text:
package com.amazonaws.services.devicefarm.model;

import java.io.Serializable;
import javax.annotation.Generated;

import com.amazonaws.AmazonWebServiceRequest;

/**
 *
 * @see AWS
 *      API Documentation
 */
@Generated("com.amazonaws:aws-java-sdk-code-generator")
public class CreateNetworkProfileRequest extends com.amazonaws.AmazonWebServiceRequest implements Serializable, Cloneable {

    /**
     *

     * The Amazon Resource Name (ARN) of the project for which you want to create a network profile.
     *

     */
    private String projectArn;
    /**
     *

     * The name you wish to specify for the new network profile.
     *

     */
    private String name;
    /**
     *

     * The description of the network profile.
     *

     */
    private String description;
    /**
     *

     * The type of network profile you wish to create. Valid values are listed below.
     *

     */
    private String type;
    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     */
    private Long uplinkBandwidthBits;
    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     */
    private Long downlinkBandwidthBits;
    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     */
    private Long uplinkDelayMs;
    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     */
    private Long downlinkDelayMs;
    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     */
    private Long uplinkJitterMs;
    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     */
    private Long downlinkJitterMs;
    /**
     *

     * Proportion of transmitted packets that fail to arrive from 0 to 100 percent.
     *

     */
    private Integer uplinkLossPercent;
    /**
     *

     * Proportion of received packets that fail to arrive from 0 to 100 percent.
     *

     */
    private Integer downlinkLossPercent;

    /**
     *

     * The Amazon Resource Name (ARN) of the project for which you want to create a network profile.
     *

     *
     * @param projectArn
     *        The Amazon Resource Name (ARN) of the project for which you want to create a network profile.
     */

    public void setProjectArn(String projectArn) {
        this.projectArn = projectArn;
    }

    /**
     *

     * The Amazon Resource Name (ARN) of the project for which you want to create a network profile.
     *

     *
     * @return The Amazon Resource Name (ARN) of the project for which you want to create a network profile.
     */

    public String getProjectArn() {
        return this.projectArn;
    }

    /**
     *

     * The Amazon Resource Name (ARN) of the project for which you want to create a network profile.
     *

     *
     * @param projectArn
     *        The Amazon Resource Name (ARN) of the project for which you want to create a network profile.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withProjectArn(String projectArn) {
        setProjectArn(projectArn);
        return this;
    }

    /**
     *

     * The name you wish to specify for the new network profile.
     *

     *
     * @param name
     *        The name you wish to specify for the new network profile.
     */

    public void setName(String name) {
        this.name = name;
    }

    /**
     *

     * The name you wish to specify for the new network profile.
     *

     *
     * @return The name you wish to specify for the new network profile.
     */

    public String getName() {
        return this.name;
    }

    /**
     *

     * The name you wish to specify for the new network profile.
     *

     *
     * @param name
     *        The name you wish to specify for the new network profile.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withName(String name) {
        setName(name);
        return this;
    }

    /**
     *

     * The description of the network profile.
     *

     *
     * @param description
     *        The description of the network profile.
     */

    public void setDescription(String description) {
        this.description = description;
    }

    /**
     *

     * The description of the network profile.
     *

     *
     * @return The description of the network profile.
     */

    public String getDescription() {
        return this.description;
    }

    /**
     *

     * The description of the network profile.
     *

     *
     * @param description
     *        The description of the network profile.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withDescription(String description) {
        setDescription(description);
        return this;
    }

    /**
     *

     * The type of network profile you wish to create. Valid values are listed below.
     *

     *
     * @param type
     *        The type of network profile you wish to create. Valid values are listed below.
     * @see NetworkProfileType
     */

    public void setType(String type) {
        this.type = type;
    }

    /**
     *

     * The type of network profile you wish to create. Valid values are listed below.
     *

     *
     * @return The type of network profile you wish to create. Valid values are listed below.
     * @see NetworkProfileType
     */

    public String getType() {
        return this.type;
    }

    /**
     *

     * The type of network profile you wish to create. Valid values are listed below.
     *

     *
     * @param type
     *        The type of network profile you wish to create. Valid values are listed below.
     * @return Returns a reference to this object so that method calls can be chained together.
     * @see NetworkProfileType
     */

    public CreateNetworkProfileRequest withType(String type) {
        setType(type);
        return this;
    }

    /**
     *

     * The type of network profile you wish to create. Valid values are listed below.
     *

     *
     * @param type
     *        The type of network profile you wish to create. Valid values are listed below.
     * @see NetworkProfileType
     */

    public void setType(NetworkProfileType type) {
        withType(type);
    }

    /**
     *

     * The type of network profile you wish to create. Valid values are listed below.
     *

     *
     * @param type
     *        The type of network profile you wish to create. Valid values are listed below.
     * @return Returns a reference to this object so that method calls can be chained together.
     * @see NetworkProfileType
     */

    public CreateNetworkProfileRequest withType(NetworkProfileType type) {
        this.type = type.toString();
        return this;
    }

    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     *
     * @param uplinkBandwidthBits
     *        The data throughput rate in bits per second, as an integer from 0 to 104857600.
     */

    public void setUplinkBandwidthBits(Long uplinkBandwidthBits) {
        this.uplinkBandwidthBits = uplinkBandwidthBits;
    }

    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     *
     * @return The data throughput rate in bits per second, as an integer from 0 to 104857600.
     */

    public Long getUplinkBandwidthBits() {
        return this.uplinkBandwidthBits;
    }

    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     *
     * @param uplinkBandwidthBits
     *        The data throughput rate in bits per second, as an integer from 0 to 104857600.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withUplinkBandwidthBits(Long uplinkBandwidthBits) {
        setUplinkBandwidthBits(uplinkBandwidthBits);
        return this;
    }

    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     *
     * @param downlinkBandwidthBits
     *        The data throughput rate in bits per second, as an integer from 0 to 104857600.
     */

    public void setDownlinkBandwidthBits(Long downlinkBandwidthBits) {
        this.downlinkBandwidthBits = downlinkBandwidthBits;
    }

    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     *
     * @return The data throughput rate in bits per second, as an integer from 0 to 104857600.
     */

    public Long getDownlinkBandwidthBits() {
        return this.downlinkBandwidthBits;
    }

    /**
     *

     * The data throughput rate in bits per second, as an integer from 0 to 104857600.
     *

     *
     * @param downlinkBandwidthBits
     *        The data throughput rate in bits per second, as an integer from 0 to 104857600.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withDownlinkBandwidthBits(Long downlinkBandwidthBits) {
        setDownlinkBandwidthBits(downlinkBandwidthBits);
        return this;
    }

    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param uplinkDelayMs
     *        Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     */

    public void setUplinkDelayMs(Long uplinkDelayMs) {
        this.uplinkDelayMs = uplinkDelayMs;
    }

    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     *
     * @return Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     */

    public Long getUplinkDelayMs() {
        return this.uplinkDelayMs;
    }

    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param uplinkDelayMs
     *        Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withUplinkDelayMs(Long uplinkDelayMs) {
        setUplinkDelayMs(uplinkDelayMs);
        return this;
    }

    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param downlinkDelayMs
     *        Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     */

    public void setDownlinkDelayMs(Long downlinkDelayMs) {
        this.downlinkDelayMs = downlinkDelayMs;
    }

    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     *
     * @return Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     */

    public Long getDownlinkDelayMs() {
        return this.downlinkDelayMs;
    }

    /**
     *

     * Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param downlinkDelayMs
     *        Delay time for all packets to destination in milliseconds as an integer from 0 to 2000.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withDownlinkDelayMs(Long downlinkDelayMs) {
        setDownlinkDelayMs(downlinkDelayMs);
        return this;
    }

    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param uplinkJitterMs
     *        Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     */

    public void setUplinkJitterMs(Long uplinkJitterMs) {
        this.uplinkJitterMs = uplinkJitterMs;
    }

    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     *
     * @return Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     */

    public Long getUplinkJitterMs() {
        return this.uplinkJitterMs;
    }

    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param uplinkJitterMs
     *        Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withUplinkJitterMs(Long uplinkJitterMs) {
        setUplinkJitterMs(uplinkJitterMs);
        return this;
    }

    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param downlinkJitterMs
     *        Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     */

    public void setDownlinkJitterMs(Long downlinkJitterMs) {
        this.downlinkJitterMs = downlinkJitterMs;
    }

