序贯k-out-of-n系统在序约束下参数的假设检验

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.

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

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 χ² distributions.