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Proportional hazards regression under progressive Type-II censoring

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Abstract

This paper proposes an inferential method for the semiparametric proportional hazards model for progressively Type-II censored data. We establish martingale properties of counting processes based on progressively Type-II censored data that allow to derive the asymptotic behavior of estimators of the regression parameter, the conditional cumulative hazard rate functions, and the conditional reliability functions. A Monte Carlo study and an example are provided to illustrate the behavior of our estimators and to compare progressive Type-II censoring sampling plans with classical Type-II right censoring sampling plan.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées de Compiègne, Université de Technologie de Compiègne, B.P. 20529, 60205, Compiègne Cedex, France

    Sergio Alvarez-Andrade

  2. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, ON, L8S 4K1, Canada

    N. Balakrishnan

  3. Laboratoire de Mathématiques et Applications, UMR CNRS 5142, Université de Pau et des Pays de l’Adour, Avenue de l’Université, B.P. 1155, 64013, Pau Cedex, France

    Laurent Bordes

Authors
  1. Sergio Alvarez-Andrade
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  2. N. Balakrishnan
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  3. Laurent Bordes
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Correspondence to Laurent Bordes.

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Alvarez-Andrade, S., Balakrishnan, N. & Bordes, L. Proportional hazards regression under progressive Type-II censoring. Ann Inst Stat Math 61, 887–903 (2009). https://doi.org/10.1007/s10463-008-0170-8

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  • DOI: https://doi.org/10.1007/s10463-008-0170-8

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