    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     *
     * @return Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     */

    public Long getDownlinkJitterMs() {
        return this.downlinkJitterMs;
    }

    /**
     *

     * Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     *

     *
     * @param downlinkJitterMs
     *        Time variation in the delay of received packets in milliseconds as an integer from 0 to 2000.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withDownlinkJitterMs(Long downlinkJitterMs) {
        setDownlinkJitterMs(downlinkJitterMs);
        return this;
    }

    /**
     *

     * Proportion of transmitted packets that fail to arrive from 0 to 100 percent.
     *

     *
     * @param uplinkLossPercent
     *        Proportion of transmitted packets that fail to arrive from 0 to 100 percent.
     */

    public void setUplinkLossPercent(Integer uplinkLossPercent) {
        this.uplinkLossPercent = uplinkLossPercent;
    }

    /**
     *

     * Proportion of transmitted packets that fail to arrive from 0 to 100 percent.
     *

     *
     * @return Proportion of transmitted packets that fail to arrive from 0 to 100 percent.
     */

    public Integer getUplinkLossPercent() {
        return this.uplinkLossPercent;
    }

    /**
     *

     * Proportion of transmitted packets that fail to arrive from 0 to 100 percent.
     *

     *
     * @param uplinkLossPercent
     *        Proportion of transmitted packets that fail to arrive from 0 to 100 percent.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withUplinkLossPercent(Integer uplinkLossPercent) {
        setUplinkLossPercent(uplinkLossPercent);
        return this;
    }

    /**
     *

     * Proportion of received packets that fail to arrive from 0 to 100 percent.
     *

     *
     * @param downlinkLossPercent
     *        Proportion of received packets that fail to arrive from 0 to 100 percent.
     */

    public void setDownlinkLossPercent(Integer downlinkLossPercent) {
        this.downlinkLossPercent = downlinkLossPercent;
    }

    /**
     *

     * Proportion of received packets that fail to arrive from 0 to 100 percent.
     *

     *
     * @return Proportion of received packets that fail to arrive from 0 to 100 percent.
     */

    public Integer getDownlinkLossPercent() {
        return this.downlinkLossPercent;
    }

    /**
     *

     * Proportion of received packets that fail to arrive from 0 to 100 percent.
     *

     *
     * @param downlinkLossPercent
     *        Proportion of received packets that fail to arrive from 0 to 100 percent.
     * @return Returns a reference to this object so that method calls can be chained together.
     */

    public CreateNetworkProfileRequest withDownlinkLossPercent(Integer downlinkLossPercent) {
        setDownlinkLossPercent(downlinkLossPercent);
        return this;
    }

    /**
     * Returns a string representation of this object. This is useful for testing and debugging. Sensitive data will be
     * redacted from this string using a placeholder value.
     *
     * @return A string representation of this object.
     *
     * @see java.lang.Object#toString()
     */
    @Override
    public String toString() {
        StringBuilder sb = new StringBuilder();
        sb.append("{");
        if (getProjectArn() != null)
            sb.append("ProjectArn: ").append(getProjectArn()).append(",");
        if (getName() != null)
            sb.append("Name: ").append(getName()).append(",");
        if (getDescription() != null)
            sb.append("Description: ").append(getDescription()).append(",");
        if (getType() != null)
            sb.append("Type: ").append(getType()).append(",");
        if (getUplinkBandwidthBits() != null)
            sb.append("UplinkBandwidthBits: ").append(getUplinkBandwidthBits()).append(",");
        if (getDownlinkBandwidthBits() != null)
            sb.append("DownlinkBandwidthBits: ").append(getDownlinkBandwidthBits()).append(",");
        if (getUplinkDelayMs() != null)
            sb.append("UplinkDelayMs: ").append(getUplinkDelayMs()).append(",");
        if (getDownlinkDelayMs() != null)
            sb.append("DownlinkDelayMs: ").append(getDownlinkDelayMs()).append(",");
        if (getUplinkJitterMs() != null)
            sb.append("UplinkJitterMs: ").append(getUplinkJitterMs()).append(",");
        if (getDownlinkJitterMs() != null)
            sb.append("DownlinkJitterMs: ").append(getDownlinkJitterMs()).append(",");
        if (getUplinkLossPercent() != null)
            sb.append("UplinkLossPercent: ").append(getUplinkLossPercent()).append(",");
        if (getDownlinkLossPercent() != null)
            sb.append("DownlinkLossPercent: ").append(getDownlinkLossPercent());
        sb.append("}");
        return sb.toString();
    }

    @Override
    public boolean equals(Object obj) {
        if (this == obj)
            return true;
        if (obj == null)
            return false;

        if (obj instanceof CreateNetworkProfileRequest == false)
            return false;
        CreateNetworkProfileRequest other = (CreateNetworkProfileRequest) obj;
        if (other.getProjectArn() == null ^ this.getProjectArn() == null)
            return false;
        if (other.getProjectArn() != null && other.getProjectArn().equals(this.getProjectArn()) == false)
            return false;
        if (other.getName() == null ^ this.getName() == null)
            return false;
        if (other.getName() != null && other.getName().equals(this.getName()) == false)
            return false;
        if (other.getDescription() == null ^ this.getDescription() == null)
            return false;
        if (other.getDescription() != null && other.getDescription().equals(this.getDescription()) == false)
            return false;
        if (other.getType() == null ^ this.getType() == null)
            return false;
        if (other.getType() != null && other.getType().equals(this.getType()) == false)
            return false;
        if (other.getUplinkBandwidthBits() == null ^ this.getUplinkBandwidthBits() == null)
            return false;
        if (other.getUplinkBandwidthBits() != null && other.getUplinkBandwidthBits().equals(this.getUplinkBandwidthBits()) == false)
            return false;
        if (other.getDownlinkBandwidthBits() == null ^ this.getDownlinkBandwidthBits() == null)
            return false;
        if (other.getDownlinkBandwidthBits() != null && other.getDownlinkBandwidthBits().equals(this.getDownlinkBandwidthBits()) == false)
            return false;
        if (other.getUplinkDelayMs() == null ^ this.getUplinkDelayMs() == null)
            return false;
        if (other.getUplinkDelayMs() != null && other.getUplinkDelayMs().equals(this.getUplinkDelayMs()) == false)
            return false;
        if (other.getDownlinkDelayMs() == null ^ this.getDownlinkDelayMs() == null)
            return false;
        if (other.getDownlinkDelayMs() != null && other.getDownlinkDelayMs().equals(this.getDownlinkDelayMs()) == false)
            return false;
        if (other.getUplinkJitterMs() == null ^ this.getUplinkJitterMs() == null)
            return false;
        if (other.getUplinkJitterMs() != null && other.getUplinkJitterMs().equals(this.getUplinkJitterMs()) == false)
            return false;
        if (other.getDownlinkJitterMs() == null ^ this.getDownlinkJitterMs() == null)
            return false;
        if (other.getDownlinkJitterMs() != null && other.getDownlinkJitterMs().equals(this.getDownlinkJitterMs()) == false)
            return false;
        if (other.getUplinkLossPercent() == null ^ this.getUplinkLossPercent() == null)
            return false;
        if (other.getUplinkLossPercent() != null && other.getUplinkLossPercent().equals(this.getUplinkLossPercent()) == false)
            return false;
        if (other.getDownlinkLossPercent() == null ^ this.getDownlinkLossPercent() == null)
            return false;
        if (other.getDownlinkLossPercent() != null && other.getDownlinkLossPercent().equals(this.getDownlinkLossPercent()) == false)
            return false;
        return true;
    }

