Weibull分布CE模型序进试验下逐次截尾的统计分析——应力为时间的一般线性关系  

Statistical analysis of weibull distribution progressively censored for cumulative exposure model under a progressive stress with a linear relation between the stress and time

作　　者：阮丽华[1] 王蓉华[2] 徐晓岭[3] 

机构地区：[1]广东食品药品职业学院,广州510520 [2]上海师范大学数理学院,上海200234 [3]上海对外贸易学院商务信息学院,上海201620

出　　处：《上海师范大学学报（自然科学版）》2012年第1期39-49,共11页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金(11141002;11141002;11071168);上海市重点学科(S30405);上海高校重点实验室;上海市星系与宇宙学半解析研究重点实验室(SKLA1101)项目

摘　　要：针对累积损伤模型,在序进应力下给出了逐次截尾试验下两参数Weibull分布在阿伦尼斯方程下和逆幂律方程下的极大似然估计.通过Monte-Carlo模拟考察了参数估计的精度,结果表明随着样本的增大,估计的精度逐渐提高.同时,在总样本量相同的条件下,截尾样本个数较小时,估计的精度有所提高.The maximum likelihood estimation of the two-parameter Weibull distribution is derived based on progressively cen- sored data for cumulative exposure model under a progressive-stress. The accuracy of the parameter estimate is tested, and by Monte-Carlo simulation the results show that the accuracy of the estimate is improved with larger sample numbers. Meanwhile, with the same sample number,the results are more accurate with lesser censored samples.

关 键 词：WEIBULL分布 累积损伤模型 逐次截尾 极大似然估计 

分 类 号：P426.4[天文地球—大气科学及气象学]