Lifetime Data Analysis

, Volume 3, Issue 4, pp 305–313 | Cite as

Self-Consistency Estimation of Distributions Based on Truncated and Doubly Censored Survival Data with Applications to AIDS Cohort Studies

  • Jianguo Sun


Gomez and Lagakos (1994) propose a nonparametric method for estimating the distribution of a survival time when the origin and end points defining the survival time suffer interval-censoring and right-censoring, respectively. In some situations, the end point also suffers interval-censoring as well as truncation. In this paper, we consider this general situation and propose a two-step estimation procedure for the estimation of the distribution of a survival time based on doubly interval-censored and truncated data. The proposed method generalizes the methods proposed by DeGruttola and Lagakos (1989) and Sun (1995) and is more efficient than that given in Gomez and Lagakos (1994). The approach is based on self-consistency equations. The method is illustrated by an analysis of an AIDS cohort study.

AIDS cohort studies AIDS incubation distribution Distribution of HIV infection time Self-consistency equations 


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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Jianguo Sun
    • 1
  1. 1.Department of StatisticsUniversity of MissouriColumbia

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