二项分布中未知参数估计量损失的贝叶斯估计

Global Journal of Science Frontier Research Pub Date : 2022-11-01 DOI:10.34257/gjsfrfvol22is4pg37

Randhir Singh

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摘要

本文针对二项分布的未知参数在损失函数下的损失函数和风险函数的贝叶斯估计，这与Rukhin(1988)给出的方法不同。估计涉及beta分布，这是未知参数的自然共轭先验密度函数。得到的估计量是保守偏置的，具有有限的频率风险。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Baysian Estimation of Loss of Estimators of Unknown Parameter of Binomial Distribution

This paper aims at the Bayesian estimation for the loss and risk functions of the unknown parameter of the binomial distribution under the loss function which is different from that given by Rukhin (1988). The estimation involves beta distribution, a natural conjugate prior density function for the unknown parameter. Estimators obtained are conservatively biased and have finite frequentist risk.

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Global Journal of Science Frontier Research

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