双边定数截尾下k（m）/n系统的可靠性分析

摘要

Based on Type-II doubly censored samples,the problems of reliability analysis for m-consecutive-k-out-of-n:F system of Burr-XII type components is discussed. MLE estimators,Bayesian estimators and E-Bayesian estimators for unknown parameter and reliability function are obtained and admissibility of Bayesian estimators is derived. At last,the statistical performances are compared through the MSE based on Monte Carlo simulation study. According to these comparisons,it is suggested that the E-Bayes estimations we have been derived are preferable.%在双边定数截尾样本下，研究了由Burr XII型部件组成的n中取m串连续k失效系统（简称k（m）/n系统）的可靠性分析问题。给出了未知参数和系统可靠度的极大似然估计，Bayes估计和E-Bayes估计，并证明了Bayes估计具有容许性。最后运用Monte Carlo方法对各种估计的均方误差进行了模拟比较。结果表明，E-Bayes估计的精度高。