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截断数据的积矩相关系数与线性回归AI 解读

The random truncation model has been considered extensively in the literature. Tsai has noted that many previous results hold under the weaker assumption of quasi-independence between the failure time and the truncation time in the observable region of truncated data. We generalize the Pearson product-moment correlation coefficient to measure the association between both time variables in the observable region. We show that if the failure time and the truncation time follow…

结合逻辑回归与比例风险回归的混合模型AI 解读

A model is proposed for the analysis of censored data which combines a logistic formulation for the probability of occurrence of an event with a proportional hazards specification for the time of occurrence of the event. The proposed model is a semiparametric generalization of a parametric model due to Farewell (1982). Estimates of the regression parameters are obtained by maximizing a Monte Carlo approximation of a marginal likelihood and the EM algorithm is used to…

随机删失数据的相关型拟合优度检验AI 解读

For testing a composite goodness-of-fit hypothesis with randomly censored data, a correlation statistic which is an analogue of the Shapiro-Francia statistic is presented. The test for exponentiality, in case of light censoring, is asymptotically robust against departures from the Koziol-Green model of random censorship. The power of the test is compared with the total-time-on-test procedure and the new-better-than-used test using Monte Carlo simulation. As an example, the…

随机删失数据的相关型拟合优度检验AI 解读

For testing a composite goodness-of-fit hypothesis with randomly censored data, a correlation statistic which is an analogue of the Shapiro-Francia statistic is presented. The test for exponentiality, in case of light censoring, is asymptotically robust against departures from the Koziol-Green model of random censorship. The power of the test is compared with the total-time-on-test procedure and the new-better-than-used test using Monte Carlo simulation. As an example, the…