期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2007
卷号：69
期号：03
出版社：Indian Statistical Institute
摘要：In survival or reliability studies, it is common to have truncated data due to the limited time span of the study or dropouts of the subjects for various reasons. The estimation of survivor function under left truncation was first discussed by Kaplan and Meier by extending the well known productlimit estimator of the survivor function. The focus of this paper is on the nonparametric estimation of the survivor function and the cause-specific subdistribution functions in bivariate competing risks set up, when the observations are subject to random left truncation and right censoring. Various asymptotic properties of the estimators are discussed. A simulation study discussing the empirical behaviour of the estimator is carried out. We illustrate the procedure by a data set.
关键词：Bivariate survivor function, cause specific distribution functions, vector hazard rate, competing risks models, random truncation.