    @Override
    public int hashCode() {
        final int prime = 31;
        int hashCode = 1;

        hashCode = prime * hashCode + ((getProjectArn() == null) ? 0 : getProjectArn().hashCode());
        hashCode = prime * hashCode + ((getName() == null) ? 0 : getName().hashCode());
        hashCode = prime * hashCode + ((getDescription() == null) ? 0 : getDescription().hashCode());
        hashCode = prime * hashCode + ((getType() == null) ? 0 : getType().hashCode());
        hashCode = prime * hashCode + ((getUplinkBandwidthBits() == null) ? 0 : getUplinkBandwidthBits().hashCode());
        hashCode = prime * hashCode + ((getDownlinkBandwidthBits() == null) ? 0 : getDownlinkBandwidthBits().hashCode());
        hashCode = prime * hashCode + ((getUplinkDelayMs() == null) ? 0 : getUplinkDelayMs().hashCode());
        hashCode = prime * hashCode + ((getDownlinkDelayMs() == null) ? 0 : getDownlinkDelayMs().hashCode());
        hashCode = prime * hashCode + ((getUplinkJitterMs() == null) ? 0 : getUplinkJitterMs().hashCode());
        hashCode = prime * hashCode + ((getDownlinkJitterMs() == null) ? 0 : getDownlinkJitterMs().hashCode());
        hashCode = prime * hashCode + ((getUplinkLossPercent() == null) ? 0 : getUplinkLossPercent().hashCode());
        hashCode = prime * hashCode + ((getDownlinkLossPercent() == null) ? 0 : getDownlinkLossPercent().hashCode());
        return hashCode;
    }

    @Override
    public CreateNetworkProfileRequest clone() {
        return (CreateNetworkProfileRequest) super.clone();
    }

}


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text:
Global Consultancy
SDG Commitment
TBG Consulting
TBG Capital
TBG Purpose
Projects and Case Studies
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As a hybrid consulting firm, we enable global institutions, governmental agencies, and businesses to tackle challenges, resolve corporate issues and maximize performance. We provide a range of solutions/services and technical expertise in the areas of: Agriculture/ Agribusiness Development, Capacity Building, Complex Emergencies, Disaster Risk Management, Democracy & Governance, Economic Development, Education, Energy, Environment & Climate Change, Gender Rights, Global Healthcare, Humanitarian Affairs, Infrastructure Development, Law & Justice, Political/Institutional Development, Poverty Alleviation, Public/Private Partnerships and Conflict Resolution & Post-Conflict Development.
The Bassiouni Group prides itself on cross-functional, collaborative solutions and we draw experts from numerous disciplines. We also work selectively with the best international professionals who are sensitive to diversity and cultural context. Our partners and consultants have worked with international as well as small organizations, including government ministries, United Nations agencies, and USAID, as well as Fortune 500 and FTSE 100 corporations. TBG's Global Consultancy network consists of more than 500 experts and 18 practice groups.
The Bassiouni Group maintains a number of practice groups, which consist of our lead experts and senior consultants. These groups have been designed to coordinate the delivery of services across the firm and provide exceptional client service.
Adolescents/Youth
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Infrastructure & Urban Development (Construction, Logistics, Sustainable Housing, Planning, WASH)
Peacebuilding & Post-Conflict Transition
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Comprised of full-time senior research experts, junior analysts and research assistants, TBG's Project Management & Technical Team provide direct support to every project by undertaking qualitative and quantitative research as well as detailed scientific analyses of the key issues, factors, and metrics related to key project tasks. The responsibilities include the following:
Provide the necessary research and analytical support to all TBG projects
Apply quantitative methods and techniques to manage and analyze research data
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text:
\section{Introduction}
 \vspace*{-.5em}
 \label{sec1}

 Let $Z$ be a standard Normal random variable (r.v.)\

 and assume that $g_1,\ldots,g_p$ are
 absolutely continuous, real-valued, functions of $Z$,
 each with finite variance (with respect to $Z$).
 Olkin and Shepp (2005) presented a matrix extension
 of Chernoff's variance inequality, which reads as
 \vspace{.5em}
 follows:

 \noindent
 {\small\bf Olkin and Sepp (2005).} If $\bbb{D}=\bbb{D}(\bbb{g})$ is
 the covariance matrix of
 the random vector $\bbb{g}=(g_1(Z),\ldots,g_p(Z))^{\mbox{t}}$,
 where `$\mbox{t}$' denotes transpose,
 and if $\E[g'_i(Z)]^2<\infty$
 for all $i=1,2,\ldots,p$, then
 \[
 \bbb{D}\leq \bbb{H},
 \]
 where $\bbb{H}=\bbb{H}(\bbb{g})=(\E[g_i'(Z)g_j'(Z)])_{p\times p}$, and the inequality
 is considered in the sense of Loewner ordering, that is, the matrix
 $\bbb{H}-\bbb{D}$ is nonnegative definite.
 \vspace{.5em}

 In this note we extend and generalize
 this inequality for a large family of discrete and continuous
 r.v.'s. Specifically, our results apply
 to any r.v.\ $X$ according to
 one of the following definitions
 (c.f.\ \cite{APP1}).

 \noindent
 \begin{DEFI}
 {\small\bf (Integrated Pearson Family).}
 Let $X$ be an r.v.\ with probability density function
 (p.d.f.)\ $f$ and finite
 mean $\mu=\E(X)$. We say that $X$ follows
 the Integrated Pearson distribution
 $\mbox{IP}(\mu;\delta,\beta,\gamma)$,
 $X\sim \mbox{IP}(\mu;\delta,\beta,\gamma)$,
 if there exists a
 quadratic
 $q(x)=\delta x^2+\beta x+\gamma$
 (with $\beta,\delta,\gamma\in\R$, $|\delta|+|\beta|+|\gamma|>0$)
 such that
 \be
 \label{qua1}
 \int_{-\infty}^{x}(\mu-t)f(t)dt=q(x)f(x)
 \ \ \text{for all}  \
 x\in\R.
 \ee
 \end{DEFI}

 \begin{DEFI}
 {\small\bf (Cumulative Ord Family).}
 Let $X$ be an integer-valued r.v.\ with finite mean $\mu$ and
 assume that $p(k)=\Pr(X=k)$, $k\in\Z$,
 is the probability mass function (p.m.f.)\ of $X$.
 We say that $X$ follows the Cumulative Ord distribution
 $\mbox{CO}(\mu;\delta,\beta,\gamma)$,
 $X\sim\mbox{CO}(\mu;\delta,\beta,\gamma)$,
 if there exists a quadratic
 $q(j)=\delta j^2+\beta j+\gamma$
 (with $\beta,\delta,\gamma\in\R$, $|\delta|+|\beta|+|\gamma|>0$)
 such that
 \be
 \label{qua2}
 \sum_{k\le{j}}(\mu-k)p(k)=q(j)p(j)
 \ \ \text{for all}  \
 j\in\Z.
 \ee
 \end{DEFI}

 It is well known that the commonly used
 distributions are members of the above families,
 e.g.\ Normal, Gamma, Beta, $F$ and $t$ distributions belong to
 the Integrated Pearson
 family, while
 Poisson, Binomial, Pascal (Negative Binomial) and Hypergeometric
 distribution
 are members
 of the Cumulative Ord family.
 Therefore,
 the results of the present note also improve and unify the corresponding bounds for Beta r.v.'s, given by Prakasa Rao (2006) and Wei and Zhang (2009).

 \section{Matrix variance inequalities of Poincar\'{e} and Bessel type}
 \subsection{Continuous Case}
 In this subsection we shall make use
 of the following
 notations.
 \smallskip

 Assume that
 $X\sim\mbox{IP}(\mu;\delta,\beta,\gamma)$
 and
 denote by $q(x)=\delta x^2+\beta x+\gamma$ its
 quadratic.
 It is known that, under (\ref{qua1}),
 the support $J=J(X)=\{x\in\R:f(x)>0\}$
 is a (finite or infinite)
 open interval, say $J(X)=(\alpha,\omega)$ ---
 see \cite{APP1}, \cite{APP2}.
 \smallskip

 For a fixed integer $n\in\{1,2,\ldots\}$
 we shall denote by
 $\CH^n(X)$ the
 class of functions
 $g:(\alpha,\omega)\to\R$ satisfying the following properties:
 \smallskip

 \noindent
 H$_1$:
 For each $k\in\{0,1,\ldots,n-1\}$,
 $g^{(k)}$ (with $g^{(0)}=g$)
 is an absolutely continuous function with
 derivative $g^{(k+1)}$.
 \smallskip

 \noindent
 H$_2$:
 For each $k\in\{0,1,\ldots,n\}$,
 $\E[q^k(X) (g^{(k)}(X))^2]<\infty$.
 \bigskip

 Also, for a fixed integer $n\in\{1,2,\ldots\}$
 we shall denote by
 $\CB^n(X)$ the
 class of functions
 $g:(\alpha,\omega)\to\R$ satisfying the
 following properties:
 \smallskip

