Bayes Statistical Inference Of The Kumaraswamy Distribution

Through a lot of practice proved that the Kumaraswamy distribution plays an important role in the study of life test and reliability.More and more scholars began to study related issues.This paper based on previous research is mainly to study the distribution of Kumaraswamy Bayes statistical inference problem.The first chapter mainly introduced the distribution and Kumaraswamy of according to the background and the research status quo,as well as the basic concept of bilateral destiny truncation and Kumaraswamy distribution.The second chapter,Considering the type-? doubly censored scheme samples,parameters of maximum likelihood estimation is given,the available Newton-Raphson iteration method to find the approximate solution,Bayes estimation,hierarchical Bayes estimation and E-Bayes estimation for Kumaraswamy distribution parameter were given under composite Linex loss function and q-Symmetric entropy loss function.At last,the results of different truncated sample data,through analysis of numerical simulation examplesThe third chapter,considering the empirical Bayes two-side test problem for Kumaraswamy distribution.By using the method of kernel estimation for its probability density function and its derivative function,the empirical Bayesian test was constructed and the asymptotic optimality and convergence rates of the empirical Bayesian test was proved.