A general semiparametric model for left-truncated and right-censored data

Abstract

In many follow-up studies, survival data are often observed according to a cross-sectional sampling scheme. Data of this type are subject to left truncation and right censoring. In many practical cases, two types of censoring may occur. The first type (type A) is due to termination of the follow-up period. The second type (type B) is a consequence of other types of failure which might occur before the cross-section time. Let T*, V*, and denote the lifetime, left truncation, type A and type B censoring variables, respectively. Assume that T*, and are independent of one another but V* and are dependent with . Let F, G and Q denote the common distribution functions of T*, V* and , respectively. Let . For left-truncated and right-censored (LTRC) data, one can observe nothing if Z*