 \noindent
 B$_1$: $\Var[g(X)]<\infty$.
 \smallskip

 \noindent
 B$_2$:
 For each $k\in\{0,1,\ldots,n-1\}$,
 $g^{(k)}$ (with $g^{(0)}=g$)
 is an absolutely continuous function with
 derivative $g^{(k+1)}$.
 \smallskip

 \noindent
 B$_3$:
 For each $k\in\{0,1,\ldots,n\}$,
 $\E[q^k(X) |g^{(k)}(X)|]<\infty$.
 \bigskip

 \noindent
 Clearly, if $\E|X|^{2n}<\infty$ then $\CH^n(X)\subseteq
 \CB^n(X)$ (note that H$_2$ (with $k=0$) yields B$_1$), since
 by the C-S inequality,
 $\E^2[q^k(X)|g^{(k)}(X)|]\leq
 \E[q^k(X)]\cdot\E[q^k(X)(g^{(k)}(X))^2]$.
 \vspace{.4em}

 Consider now any $p$ functions
 $g_1,\ldots,g_p\in \CH^n(X)$ and set
 $\bbb{g}=(g_1,g_2,\ldots,g_p)^{\mbox{t}}$.
 Then,
 the following $p\times p$
 matrices $\bbb{H}_k=\bbb{H}_k(\bbb{g})$
 are well-defined for $k=1,2,\ldots,n$:
 \be
 \label{c-m eq H}
 {\bbb H}_k=(h_{ij;k}), \ \
 \mbox{where} \ \
 h_{ij;k}:=\E[q^{k}(X)g_i^{(k)}(X)g_j^{(k)}(X)],
 \ \ i,j=1,2,\ldots,p.
 \ee
 Similarly,
 for any functions
 $g_1,\ldots,g_p\in \CB^n(X)$,
 the following $p\times p$
 matrices $\bbb{B}_k=\bbb{B}_k(\bbb{g})$
 are well-defined for $k=1,2,\ldots,n$:
 \be
 \label{c-m eq B}
 {\bbb B}_k=(b_{ij;k}), \ \
 \mbox{where} \ \
 b_{ij;k}:=\E[q^{k}(X)g_i^{(k)}(X)]\cdot
 \E[q^{k}(X)g_j^{(k)}(X)],
 \ \ i,j=1,2,\ldots,p.
 \ee

 Our first result concerns a class of Poincar\'{e}-type
 matrix variance bounds, as follows:
 \begin{theo}
 \label{th.c.Poincare}
 {\rm
 Let $X\sim\IP$ and assume that $\E|X|^{2n}<\infty$ for some
 fixed integer $n\in\{1,2,\ldots\}$.
 Let $g_1,\dots,g_p$ be arbitrary functions in $\CH^{n}(X)$
 and denote by $\bbb{D}=\bbb{D}(\bbb{g})$
 the dispersion matrix of the random
 vector $\bbb{g}=\bbb{g}(X)=(g_1(X),\ldots,g_p(X))^{\mbox{t}}$.
 Also, denote by $\bbb{S}_n=\bbb{S}_n(\bbb{g})$ the
 $p\times p$ matrix
 \[
 \bbb{S}_{n}=\sum_{k=1}^n
 \frac{(-1)^{k-1}}{k!\prod_{j=0}^{k-1}(1-j\delta)}\cdot
 \bbb{H}_k,

 \]
 where the  matrices $\bbb{H}_k$, $k=1,2,\ldots,n$, are
 defined by (\ref{c-m eq H}).
 Then, the matrix
 \[
 \bbb{A}_n=(-1)^n (\bbb{D}-\bbb{S}_n)
 \]
 is nonnegative definite. Moreover,
 $\bbb{A}_n$ is positive definite unless
 there exist constants $c_1,\ldots,c_p\in\R$, not all zero,
 such that the function $c_1g_1(x)+\cdots+c_pg_p(x)$ is a
 polynomial (in $x$) of degree at most $n$.
 }
 \end{theo}
 \begin{pr}{Proof}
 Fix $\bbb{c}=(c_1,\ldots,c_p)^{\mbox{t}}\in\R^p$ and define the function
 $h_{\bbb{c}}(x)=\bbb{c}^{\mbox{t}} \cdot \bbb{g}(x)=c_1g_1(x)+\cdots+c_pg_p(x)$.
 Since $g_1,\ldots,g_p\in \CH^n(X)$ we see that the function
 $h_{\bbb{c}}$ belongs to $\CH^n(X)$  and, in particular,
 $h_{\bbb{c}}(X)$
 has finite variance

 and
 $\E[q^{k}(X)(h^{(k)}_{\bbb{c}}(X))^2]<\infty$,
 $k=1,2\ldots,n$.
 Thus, we can make use of the inequality
 (see \cite{APP1}, \cite{Joh}; c.f.\ \cite{HK},
 \cite{Pap})
 \[
 (-1)^n[\Var h_{\bbb{c}}(X)-S_n]\ge0, \ \
 \mbox{where} \ \
 S_n=
 \sum_{k=1}^{n}\frac{(-1)^{k-1}}{k!\prod_{j=0}^{k-1}(1-j\delta)}
 \E[q^k(X)(h_{\bbb{c}}^{(k)}(X))^2],
 \]
 in which the equality holds if and only if
 $h_{\bbb{c}}$ is a polynomial of degree at most $n$.
 It is well-known that $\Var h_{\bbb{c}}(X)=\bbb{c}^{\mbox{t}} \bbb{D}\bbb{c}$ and
 it is easily seen that
 $\E[q^k(X)(h_{\bbb{c}}^{(k)}(X))^2]=\bbb{c}^{\mbox{t}} \bbb{H}_k
 \bbb{c}$ with $\bbb{H}_k$ ($k=1,\ldots,n$) as in
 (\ref{c-m eq H}). Thus,
 $S_n=\bbb{c}^{\mbox{t}} {\bbb{S}}_n \bbb{c}$ and the preceding inequality
 takes the form
 \[
 \bbb{c}^{\mbox{t}} \left[(-1)^n (\bbb{D}-\bbb{S}_n)
 \right]\bbb{c}\geq 0.
 \]
 Since $\bbb{c}\in\R^p$ is arbitrary it follows
 that the matrix $(-1)^n (\bbb{D}-\bbb{S}_n)$ is
 nonnegative definite. Clearly
 the inequality is strict for all $\bbb{c}\in \R^p$
 for which $h_{\bbb{c}}\notin\spam[1,x,\ldots,x^{n}]$.
 $\Box$
 \end{pr}
 \bigskip

 \noindent
 {\small\bf Remark 1.}
 (a)
 Olkin and Shepp's (2005) matrix inequalities are particular
 cases of Theorem \ref{th.c.Poincare} for $n=1$  and with
 $X$ being a standard
 Normal or a Gamma r.v. For example, when $n=1$ and
 $X=Z\sim N(0,1)\equiv\mbox{IP}(0;0,0,1)$
 then
 $\bbb{S}_1=\bbb{H}_1=\bbb{H}=(\E[g_i'(Z)g_j'(Z)])_{p\times p}$
 and we get the inequality $\bbb{D}\leq \bbb{H}$ (in the
 Loewner ordering). Moreover, for $X=Z$ and $n=2$ or $3$, Theorem
 \ref{th.c.Poincare} yields the new  matrix variance bounds
 $\bbb{H}-\frac{1}{2}\bbb{H}_2\leq \bbb{D}$ and
 $\bbb{D}\leq \bbb{H}-\frac{1}{2}\bbb{H}_2+\frac{1}{6}\bbb{H}_3 $
 where
 $\bbb{H}_2=(\E[g''_i(Z)g''_j(Z)])_{p\times p}$ and
 $\bbb{H}_3=(\E[g'''_i(Z)g'''_j(Z)])_{p\times p}$.
 \vspace{.3em}

 \noindent
 (b)
 Theorem 1 applies to Beta r.v.'s. In particular,  when $n=1$ and $X\sim$Beta$(a,b)$ (with p.d.f.\
 $f(x)\propto x^{a-1}(1-x)^{b-1}$, $0<x<1$, and parameters $a,b>0$) then
 $q(x)=x(1-x)/(a+b)$. Theorem 1 yields the inequality $\bbb{D}\leq \bbb{H}$ (in the Loewner ordering) where
 $\bbb{H}=\frac{1}{a+b}
 (\E[X(1-X)g'_i(X)g'_j(X)])_{p\times p}$.
 This compares with Theorem 4.1 in
 Prakasa Rao (2006); c.f.\
 Wei and Zhang (2009), Remark 1.

