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Model checks under random censorship

Author

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  • Nikabadze, A.
  • Stute, W.

Abstract

Let denote a parametric family of lifetime distributions on the real line. For a given sample of possibly censored data from an unknown distribution function F, we consider the Kaplan-Meier process with estimated parameters. It constitutes the basic tool for checking the hypothesis . Since for testing purposes this process is intractable in practice we propose to transform it to another one from which (asymptotically) distribution-free full model checks are readily available.

Suggested Citation

  • Nikabadze, A. & Stute, W., 1997. "Model checks under random censorship," Statistics & Probability Letters, Elsevier, vol. 32(3), pages 249-259, March.
  • Handle: RePEc:eee:stapro:v:32:y:1997:i:3:p:249-259
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    References listed on IDEAS

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    1. K. Auinger, 1990. "Quasi goodness of fit tests for lifetime distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 37(1), pages 97-116, December.
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    Cited by:

    1. Delgado, Miguel A. & Hidalgo, Javier & Velasco, Carlos, 2005. "Distribution free goodness-of-fit tests for linear processes," LSE Research Online Documents on Economics 6840, London School of Economics and Political Science, LSE Library.
    2. Can, S.U. & Einmahl, John & Laeven, R.J.A., 2017. "Asymptotically Distribution-Free Goodness-of-Fit Testing for Copulas," Discussion Paper 2017-052, Tilburg University, Center for Economic Research.
    3. Delgado, Miguel A. & Stute, Winfried, 2008. "Distribution-free specification tests of conditional models," Journal of Econometrics, Elsevier, vol. 143(1), pages 37-55, March.
    4. Li, Gang & Sun, Yanqing, 2000. "A simulation-based goodness-of-fit test for survival data," Statistics & Probability Letters, Elsevier, vol. 47(4), pages 403-410, May.
    5. Zhang, Chun-Xia & Mei, Chang-Lin & Zhang, Jiang-She, 2007. "An empirical study of a test for polynomial relationships in randomly right censored regression models," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6543-6556, August.

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