基于自适应逐步Ⅱ型混合截尾试验Burr-Ⅻ分布的统计分析

Statistical analysis of Burr-Ⅻ distribution under adaptive Type-Ⅱ progressively hybrid censored scheme

本文分别基于自适应逐步Ⅱ型混合截尾试验和逐步Ⅱ型混合截尾试验,结合部分步进应力加速寿命试验,使用经典统计理论和Bayes理论讨论了Burr-Ⅻ分布下的统计分析问题.给出了Burr-Ⅻ分布在不同截尾试验下的极大似然估计和Bayes估计.利用Monte-Carlo模拟对自适应逐步Ⅱ型混合截尾试验和逐步Ⅱ型混合截尾试验下的参数估计进行模拟比较.结果表明,自适应逐步Ⅱ型混合截尾试验下的均方误差更小,区间长度更短,相对误差更小,所以自适应逐步Ⅱ型混合截尾试验更优越.

Based on the adaptive Type-Ⅱ progressive hybrid censoring scheme and Type-Ⅱ progressive hybrid censoring scheme,introduced step-stress partially-accelerated life test,the statistical analysis of the Burr-XII distribution are studied by using by using classical statistical theory and Bayes theory.Firstly,the maximum likelihood estimation and Bayesian estimation of Burr-XII distribution based on different censoring experiments are studied by using the maximum likelihood method and Bayes theory.Then the Monte-Carlo simulation method is used to compare and analyze the parameter estimation simulation results of the adaptive Type-Ⅱ progressive hybrid censoring scheme and Type-Ⅱ progressive hybrid censoring scheme.Finally,the results prove that under the adaptive Type-Ⅱ progressive hybrid censoring scheme,the mean square error is smaller,the interval length is shorter,the maximum likelihood estimation,Bayesian estimation and relative error are smaller.So the adaptive Type-Ⅱ progressive hybrid censoring is more superior.