指数分布冷贮备单元的串联系统产品的统计分析  

Statistical analysis of cold reserve series system for exponential distribution

作　　者：方敏洁[1] 王蓉华[1] 顾蓓青[2] 徐晓岭[2] 

机构地区：[1]上海师范大学数理学院,上海200234 [2]上海对外贸易学院商务信息学院,上海201600

出　　处：《上海师范大学学报（自然科学版）》2010年第4期359-364,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：上海市教委科研创新重点项目(B-5902-07-004),上海市教委基金(06MS009、CL200517);上海师范大学校科研项目(SK200811);上海市重点学科(T0401);国家自然科学基金(10571057);上海市科委科技项目(075105118);科学计算上海高校重点实验室;2007年度市教委重点课程(5Z1206);2009年度上海对外贸易学院统计学专业建设(5Z1501),2009年度上海对外贸易学院统计学学科建设资助

摘　　要：考虑寿命服从指数分布的冷贮备单元串联而成的系统,给出了参数的矩估计、极大似然估计和逆矩估计,并通过大量Monte-Carlo模拟考察估计的精度,得到矩估计和极大似然估计优于逆矩估计.同时,还给出了参数的精确区间估计和近似区间估计,通过大量Monte-Carlo模拟考察了区间估计的精度,得到参数的精确区间估计优于近似区间估计.Based on the series system in which the life of each cold reserve unit conforms to the exponential distribution,the moment estimate,maximum likelihood estimate and inverse moment estimate of the parameter are given.In order to compare the precision of the estimate,a large amount of Monte-Carlo simulations are performed and it can be concluded that the moment estimate and maximum likelihood estimate are better than the inverse moment estimate.In addition,the precise interval estimate and approximate interval estimate of the parameter are derived and the precisions of both interval estimates are compared by Monte-Carlo simulations.It can be concluded that the precise interval estimate is better than the approximate interval estimate.

关 键 词：指数分布 冷贮备 串联系统 矩估计 极大似然估计 逆矩估计 区间估计 

分 类 号：P426.4[天文地球—大气科学及气象学]