基于自适应逐步Ⅱ型混合截尾试验Burr-Ⅻ分布的统计分析

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.

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

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.