指数分布2/3(G)表决系统产品的统计分析  

Statistical Analysis for 2/3(G) System with Exponential Distribution

作　　者：顾蓓青[1] 凌晨[2] 王蓉华[3] 徐晓岭[1] 

机构地区：[1]上海对外贸易学院商务信息学院,上海201620 [2]上海交通大学数学系,上海200240 [3]上海师范大学数理学院,上海200234

出　　处：《数学理论与应用》2010年第3期73-77,共5页Mathematical Theory and Applications

基　　金：上海市教委科研创新重点项目(B-5902-07-004);上海师范大学校科研项目(SK200811);上海师范大学第五期重点学科(DZL805);上海市重点学科(S30405);上海市科委科技项目(075105118);科学计算上海高校重点实验室;2009年上海市教委概率论与数理统计重点课程;上海高校选拔培养优秀青年教师科研专项基金资助

摘　　要：针对指数分布2/3(G)表决系统产品,本文给出了系统的寿命分布及数字特征,并在全样本场合下给出了参数的矩估计、极大似然估计和逆矩估计,通过大量Monte-Carlo模拟比较了三种点估计的精度。此外,还给出了求参数区间估计的两种方法,并通过大量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。For 2/3 （G） system with the exponential distribution, the lifetime distribution and numeral features of the system are proposed. For the system with full sample size, the moment estimate, maximum likelihood estimate and inverse moment estimate of the parameter are obtained and the preelsions of these estimates are compared by a great number of Monte - Carlo simulations. Furthermore, the precise interval estimate and approximate interval estimate of the parameter are presented and also compared by a large number of Monte - Carlo simulations. It can be concluded that precise interval estimate is better than approximate interval estimates.

关 键 词：矩估计 极大似然估计 逆矩估计 精确区间估计 近似区间估计 

分 类 号：O212.1[理学—概率论与数理统计]