海南师范大学学报（自然科学版）2023，Vol.36Issue(4)：361-368,8.DOI:10.12051/j.issn.1674-4942.2023.04.001
具有4个相异指数随机变量的串联系统的条件样本间隔
The Conditional Sample Spacings of Series Systems with Four Divergence Components Random Variables
摘要
Abstract
When a series system with four independent components distributed as exponential fails at some time,the con-ditional spacings are introduced.By probability and stochastic process,the survival functions,the expectation and covari-ance of conditional sample spacings are obtained.Then,the first spacing is proved to be Schur convex about the hazard rates of components lifetimes.In the end,a stochastic comparison between the second conditional spacing and the third one is investigated.The results obtained will provide theory basis for designing optimal system and life tests.关键词
条件样本间隔/串联系统/联合分布/随机序/指数分布Key words
conditional sample spacings/series systems/joint distribution/stochastic orders/exponential distributions分类
数理科学引用本文复制引用
张正成,钟新澳..具有4个相异指数随机变量的串联系统的条件样本间隔[J].海南师范大学学报（自然科学版）,2023,36(4):361-368,8.基金项目
国家自然科学基金项目(72161009) （72161009）
海南省自然科学基金项目(121QN227,122MS057) （121QN227,122MS057）
