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Interval censoring: identifiability and the constant-sum property

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  • Ramon Oller
  • Guadalupe Gómez
  • M. Luz Calle

Abstract

The constant-sum property given in Oller et al. (2004) for censoring models justifies the use of a simplified likelihood to obtain the nonparametric maximum likelihood estimator of the lifetime distribution. In this paper we study the relevance of the constant-sum property in the identifiability of the lifetime distribution. We show that the lifetime distribution is not identifiable outside the class of constant-sum models. We also show that the lifetime probabilities assigned to the observable intervals are identifiable inside the class of constant-sum models. We illustrate all these notions with several examples. Copyright 2007, Oxford University Press.

Suggested Citation

  • Ramon Oller & Guadalupe Gómez & M. Luz Calle, 2007. "Interval censoring: identifiability and the constant-sum property," Biometrika, Biometrika Trust, vol. 94(1), pages 61-70.
    • Handle: RePEc:oup:biomet:v:94:y:2007:i:1:p:61-70
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    File URL: http://hdl.handle.net/10.1093/biomet/asm002
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    Cited by:

    1. Liu, Xiaoyu & Xiang, Liming, 2021. "Generalized accelerated hazards mixture cure models with interval-censored data," Computational Statistics & Data Analysis, Elsevier, vol. 161(C).

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