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两个总体比例风险假设的检验AI 解读

The assumption of proportional hazards in different populations leads to elegant analysis of survival data as initiated by Cox (1972). However, this model is not appropriate in all situations. In recent literature there have been several instances of crossing hazards, which may be modelled by an increasing hazard ratio. We present a U-statistic test for checking constancy of the hazard ratio against this alternative. The test is suitable for censored data and is found to…

两总体比例风险假设的检验AI 解读

The assumption of proportional hazards in different populations leads to elegant analysis of survival data as initiated by Cox (1972). However, this model is not appropriate in all situations. In recent literature there have been several instances of crossing hazards, which may be modelled by an increasing hazard ratio. We present a U-statistic test for checking constancy of the hazard ratio against this alternative. The test is suitable for censored data and is found to…

基于相干系统累积发生函数的两样本检验AI 解读

Suppose that n1 and n2 independent copies of a coherent system composed of m components operate in two different environments. All copies are monitored until their failure. The data consist of the lifetimes of all the components which fail before the system and the time to failure of the system which also is the censoring time for the components not yet failed. In this paper we propose a class of tests based on the incidence functions of the component failures obtained from…

基于相干系统累积发生函数的两样本检验AI 解读

Suppose that n1 and n2 independent copies of a coherent system composed of m components operate in two different environments. All copies are monitored until their failure. The data consist of the lifetimes of all the components which fail before the system and the time to failure of the system which also is the censoring time for the components not yet failed. In this paper we propose a class of tests based on the incidence functions of the component failures obtained from…

针对平均失效率递增备择的一类指数分布检验AI 解读

A class of tests is proposed for testing exponentiality against the increasing failure rate average class of nonexponential probability distributions. Some of these tests are consistent as well for the larger class, new better than used. Compared to its competitors these statistics are remarkably simple. They are U-statistics and hence asymptotically normally distributed. The asymptotic relative efficiency with respect to the Hollander-Proschan statistic and the cumulative…