 \vspace{1em}

 Next we show some similar Bessel-type
 matrix variance bounds. The particular case
 of a Beta r.v.\ is covered by Theorem 1 of Wei
 and Zhang (2009).
 \begin{theo}
 \label{th.c.Bessel}
 {\rm
 Let $X\sim\IP$ and assume that $\E|X|^{2n}<\infty$ for some
 fixed integer $n\in\{1,2,\ldots\}$.
 Let $g_1,\dots,g_p$ be arbitrary functions in $\CB^{n}(X)$
 and denote by $\bbb{D}=\bbb{D}(\bbb{g})$
 the dispersion matrix of the random
 vector $\bbb{g}=\bbb{g}(X)=(g_1(X),\ldots,g_p(X))^{\mbox{t}}$.
 Also, denote by $\bbb{L}_n=\bbb{L}_n(\bbb{g})$ the
 $p\times p$ matrix
 \[
 \bbb{L}_{n}=\sum_{k=1}^n
 \frac{1}{k! \ \E[q^k(X)]\prod_{j=k-1}^{2k-2}(1-j\delta)}\cdot
 \bbb{B}_k,
 \]
 where the matrices $\bbb{B}_k$, $k=1,2,\ldots,n$, are
 defined by (\ref{c-m eq B}).
 Then,
 \[
  \bbb{L}_n \leq\bbb{D}
 \]
 in the Loewner ordering. Moreover,
 $\bbb{D}-\bbb{L}_n$ is positive definite unless
 there exist constants $c_1,\ldots,c_p\in\R$, not all zero,
 such that the function $c_1g_1(x)+\cdots+c_pg_p(x)$ is a
 polynomial (in $x$) of degree at most $n$.
 }
 \end{theo}
 \begin{pr}{Proof}
 Fix $\bbb{c}=(c_1,\ldots,c_p)^{\mbox{t}}\in\R^p$ and, as in the previous proof, define the function
 $h_{\bbb{c}}(x)=\bbb{c}^{\mbox{t}} \cdot \bbb{g}(x)=c_1g_1(x)+\cdots+c_pg_p(x)$.
 Since $g_1,\ldots,g_p\in \CB^n(X)$ we see that the function
 $h_{\bbb{c}}$ belongs to $\CB^n(X)$. In particular,
 $h_{\bbb{c}}(X)$
 has finite variance

 and
 $\E[q^{k}(X)|h^{(k)}_{\bbb{c}}(X)|]<\infty$,
 $k=1,2\ldots,n$.
 Thus, we can apply the inequality

 (see \cite{APP2})
 \[
 \Var h_{\bbb{c}}(X)\geq L_n, \ \
 \mbox{where} \ \
 L_n=
 \sum_{k=1}^{n}\frac{\E^2[q^k(X) h_{\bbb{c}}^{(k)}(X)]}{k!
 \  \E[q^k(X)] \prod_{j=k-1}^{2k-2}(1-j\delta)},
 \]
 in which the equality holds if and only if
 $h_{\bbb{c}}$ is a polynomial of degree at most $n$.
 Observe that $\Var h_{\bbb{c}}(X)=\bbb{c}^{\mbox{t}} \bbb{D}\bbb{c}$ and
 $\E^2[q^k(X)|h_{\bbb{c}}^{(k)}(X)|]=\bbb{c}^t \bbb{B}_k
 \bbb{c}$ with $\bbb{B}_k$ ($k=1,\ldots,n$) as in
 (\ref{c-m eq B}). Thus,
 $L_n=\bbb{c}^{\mbox{t}} {\bbb{L}}_n \bbb{c}$ and the preceding inequality
 takes the form
 \[
 \bbb{c}^{\mbox{t}} \left[\bbb{D}-\bbb{L}_n
 \right]\bbb{c}\geq 0.
 \]
 Since $\bbb{c}\in\R^p$ is arbitrary it follows
 that the matrix $\bbb{D}-\bbb{L}_n$ is
 nonnegative definite. Clearly
 the inequality is strict for all $\bbb{c}\in \R^p$
 for which $h_{\bbb{c}}\notin\spam[1,x,\ldots,x^{n}]$.
 $\Box$
 \end{pr}

 \subsection{Discrete Case}
 In this subsection we shall make use of the following
 notations.
 \smallskip

 Assume that
 $X\sim\mbox{CO}(\mu;\delta,\beta,\gamma)$.
 It is known (see \cite{APP1}, \cite{APP2}) that,
 under {\rm(\ref{qua2})}, the
 support $J=J(X)=\{k\in\Z:p(k)>0\}$ is a (finite of infinite) interval of integers, say
 $J(X)=\{\alpha,\alpha+1,\ldots,\omega-1,\omega\}$.
 Write $q(x)=\delta x^2+\beta x+\gamma$ for the quadratic of $X$ and let $q^{[k]}(x)=q(x)q(x+1)\cdots q(x+k-1)$
 for $k=1,2,\ldots$ (with $q^{[0]}(x)\equiv 1$, $q^{[1]}(x)\equiv
 q(x)$). For any function $g:\Z\to\R$ we shall denote by
 $\Delta^k[g(x)]$ its $k$-th forward difference, i.e.,
 $\Delta^k[g(x)]=\Delta[\Delta^{k-1}[g(x)]]$,
 $k=1,2,\ldots$,
 with $\Delta[g(x)]=g(x+1)-g(x)$ and
 $\Delta^0[g(x)]\equiv  g(x)$.
 \smallskip

 For a fixed integer $n\in\{1,2,\ldots\}$
 we shall denote by
 $\CH_d^n(X)$ the
 class of functions
 $g:J(X)\to\R$ satisfying the following property:
 \smallskip

 \noindent
 HD$_1$:
 For each $k\in\{0,1,\ldots,n\}$,
 $\E[q^{[k]}(X) (\Delta^k[g(X)])^2]<\infty$.
 \smallskip

 Also, for a fixed integer $n\in\{1,2,\ldots\}$
 we shall denote by
 $\CB_d^n(X)$ the
 class of functions
 $g:J(X)\to\R$ satisfying the
 following properties:
 \smallskip

 \noindent
 BD$_1$: $\Var[g(X)]<\infty$.
 \smallskip

 \noindent
 BD$_2$:
 For each $k\in\{0,1,\ldots,n\}$,
 $\E[q^k(X) |\Delta^k[g(X)]|]<\infty$.
 \smallskip

 \noindent
 Clearly, if $\E|X|^{2n}<\infty$ then $\CH_d^n(X)\subseteq
 \CB_d^n(X)$ (note that HD$_1$ (with $k=0$) yields BD$_1$).
 Indeed, since $\Pr[q^{[k]}(X)\geq 0]=1$,
 the C-S inequality implies that $\E^2[q^{[k]}(X)|\Delta^k[g(X)]|]\leq
 \E[q^{[k]}(X)]\cdot\E[q^{[k]}(X)(\Delta^k[g(X)])^2]$.
 \vspace{.4em}

 Consider now any $p$ functions
 $g_1,\ldots,g_p\in \CH_d^n(X)$ and set
 $\bbb{g}=(g_1,g_2,\ldots,g_p)^{\mbox{t}}$.
 Then,
 the following $p\times p$
 matrices $\bbb{H}_k=\bbb{H}_k(\bbb{g})$
 are well-defined for $k=1,2,\ldots,n$:
 \be
 \label{c-m eq Hd}
 {\bbb H}_k=(h_{ij;k}), \ \
 \mbox{where} \ \
 h_{ij;k}:=\E[q^{[k]}(X)\Delta^k [g_i(X)] \Delta^k [g_j(X)]],
 \ \ i,j=1,2,\ldots,p.
 \ee
 Similarly,
 for any functions
 $g_1,\ldots,g_p\in \CB_d^n(X)$,
 the following $p\times p$
 matrices $\bbb{B}_k=\bbb{B}_k(\bbb{g})$
 are well-defined for $k=1,2,\ldots,n$:
 \begin{eqnarray}

