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Testing the Koziol-Green model against monotone conditional odds for censoring

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  • Kirmani, Syed N. U. A.
  • Dauxois, Jean-Yves

Abstract

A notion of conditional odds for censoring is introduced to study the pattern of censoring in randomly right censored data. This notion is used to formulate meaningful alternatives in order to test the Koziol-Green model of proportional hazards between survival and censoring times. A test criterion is proposed and the test statistic is shown to be asymptotically normally distributed. The proposed procedure is illustrated through two data sets well known in the survival analysis literature.

Suggested Citation

  • Kirmani, Syed N. U. A. & Dauxois, Jean-Yves, 2004. "Testing the Koziol-Green model against monotone conditional odds for censoring," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 327-334, February.
    • Handle: RePEc:eee:stapro:v:66:y:2004:i:3:p:327-334
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    References listed on IDEAS

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    1. Stute, Winfried, 1992. "Strong consistency under the Koziol--Green model," Statistics & Probability Letters, Elsevier, vol. 14(4), pages 313-320, July.
    2. J. Ghorai, 1991. "Estimation of a smooth quantile function under the proportional hazards model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(4), pages 747-760, December.
    3. Herbst Thomáš, 1992. "Test Of Fit With The Koziol-Green Model For Random Censorship," Statistics & Risk Modeling, De Gruyter, vol. 10(1-2), pages 163-172, February.
    4. Cheng, Philip E. & Lin, Gwo Dong, 1987. "Maximum likelihood estimation of a survival function under the koziol-green proportional hazards model," Statistics & Probability Letters, Elsevier, vol. 5(1), pages 75-80, January.
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    Cited by:

    1. Adekpedjou, Akim & Stocker, Russell & De Mel, Withanage A., 2013. "A class of inference procedures for validating the generalized Koziol–Green model with recurrent events," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 83-92.

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