双参数威布尔分布下可靠性抽样检验  

Reliability Sampling Inspection for Two-parameter Weibull Distribution

作　　者：吴启光[1] 李国英[1] 顾岚[2] 赵志源[1] 

机构地区：[1]中国科学院系统科学研究所,北京100080 [2]中国人民大学,北京100872

出　　处：《应用概率统计》2004年第3期270-286,共17页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金(10071090;19631040);中国科学院创新工程重大项目资助.

摘　　要：对于失效时间遵从双参数威布尔分布产品,本文分别提出了制订全样本下和定时截尾样本下可靠性抽样检验方案的统计方法.质量统计是不可靠度的矩估计的严格增加函数.选择截尾时间的方法被提出.利用分布分位数的Cornish-Fisher展开,样本量和接收常数被近似地确定.模拟结果表明,本文给出的方法是可行的.This paper proposes a statistical method of working out reliability sampling inspection plans under complete sample and Type I censored sample, respectively, for items whose failure times are distributed as two-parameter Weibull distributions. The quality statistic is a monotonous function of a method of moments estimator of the unreliability. An approach of choosing a truncation time is advanced. The sample size and acceptability constant are approximately determined by using the Cornish-Fisher expansion for quartiles od distribution. Simulation results show that the method given in this paper is feasible.

关 键 词：Ⅰ型删失 双参数威布尔分布 极值分布 可靠性抽样检验方案 

分 类 号：O213.1[理学—概率论与数理统计]