Bayes Estimation Of The Scale Parameter For Loggamma Distribution Under Different Loss Functions

On the basis of LINEX asymmetric loss function,the compound LINEX symmetric loss function and the modified squared error loss function,we study the Bayes estimation,E-Bayes estimation and Multi-layer Bayes estimation of Logarithm gamma distribution parameter.There are four chapters in this thesis.In first chapter,the background and research significance of Bayes estimation of scale parameter for log-gamma distribution under different loss function are introduced.In second chapter,the elementary knowledge of Bayes estimation are given.In third chapter,based on a large amount of precise datas,under three kinds of loss functions,we give the Bayes estimation,E-Bayes estimation and Multi-layer Bayes estimation of scale parameter for log-gamma.Finally,through random numerical simulation,their robustness and precision are compared.In fourth chapter,based on fuzzy data,under three kinds of loss functions,we give the Bayes interval estimation and E-Bayes interval estimation of scale parameter for log-gamma distribution.Finally,through random numerical,their interval width are compared.