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

被引:25
作者
Sun J. [1 ]
机构
[1] Department of Statistics, University of Missouri, Columbia
关键词
AIDS cohort studies; AIDS incubation distribution; Distribution of HIV infection time; Self-consistency equations;
D O I
10.1023/A:1009609227969
中图分类号
学科分类号
摘要
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.
引用
收藏
页码:305 / 313
页数:8
相关论文
共 9 条
  • [1] DeGruttola V., Lagakos S.W., Analysis of doubly-censored survival data, with application to AIDS, Biometrics, 45, pp. 1-12, (1989)
  • [2] Frydman H., Semiparametric estimation in a three-state duration-dependent Markov model from interval-censored observations with application to AIDS data, Biometrics, 51, pp. 502-511, (1995)
  • [3] Gomez G., Lagakos S.W., Estimation of the infection time and latency distribution of AIDS with doubly censored data, Biometrics, 50, pp. 204-212, (1994)
  • [4] Kalbfleisch J.D., Lawless J.F., Regression models for right truncated data, with applications to AIDS incubation times and reporting lags, Statistica Sinica, 1, pp. 19-32, (1991)
  • [5] Kim M.Y., DeGruttola V.G., Lagakos S.W., Analyzing doubly censored data with covariates, with application to AIDS, Biometrics, 49, pp. 13-22, (1993)
  • [6] Lagakos S.W., Barraj L.M., DeGruttola V., Nonparametric analysis of truncated survival data, with application to AIDS, Biometrika, 75, pp. 515-523, (1988)
  • [7] Sun J., Empirical estimation of a distribution function with truncated and doubly interval-censored data and its application to AIDS studies, Biometrics, 51, pp. 1096-1104, (1995)
  • [8] Tu X.M., Nonparametric estimation of survival distributions with censored initiating time, and censored and truncated terminating time: Application to transfusion data for acquired immune deficiency syndrome, Appl. Statist, 44, pp. 3-16, (1995)
  • [9] Turnbull B.W., The empirical distribution function with arbitrarily grouped censored and truncated data, Journal of the Royal Statistical Society, Series B, 38, pp. 290-295, (1976)