 && {\bbb B}_k=(b_{ij;k}),
 \ \
 \mbox{where}
 \nonumber
 \\
 \label{c-m eq Bd}
 &&
 b_{ij;k}:=\E[q^{[k]}(X)\Delta^k[g_i(X)]]\cdot
 \E[q^{[k]}(X)\Delta^k[g_j(X)]],
 \ \ i,j=1,2,\ldots,p.
 \end{eqnarray}

 The matrix variance inequalities for the discrete case
 are summarized in the
 following theorem; its proof, being the same as in the
 continuous case, is omitted.
 \begin{theo}
 \label{th.d.Poincare.Bessel}
 {\rm
 Let $X\sim\CO$ and assume that $\E|X|^{2n}<\infty$ for some
 fixed integer $n\in\{1,2,\ldots\}$.
 \vspace{.2em}

 \noindent
 (a)
 Let $g_1,\dots,g_p$ be arbitrary functions in $\CH_d^{n}(X)$
 and denote by $\bbb{D}=\bbb{D}(\bbb{g})$
 the dispersion matrix of the random
 vector $\bbb{g}=\bbb{g}(X)=(g_1(X),\ldots,g_p(X))^{\mbox{t}}$.
 Also, denote by $\bbb{S}_n=\bbb{S}_n(\bbb{g})$ the
 $p\times p$ matrix
 \[
 \bbb{S}_{n}=\sum_{k=1}^n
 \frac{(-1)^{k-1}}{k!\prod_{j=0}^{k-1}(1-j\delta)}\cdot
 \bbb{H}_k,
 \]
 where the  matrices $\bbb{H}_k$, $k=1,2,\ldots,n$, are
 defined by (\ref{c-m eq Hd}).
 Then, the matrix
 \[
 \bbb{A}_n=(-1)^n (\bbb{D}-\bbb{S}_n)
 \]
 is nonnegative definite. Moreover,
 $\bbb{A}_n$ is positive definite unless
 there exist constants $c_1,\ldots,c_p\in\R$, not all zero,
 and a polynomial $P_n:\R\to\R$, of degree at most $n$,
 such that $\Pr[c_1g_1(X)+\cdots+c_pg_p(X)=P_n(X)]=1$.
 \vspace{.2em}

 \noindent
 (b)
 Let $g_1,\dots,g_p$ be arbitrary functions in $\CB_d^{n}(X)$
 and denote by $\bbb{D}=\bbb{D}(\bbb{g})$
 the dispersion matrix of the random
 vector $\bbb{g}=\bbb{g}(X)=(g_1(X),\ldots,g_p(X))^{\mbox{t}}$.
 Also, denote by $\bbb{L}_n=\bbb{L}_n(\bbb{g})$ the
 $p\times p$ matrix
 \[
 \bbb{L}_{n}=\sum_{k=1}^n
 \frac{1}{k! \ \E[q^{[k]}(X)]\prod_{j=k-1}^{2k-2}(1-j\delta)}\cdot
 \bbb{B}_k,
 \]
 where the matrices $\bbb{B}_k$, $k=1,2,\ldots,n$, are
 defined by (\ref{c-m eq Bd}).
 Then,
 \[
  \bbb{L}_n \leq\bbb{D}
 \]
 in the Loewner ordering. Moreover,
 $\bbb{D}-\bbb{L}_n$ is positive definite
 unless
 there exist constants $c_1,\ldots,c_p\in\R$, not all zero,
 and a polynomial $P_n:\R\to\R$, of degree at most $n$,
 such that $\Pr[c_1g_1(X)+\cdots+c_pg_p(X)=P_n(X)]=1$.

 \newline
 [It should be noted that the $k$-th term in the sum
 defining the matrix $\bbb{S}_n$ or the matrix $\bbb{L}_n$,
 above, should be treated as the null matrix,
 $\bbb{0}_{p\times p}$, whenever $\E[q^{[k]}(X)]=0$.]
 }
 \end{theo}

 As an example consider the case where $X\sim\mbox{Poisson}(\lambda)$
 with p.m.f.\ $p(k)=e^{-\lambda}\lambda^k/k!$,
 $k=0,1,\ldots$ ($\lambda>0$). Then
 $X\sim\mbox{CO}(\lambda;0,0,\lambda)$ so that $q(x)\equiv
 \lambda$. It follows that
 $\bbb{H}_k=\lambda^k (\E[\Delta^k[g_i(X)]\Delta^k[g_j(X)]])_{p\times p}$
 and
 $\bbb{B}_k=\lambda^{2k} (\E[\Delta^k[g_i(X)]]\cdot\E[\Delta^k[g_j(X)]])_{p\times
 p}$. Thus, for $n=1$ and $p=2$ Theorem
 \ref{th.d.Poincare.Bessel}(a) yields the matrix inequality
 \[
 \left(
 \begin{array}{cc}
 \Var[g_1] & \Cov[g_1,g_2] \\
 \Cov[g_1,g_2] & \Var[g_2]
 \end{array}
 \right)
 \leq
 \lambda
 \left(
 \begin{array}{cc}
 \E[(\Delta[g_1])^2] & \E[\Delta[g_1]\Delta[g_2]] \\
 \E[\Delta[g_1]\Delta[g_2]] & \E[(\Delta[g_2])^2]
 \end{array}
 \right).
 \]

