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On Consistency of the Self‐Consistent Estimator of Survival Functions with Interval‐Censored Data

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  • Qiqing Yu
  • Linxiong Li
  • George Y. C. Wong

Abstract

The self‐consistent estimator is commonly used for estimating a survival function with interval‐censored data. Recent studies on interval censoring have focused on case 2 interval censoring, which does not involve exact observations, and double censoring, which involves only exact, right‐censored or left‐censored observations. In this paper, we consider an interval censoring scheme that involves exact, left‐censored, right‐censored and strictly interval‐censored observations. Under this censoring scheme, we prove that the self‐consistent estimator is strongly consistent under certain regularity conditions.

Suggested Citation

  • Qiqing Yu & Linxiong Li & George Y. C. Wong, 2000. "On Consistency of the Self‐Consistent Estimator of Survival Functions with Interval‐Censored Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(1), pages 35-44, March.
    • Handle: RePEc:bla:scjsta:v:27:y:2000:i:1:p:35-44
    DOI: 10.1111/1467-9469.00176
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    Cited by:

    1. Guadalupe Gómez & M. Calle & Ramon Oller, 2004. "Frequentist and Bayesian approaches for interval-censored data," Statistical Papers, Springer, vol. 45(2), pages 139-173, April.
    2. Fang, Hong-Bin & Sun, Jianguo, 2001. "Consistency of nonparametric maximum likelihood estimation of a distribution function based on doubly interval-censored failure time data," Statistics & Probability Letters, Elsevier, vol. 55(3), pages 311-318, December.

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