A Bayesian Approach To Fuzzy Hypothesis Testing For Life Distribution

Statistical hypothesis testing is a very important case in statistics, the theory has been more perfect. However, it will produce many new and interesting problems if the concept of fuzzy is introduced in sample observations or hypothesis.Fuzzy hypothesis testing is the generalization of classical hypothesis testing, and it is one impor-tant case in statistical inference and statistical decision in dealing with fuzzy concepts. At first, the fuzzy conception is introduced in hypothesis, The purpose of this paper is to give the Bayesian rule to double fuzzy hypothesis testing for Эрланга distribution and Gamma distribution under the given loss function with Jeffreys prior and conjugate prior, and examples is given to illustrate this method. Secondly, multiple fuzzy hypothesis testing is studied. Lastly, the statistical simulation analysis is provided for test and verity the correctness of the theoretical method.