# Tagged Questions

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2answers
96 views

### Chernoff Bounds for settings with limited dependence

Could someone point me to a way of bounding the tail probability of sums of bernoulli variables each generated by the same distribution but the condition of independence is only partially satisfied. ...
4answers
387 views

### Reverse Chernoff bound

Is there an reverse Chernoff bound which bounds that the tail probability is at least so much. i.e if $X_1,X_2,\ldots,X_n$ are independent binomial random variables and \$\mu=\mathbb{E}[\sum_{i=1}^n ...
1answer
193 views

### Estimator for sum of independent and identically distributed (iid) variables

This is a repost of a question at math.stackexchange, but I was told by a reliable source that people around here might be able to help me, so I thought I'd give it a shot. Consider the Chernoff ...
2answers
580 views

### An extension of Chernoff bound

I am looking for a reference (not a proof, that I can do) to the following extension of Chernoff. Let $X_1,..,X_n$ be Boolean random variables, not necessarily independent. Instead, it is guaranteed ...
2answers
296 views

### Chernoff-type inequality for random variable with 3 outcomes

Suppose we have a random variable which takes non-numeric values a,b,c and want to quantify how empirical distribution of $n$ samples of this variable deviates from true distribution. The following ...
3answers
767 views

### Chernoff-type Inequality for pair-wise independent random variables

Chernoff-type inequalities are used to show that the probability that a sum of independent random variables deviates significantly from its expected value is exponentially small in the expected value ...
1answer
355 views

### Chernoff bound for weighted sums

Consider $X = \sum_i \lambda_i Y_i^2$, where lambda_i > 0 and Y_i is distributed as a standard normal. What kind of concentration bounds can one prove on X, as a function of the (fixed) coefficients ...
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