 \small

redpajama_set_name: RedPajamaArXiv


I can honestly say gushing over my talented colleagues for three posts in a row was unplanned. I'm sure you've heard of the uber-hip David Jimenez. He recently contributed to the first issue of High Gloss Magazine in which one of his table designs for DIFFA Dining by Design was featured. Gorgeous, right! The first time I met David was at the same DIFFA event in 2007 when I too designed a table, however, mine was on a much smaller budget and no where near the caliber of David's table.
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text:
Xn--80aaemcf0bdmlzdaep5lf.xn--p1ai
Contracts For Difference Electrcity
In conventional financial market analysis, a contract for differences (CFD) is an agreement to exchange the opening and closing prices of some financial asset. In electricity markets, a CFD is a bilateral agreement in which one party gets a fixed price for electric energy (the strike price) plus an adjustment to cover the difference between the strike price and the spot price.
The Contracts for Difference (CfD) scheme is the government's main mechanism for supporting low-carbon electricity generation.
Contracts for Difference Allocation Round 3 Auction Scenarios
These Regulations amend the Contracts for Difference (Electricity Supplier Obligations) Regulations (S.I. /) (the " Regulations") which impose obligations on persons who supply electricity in Great Britain. CFD (Contracts for Difference) are contracts which the CFD counterparty, a person designated as such under section 7 of the Energy Actmust enter into by virtue.
Banks Renewables behind CfD legal challenge - Energy Live News
Contracts for Difference. The purpose of CfD is to incentivise investments in new low-carbon electricity generation in the UK by providing stability and predictability to future revenue streams.
Contracts For Difference Electrcity: EMR Portal - Home
The Government stated that: 'we must decarbonise electricity generation and it is vital that we take action now to transform the UK permanently into a low-carbon economy and meet our 20 per cent renewable.
The Contract for Difference (CfD) scheme is the government's main mechanism for supporting the deployment of new low carbon electricity generation. It has been designed to reduce the cost of capital for developers bringing forward low-carbon projects with high up-front costs and long payback times, whilst minimising costs to consumers. · Cornwall Insight's Renewables Pipeline Tracker service has examined the potential capacity that could enter the Contract for Difference (CfD) Allocation Round (AR) 4, with the analysis showing there is currently 17GW* of technologies likely to be eligible to bid.
A Contract for Difference (CFD) is a private law contract between a low carbon electricity generator and the Low Carbon Contracts Company (LCCC), a government-owned company.
CONTRACTS FOR DIFFERENCE AND CAPACITY MARKET …
A Contract for Difference (CFD) refers to a contract that enables two parties to enter into an agreement to trade on financial instruments. Marketable Securities Marketable securities are unrestricted short-term financial instruments that are issued either for equity securities or for debt securities of a publicly listed company.
The levy, known as Contracts for Difference (CfDs) is designed to replace the Renewables Obligation (RO). For now though it will be an additional cost on electricity bills. For now though it will be an additional cost on electricity bills. · The Contracts for Difference (CfD) scheme is the UK Government's main mechanism for supporting new, low carbon electricity generation projects. The government is considering a number of changes to the way the CfD scheme operates so that it can continue to support new generation and provide value for bill payers for the next allocation round.
What are business electricity Contracts for Difference (CFD)? There are two types of Contracts for Difference (CFD), one relevant to investments and one that is a new levy on UK business electricity customers, envisaged as a replacement for the current Renewables Obligation (RO).
In fact, the two are closely related: in business electricity, a Contract for Difference (CFD) is a contract. A Contract for Difference (CFD) is a private law contract between a low-carbon electricity generator and the government-owned company, Low Carbon Contracts Company (LCCC). The idea is that agreeing fixed rates for a certain number of years – settled at auctions – will incentivise companies to commit to producing low-carbon energy.
This consultation concerns changes the government is considering making to the Contracts for Difference (CfD) scheme, which provides support for new low carbon electricity generation projects. The. · A contract for differences (CFD) is a marginable financial derivative that can be used to speculate on very short-term price movements for a variety of underlying instruments.
Education General. · In a VPPA (also sometimes called a "contract for differences"), a buyer pays a fixed price to the seller for the project's generation and associated RECs. Instead of taking title to the power from the facility, which requires a FERC license and scheduling expertise, the energy is liquidated into the wholesale power market by the seller.
Long-term trades are contracts similar to power purchase agreements and generally considered private bi-lateral transactions between counterparties. Wholesale transactions (bids and offers) in electricity are typically cleared and settled by the market operator or a special-purpose independent entity charged exclusively with that function.
Financial PPAs are also sometimes known as virtual or synthetic PPAs, a contract for differences, or a fixed-for-floating swap. Financial PPAs are an innovative and useful procurement option for organizations, particularly those in traditionally regulated electricity markets that generally do not permit PPPAs. · These changes are being brought about through amendments to the Contracts for Difference (Electricity Supplier Obligations) Regulations, which were laid before Parliament on 4 June and should hopefully be approved by 9 July (the date LCCC are due to carry out their reconciliation process for the current quarter).
Statement on Contracts for Difference. Energy Minister reacts to renewable energy Contracts for Difference announcement. Minister for Business, Innovation and Energy, Paul Wheelhouse, said: "I am extremely disappointed, indeed angered, by the UK Government's handling of this vitally important issue.
The electricity produced by generators is bought by an entity that will often, in turn, resell that power to meet end-user demand. These resale entities will generally buy electricity through markets or through contracts between individual buyers or sellers. In some cases, utilities may own generation and sell directly to end-use customers. Subscribe to our mailing list. © - Low Carbon Contracts Company Ltd. Contracts for Difference (CfD) This will provide long-term revenue stabilisation for new low carbon initiatives.
Find out more about CfD on xn--80aaemcf0bdmlzdaep5lf.xn--p1ai Both will be administered by delivery partners of the Department of Energy and Climate Change (DECC). This includes National Grid Electricity Transmission plc (NGET) as the EMR Delivery Body.
The Feed-in-Tariffs with Contracts-for Difference. The principles behind the CfD are straightforward, however the details of the implementation include a degree of complexity. The principles of the CfD are that: – If the market price for electricity is above the strike price, the generator pays back the difference.
Contracts for Difference Scheme, as required by the Energy Act The focus of the five-year review is to outline to what extent policies in each chapter met their original objectives and if the objectives remain appropriate and, if so, the extent to which those objectives could be achieved in a way that imposes less regulation.
The CfD five. UK Energy Minister considers marine energy ring-fencing in next CfD auction Posted by [email protected] on Decem | Featured UK Energy Minister Kwasi Kwarteng has confirmed the government is considering the creation of a 'pot within a pot' for marine energy in the contracts for difference auction round. A contract for difference (CFD) is a popular form of derivative trading.
CFD trading enables you to speculate on the rising or falling prices of fast-moving global financial markets (or instruments) such as shares, indices, commodities, currencies and treasuries. Under a fixed energy contract, customers have greater peace of mind, higher levels of certainty and predictability in their budget projections, provided, of course, that the actual consumption remains within predefined contract levels. And even though a fixed energy contract may be simpler and easier to manage, it can also have its limitations.
· Unite fully appreciates that the Contracts for Difference process is a reserved issue but as we have repeatedly pointed out there are many levers at the Scottish Government's disposal so to. The Low Carbon Contracts Company and the Electricity Settlements Company were established to help deliver the Contracts for Difference and the Capacity Market schemes.
· A contract for differences (CFD) allows a trader to exchange the difference in the value of a financial product between the time the contract opens and. This note examines Contracts for Difference (CFD) in the context of the UK government's support for low carbon electricity generation under the Electricity Market Reform (EMR), including pricing, legal framework, the auction process and allocation mechanism.
Contracts for Difference.
Contracts for Difference (CfD) is one of the key mechanisms implemented by the UK Government as part of Electricity Market Reform to incentivise investment in new low carbon generation technology.
Contracts for Difference; Capacity Market Mechanism; Carbon Price Floor; and Emissions Performance Standard. The EMR reforms have three key aims: to bolster the security of electricity supplies, encourage the decarbonisation of the power sector and keep energy affordable.
This briefing looks at the Contract for Difference (CfD). · You're moving and you're in a long-term contract with your electricity provider. Fortunately, you are protected. If you are moving, you will not have to pay an early termination fee for your electricity contract. Your provider may require proof of your change of address in order to waive the cancellation fee.
United Kingdom; Energy and infrastructure - Clean energy; On 24th Novemberthe UK Government published its much anticipated response to its consultation on proposed changes to the Contracts for Difference (CfD) scheme ahead of the fourth allocation round (AR4), which is scheduled to take place in late and which will aim to support up to double the capacity supported in.
· Contracts for difference (CfD) renewable energy support scheme: letter Policy and strategy Letter to the Minister of State for Energy and Clean Growth about the inclusion of onshore wind in the CfD energy support scheme.
· A spokesperson added: "Our Contracts for Difference scheme has supported the investment of £m annually in renewable technologies and more than 50% of our energy now comes from low carbon. Market contracts may cost less, offer renewable energy or discounts, and often have fixed term durations where exit fees are charged if you leave early. Market contracts differ between retailers and it is advisable when choosing a market contract to shop around for the one that best suits your needs.
· The contract for difference approach may suit customers with large energy portfolios and sophisticated energy management teams, or who already have hedging arrangements in place (such as for vehicle fuel) or other forms of derivative contracts. Organisations that have entered this type of contract are UNSW and UTS.
· Offshore wind has dominated the third UK Contracts for Difference auction, with GW of projects securing support starting as low as £ per megawatt-hour. Six offshore wind farms have been selected at prices 30% lower than the last CfD auction, which was held in · Energy Minister Kwasi Kwarteng said: "The UK is a world leader in clean energy, with over a third of our electricity now coming from renewables.
That huge achievement is thanks to the government's Contracts for Difference scheme. · We are the EMR Settlement Services Provider.
Contracts for Difference - GOV.UK
We deliver settlement for the Contract for Difference (CfD) and the Capacity Market (CM). We have been appointed by BEIS, and are acting on behalf of the Low Carbon Contracts Company (the CfD Counterparty) and the Electricity Settlements Company (the CM Settlement Body).
CfDs support emergent technologies by shielding electricity suppliers from wholesale price volatility. The Low Carbon Contracts Company guarantees a 'strike price' with a generator, topping up payments when the wholesale price is below this amount and, vice versa, receiving the difference.
During the contract period, projects are paid the difference between a reference wholesale price of electricity and their strike price.
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If this strike price is higher than the reference price, projects receive a subsidy to make up the difference, with the cost added to consumer bills. This article investigates the factors affecting the revenue of the plant when paying through the electricity market and contract for the difference such as the affection of power, contract.
Contracts for Difference: How Does It Work & Why Do We ...
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1-3 years of professional experience in an analytical field related to health service analytics, predictive modeling in health care, or other health care-related experience.
Strong technical abilities with advanced data and analytics tools and programming languages, including Python or R, and at least one database language such as SQL or Mongodb.
Foundational understanding of core concepts in applying machine learning algorithms: data cleaning, feature selection, and parameter tuning.
Strong communication skills, including both communicating with other stakeholders to fully evaluate project requirements and context, as well as communicating project results, findings, and applicability.
Ability to work independently with little technical guidance day-to-day, in a fast-paced environment.
Proficiency in most areas of mathematical analysis methods, statistical analyses, predictive modeling, and/or machine learning (such as neural networks, random forests, gradient boosting, etc), and in-depth specialization in some areas.
Working knowledge of analyzing administrative medical claims, pharmacy claims, and/or EMR data and clinical data.
Proficiency with git or other version-control software, especially in collaboration with others.
Proficiency working at the command line / shell.
Experience in reporting and visualization tools such as R's ggplot, Python's bokeh, Tableau, MSTR, or geo-mapping tools.
Experience building and/or using APIs.


