逐步首失效样本下Burr Ⅻ分布参数的Bayes估计

Bayes estimation of Burr Ⅻ distribution parameter under progressively first-failure-censored data

基于逐步增加首失效截尾试验.研究BurrXII分布的参数及可靠性指标的Bayes估计问题.在均方损失和Linex损失下,获得了未知参数θ及可靠性指标的Bayes估计的表达式.并且利用生存函数的期望来估计超参数,最后运用随机模拟方法对各个估计进行了比较.

Based on the progressively first-failure-censored lifetime testing,the Bayes estimator of unknown parameter and reliability performances is studied.The unknown parameterθand reliability performances have been obtained under square and Linex loss functions,and the estimation of hyperparameter is given by the expectation of survival function.Finally,we compare the estimations by means of Monte Carlo simulation.