【摘要】 对负二项分布,给出可靠度在熵损失函数下的Bayes估计,在此基础上给出当先验分布为幂分布时,可靠度的E-Bayes估计和多层Bayes估计,并设计了相应的数值实验,实验结果表明负二项分布可靠度的E-Bayes估计较多层Bayes估计稳健性更好,计算更简单,便于实际应用.更多还原

【Abstract】 In this paper,for negative Binomial distribution,the Bayesian estimation of reliability under entropy loss function is given,and on the base,the E-Bayesian estimation and hierarchical Bayesian estimation of θ are given when the prior distribution of θ is power distribution.Finally,the numerical results shows that the E-Bayesian estimation of θ is more robust and easier to calculate than its hierarchical Bayesian estimation,that is,the E-Bayesian estimation of θ is easier to operate.更多还原