You are presented with multiple paper abstracts, alongside the associated literature review and chapter titles. Given the provided information, you are going to do a literature review. Please generate a coherent literature review that synthesizes the content, draws connections between different works, highlights major findings, and identifies any gaps in the existing research.

Literature Review Title: Statistical Model Checking : An Overview 
Chapter Title:  Discussion. 
1. Abstract of Cited Paper (BIB001):  Asynchronous stochastic systems are abundant in the real world. Examples include queuing systems, telephone exchanges, and computer networks. Yet, little attention has been given to such systems in the model checking and planning literature, at least not without making limiting and often unrealistic assumptions regarding the dynamics of the systems. The most common assumption is that of history-independence: the Markov assumption. In this thesis, we consider the problems of verification and planning for stochastic processes with asynchronous events, without relying on the Markov assumption. We establish the foundation for statistical probabilistic model checking, an approach to probabilistic model checking based on hypothesis testing and simulation. We demonstrate that this approach is competitive with state-of-the-art numerical solution methods for probabilistic model checking. While the verification result can be guaranteed only with some probability of error, we can set this error bound arbitrarily low (at the cost of efficiency). Our contribution in planning consists of a formalism, the generalized semi-Markov decision process (GSMDP), for planning with asynchronous stochastic events. We consider both goal directed and decision theoretic planning. In the former case, we rely on statistical model checking to verify plans, and use the simulation traces to guide plan repair. In the latter case, we present the use of phase-type distributions to approximate a GSMDP with a continuous-time MDP, which can then be solved using existing techniques. We demonstrate that the introduction of phases permits us to take history into account when making action choices, and this can result in policies of higher quality than we would get if we ignored history dependence.

Literature Review:
Computing ideal values A id and B id for A and B in order to make sure that we are working with a test of strength (α, β) is a laborious procedure (see Section 3.4 of BIB001 ). In his seminal paper BIB001 , Wald showed that if one defines In practice, we often find that both inequalities hold. This is illustrated with the following example taken from BIB002 . , then we are guaranteed that α ′ ≤0.222 and β ′ ≤0.125. Through computer simulation (repruding the same experiments 10000 of time), we observe that α ′ ≤0.175 and β ′ ≤0.082. So the strength of the test is in reality better than the theoretical assumption.