论文检索

具有边际比例风险的重复事件模型AI 解读

Semiparametric methods were proposed by Wei et al. (1989) to analyse recurring event-time data. They modelled the marginal distribution of each event time with a Cox proportional hazards model without imposing any constraint on the joint distribution of different event times. Therefore, it is unclear whether or not event times can simultaneously satisfy their respective marginal proportional hazards assumptions, while having continuous joint distribution. Often this leads to…

摘要暂缺

信息可区分性及其在失效数据分析中的应用AI 解读

In maximum entropy (ME) modeling, the information discrepancy between two distributions is measured in terms of their entropy difference. In discrimination information statistics the information discrepancy between two distributions is measured in terms of the Kullback-Leibler function (i.e., relative entropy or cross-entropy). This article presents an equivalence between Kullback–Leibler functions and entropy differences involving an ME distribution. Based on this…

摘要暂缺

指定年龄下生存分布的“新优于旧”性质检验AI 解读

The cumulative distribution function F, of a nonnegative random variable, is said to be new better than used of specified age t0 if F¯(x+t0)≤F¯(x)F¯(t0) for all x≥0⁠, where F¯=1-FLet We propose a class of test statistics Tk, indexed by a positive integer k, for testing the null hypothesis that F belongs to A against the alternative hypothesis that F is new better than used of specified age t0 but not in A. We compare the performance of our proposed test statistics with the…

指数分布第二类删失数据的相对信息损失AI 解读

This paper uses information theory to quantify information loss in Type II censored samples drawn from an exponential distribution. Indexes of information loss for the maximum likelihood estimation and for Bayesian analysis are defined. Properties of the proposed information measures as functions of the sample size, the exponential parameter, and the parameters of the prior distribution are studied. It is shown that the relative loss of information in Type II censoring may…