University of TehranJournal of Sciences, Islamic Republic of Iran1016-110423120120301Minimax Estimator of a Lower Bounded Parameter of a Discrete Distribution under a Squared
Log Error Loss FunctionMinimax Estimator of a Lower Bounded Parameter of a Discrete Distribution under a Squared
Log Error Loss Function778424572ENN. NematollahiAllameh Tabataba'i
UniversityJournal Article19700101The problem of estimating the parameter ?, when it is restricted to an interval of the form , in a class of discrete distributions, including Binomial Negative Binomial discrete Weibull and etc., is considered. We give necessary and sufficient conditions for which the Bayes estimator of with respect to a two points boundary supported prior is minimax under squared log error loss function. For some of the distributions in this class, we give numerical values of the smallest values of for which the corresponding Bayes estimator of is minimax.https://jsciences.ut.ac.ir/article_24572_27535046c03a4ad4bdb9b3ed20f18ee1.pdf