序贯k-out-of-n系统在序约束下参数的假设检验  

Hypothesis Tests of Parameters for Sequential k-out-of-n Systems under Order Restriction

作　　者：杜宇静[1] 姜丽萍[1] 

机构地区：[1]吉林农业科技学院文理学院,吉林吉林132101

出　　处：《吉林大学学报（理学版）》2016年第3期487-492,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11471068);吉林农业科技学院种子基金(批准号:2014Z09)

摘　　要：考虑带有协变量的序贯k-out-of-n模型,假设给定协变量寿命的分布是指数分布族,对指数分布的刻度参数建立对数线性模型,研究在序约束下模型参数的两个假设检验问题,并讨论在序约束下检验统计量的渐近分布为χ^2分布.We considered a sequential k-out-of-n model with covariates,assumed that the lifetime distribution of given covariates belonged to exponential distribution family,and set up a log-linear model for the scale parameter of the exponential distribution.We studied two hypothesis testing problems of model parameters under order restriction,and discussed asymptotic distributions of the test statistic under order restrictions,which were χ~2 distributions.

关 键 词：序贯k-out-of-n系统 简单序约束 假设检验 χ2分布 

分 类 号：O212.1[理学—概率论与数理统计]