Bayesian Rule of Multiple Hypothesis testing: Past and Present

Abstract

The era of emerging mathematical techniques towards Hypothesis Testing is between 1908 to 2003. History of hypothesis testing is based on some distinct scientists which are discussed in this article. Several of works are there from different decades and from different authors, some of them have been considered briefly. Also works considered on two main different approaches and their comparison. The generalized concepts using different approaches towards hypothesis testing is discussed and compared with each other. Most impotent consideration in this article is the Bayesian decision theoretic approach and its generalization in the work of K. J. Kachiashvilli (2003). This work can be considered as a description of the problem related to the problems of multiple hypothesis testing and decision theory. To evaluate efficacy in multiple endpoints in confirmatory clinical trials is a challenging problem in multiple hypotheses testing which can be solved using this approach.