基于逐步增加Ⅱ型截尾样本,分别在均方损失和Linex损失下,利用ML-Ⅱ方法研究了比例危险率模型的参数和可靠性指标的经验Bayes估计问题。为了研究估计结果的精确性,分析了一个实际应用例子,并利用Monte-Carlo方法给出一个数值模拟例子,结果表明在非对称Linex损失下,经验Bayes估计更具灵活性,且结果更加有效。
Based on progressively Type-Ⅱcensored samples,the empirical Bayes estimators of the unkown parameter and reliability performances have been discussed for the proportional hazard rate model, under squared error loss and linear-exponential(Linex) loss respectively.In order to investigate the accuracy of estimatiors,a practical application example are illustrated,and an illustrative numerical example with a detail lifetime distribution is presented by means of Monte-Carlo simulation.The conlusion shows that the empirical Bayes estimatiors are more flexible under asymmetric Linex loss and the results are more effective.