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Minimax Estimator of a Lower Bounded Parameter of a Discrete Distribution under a Squared Log Error Loss Function | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 9، دوره 23، شماره 1، خرداد 2012، صفحه 77-84 اصل مقاله (357.41 K) | ||
نویسنده | ||
N. Nematollahi | ||
Allameh Tabataba'i University | ||
چکیده | ||
The 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. | ||
کلیدواژهها | ||
Bayes estimator؛ Squared log error loss function؛ Bounded parameter space؛ Discrete distribution؛ Minimax estimation | ||
عنوان مقاله [English] | ||
Minimax Estimator of a Lower Bounded Parameter of a Discrete Distribution under a Squared Log Error Loss Function | ||
نویسندگان [English] | ||
N. Nematollahi | ||
چکیده [English] | ||
The 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. | ||
آمار تعداد مشاهده مقاله: 1,745 تعداد دریافت فایل اصل مقاله: 1,897 |