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Information bounds for nonparametric estimators of L-functionals and survival functionals under censored data

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  • Arnold Janssen
  • Andreas Knoch

Abstract

In the present paper we derive lower asymptotic information bounds of Cramér-Rao type for estimators of nonparametric statistical functionals. The results are based on dense differentiability and dense regularity concepts which lead to weak assumptions. As explicit examples L-estimators are treated. In addition a new rapid method for the treatment of survival functionals under randomly right censored data is presented. For instance, for the famous Kaplan-Meier and Nelson-Aalen estimators, our information bound is just the lower bound obtained earlier in the literature. Copyright Springer-Verlag Berlin Heidelberg 2016

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metrik:v:79:y:2016:i:2:p:195-220
    DOI: 10.1007/s00184-015-0551-y
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    References listed on IDEAS

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