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On local odds and hazard rate models in survival analysis

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  • Janssen, Arnold

Abstract

The present paper establishes an isometry between tangents and odds (hazard) ratio derivatives for randomly censored survival models. The procedure works for arbitrary distributions with discrete parts. As consequence common survival statistics are obtained via discrete empirical models. The isometry can also be used to specify semiparametric models given by odds (or hazard) derivatives.

Suggested Citation

  • Janssen, Arnold, 1994. "On local odds and hazard rate models in survival analysis," Statistics & Probability Letters, Elsevier, vol. 20(5), pages 355-365, August.
    • Handle: RePEc:eee:stapro:v:20:y:1994:i:5:p:355-365
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    Citations

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    Cited by:

    1. Michael Brendel & Arnold Janssen & Claus-Dieter Mayer & Markus Pauly, 2014. "Weighted Logrank Permutation Tests for Randomly Right Censored Life Science Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(3), pages 742-761, September.
    2. Arnold Janssen & Andreas Knoch, 2016. "Information bounds for nonparametric estimators of L-functionals and survival functionals under censored data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(2), pages 195-220, February.
    3. Heck-Boldebuck D. & Liese F. & Neuhaus G., 2002. "Optimal Nonparametric Tests For Truncated Data," Statistics & Risk Modeling, De Gruyter, vol. 20(1-4), pages 111-136, April.
    4. Pierre‐Yves Deléamont & Elvezio Ronchetti, 2022. "Robust inference with censored survival data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 49(4), pages 1496-1533, December.

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