Mansukh is our Customer Service Manager and has been with The Final Step since May 2005. He studied Computer Aided Engineering at Liverpool John Moores University and qualified in 1995, having already worked in technical support for a major chemical company. Mansukh earned his Microsoft Certified Systems Engineer status in 1999 and also holds Dell, Toshiba and Compaq service accreditations. He also has considerable experience in administrating and supporting network infrastructures.
If you have a customer service issue you would like to raise please contact Mansukh using mansukh.vekaria@thefinalstep.co.uk.
I love spending time at the weekend with my family – playing various games with my son Kiran and desperately trying not to lose, which is getting harder by the day! We also like watching football – he's a Liverpool supporter too, but then he didn't get much choice. We both love commentating and scrutinising throughout the game, and often disagree – which is much more interesting than the commentators on TV. The language is often a lot stronger too, particularly if Manchester United are playing!
I hate watching Liverpool lose, or Manchester United win! Both of which seem to happen quite a bit lately. I also get really annoyed when I'm unable to fix an IT problem, which happily isn't that often . . . In fact I like trying to show Kiran that Dad doesn't just simply reboot PCs for a living – but I'm not doing too well with this at the moment!
Passing six Microsoft Exams in a period of two and a half months to achieve my MCSE for the first time – and I'm the only guy I know in IT who has a Grade A Physics A-Level! I'm also proud to have recently successfully managed a complete home renovation project, which involved us all vacating the property for seven months, whilst my wife and I were both working and Kiran was at school.


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DAVID BERLEY
FOUNDING PATRON
A leading New York city real estate investor with five decades of experience acquiring, managing, converting, and developing commercial and residential real estate in Manhattan, Walter & Samuels Inc. chairman, David I. Berley, has earned a storied reputation for his inventive deal-making and ability to create
Born in brooklyn, where he attended Midwood high school, Berley started his real estate career working at Berley & Co., where he syndicated his first deal at the age of 23. In 1968 Berley joined Walter & Samuels; He then
bought the company from its senior partners in 1973. As the owner and leader of Walter & Samuels for the last four decades, Berley has done hundreds of deals, whether buying a building himself or working with institutional partners
such as Ceneral Electric Capital Corporation or a Deutsche Bank Reef, Berley brings vast experience, sound judgment, and stunning creativity. Berley has been a pioneer in transforming commercial neighborhoods and converting pre-war residential buildings as well as commercial buildings.
When he moved Walter & Samuels from 342 Madison avenue to 419 park avenue south in the 1970s, Berley led the way in making Midtown south a choice destination for quality office space. Berley has always pushed the real estate envelope in the area of residential conversions. His first conversion was a co-op, 1155 park in 1978. But in the early 1980s, Berley saw the advantage
of doing condominium conversions when everyone else was doing co-ops. Berley has done 30 condo conversions over the last 30 years, most recently 15 Madison square north, a conversion of 20-story pre-war office building into 12 floors of luxury residential apartments above an elegant commercial building.
With a legendary feel for buildings and a mind for numbers, Berley has gained wide respect across the New York real estate community throughout his career. Former chairman of the Young Men's/Women's Real Estate Association of New York, and former chairman of the board of governors of its New York chapter, Berley is the only person to receive both the young Man of the year award (1977) and the young real estate senior Man of the year award (1990). During the last three years, Berley has done $1 billion in deals.


Once again, Soccer Camp 2017 was a huge success. One of our favourite things about camp is how many people have become involved in the process. It is no longer about one single organization getting the credit for putting on a great camp experience. It is about a collective group of us using sports as a platform to give God the glory and tells kids about Jesus. And we are so grateful to each one of our partners!
Athletes In Action camps provide athletes with opportunities to develop their skills and fundamentals, learning from elite college/university players and coaches. Tanya, Charity, Ben and Dan were an amazing team. Teaching the kids essential soccer skills and sharing their testimonies in coaches corner make them integral to camp.
The Creek Community Church is a church partner who has been with us from the beginning. For 10 years, The Creek has supported this week of camp financially and puts together all of our lunches everyday for each of our campers. Our tummies thank you!
This year we had the great opportunity to partner with Onside Athletics who provided us with 9 amazing summer coaches to help fill out our coaching team. These amazing coaches gave selflessly of themselves to the campers and the campers loved them!
A camp without the kids just wouldn't be camp. Thanks to CityKidz and their Summer to Remember program, provide us with kids who deserve a great camp experience and might not otherwise get it. They also provide them with transportation to and from camp everyday.
The last day of camp is always an extra special day thanks to Kim at Little Caesars in Stoney Creek who provides us with FREE pizzas and drinks for all of the kids (and coaches) at camp!
Redeemer University College is where our camp takes place. Their amazing facility provides these kids with an excellent camp experience that they may never otherwise experience.
Reach Forth but mainly our Summer Intern Chris Loma who ensures that everything runs smoothly. Making contact with all the moving parts and ensuring everyone knows what they are doing and running the day to day things at camp.


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Published on June 10th, 2020 | by Andrew Bistak
Stellaris: Console Edition Now Available In Selected Stores!
Koch Media and Paradox Interactive today announced that Stellaris: Console Edition is now available at selected retail stores across Australia and New Zealand.
An adaption of Stellaris, the popular sci-fi grand strategy game, Stellaris: Console Edition features a sleek redesigned user interface created to provide an authentic grand strategy experience for the first time on PlayStation®4 and the Xbox One family of devices including the Xbox One X.
The launch trailer gives you an idea of the endless possibilities that await in Stellaris: Console Edition; https://www.youtube.com/watch?v=16bUuKXfxdc
The Stellaris: Console Edition retail version will include the following content:
Featuring the same deep strategic gameplay as Paradox's original Stellaris, with rich and diverse alien races and emergent storytelling, Stellaris: Console Edition puts the complexity of the galaxy at your thumbsticks. Whether you're exploring the unknown, discovering the mysteries of the universe, or conquering it for the glory of your empire, console players have more inter-galactic strategy awaiting them than ever before.
Stellaris: Console Edition lets players:
Behold the enormity of space with procedurally generated galaxies and an untold number of planets to explore.
Encounter a myriad of wild, quirky, and dangerous alien races who may prove to be crucial trade partners or conquering forces hellbent on enslaving your civilization.
Take on strategic space warfare and resource management to ensure the survival and advancement of your empire.
Explore scientific anomalies and uncover technological wonders throughout the galaxy to utilize them toward your own gains.
Govern your own fledgling empire and secure your power and agenda through manipulating internal policies, factions, traditions and more.
Adapted for console with a streamlined control scheme and UI for a true grand strategy experience.
For more information about Stellaris: Console Edition, visit: www.stellaris.com
Andrew Bistak When he's not trying to save the world, Andrew enjoys travel (although loathes turbulence), going to the movies, reading and being a dad to his two dogs (and now twins) with his wife.


▶ SoldThis listing was sold on May 23, 2018 for the price shown here.
Price Reduced - easy to show & sell! 2 Story home with 4 bedrooms, 2.5 bath, 2 car garage - Living room w/crown molding, sep dining, spacious family room w/woodburning fireplace & brick surround. Kitchen has granite tiled tops, light cabinets, new appliances (9/2017) that walks out to 12x10 new deck (9/2017) that overlooks private backyard & backs to trees. Large master suite has sitting room - updated bathroom w/ tiled shower, floors and huge walk in closet. UL Hall bath is also updated with tile and cabinet. Walk out lower level is unfinished but has plenty of room for to finish to you liking. Home also includes: tiled foyer,6 panel wood doors, exposed treads on stairs, oversized garage, new roof 2017,new paint (9/2017), new appliances (9/2017), new flooring in living room/great room/dining room (9/2017), some updated lighting. Parkway Central High School District. Optional Bridle Creek pool membership -across the street - $200/year. MINUTES FROM 40/SHOPPING/DINING/ENTERTAINMENT!
Schoettler to Highcroft. Or Chesterfield Parkway West to Highcroft.