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Distributional convergence under proportional censorship when covariables are present

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  • de Uña-Álvarez, Jacobo
  • González-Manteiga, Wenceslao

Abstract

Let (X,Y) be the variable of interest, where Y is the possibly right-censored lifetime and X is a p-dimensional covariate. We prove asymptotic normality for a generalized ACL (Abdushukurov-Cheng-Lin) estimator of E([phi](X,Y)) under proportional censorship for each function [phi] satisfying minimal conditions. We comment several applications of our result.

Suggested Citation

  • de Uña-Álvarez, Jacobo & González-Manteiga, Wenceslao, 1998. "Distributional convergence under proportional censorship when covariables are present," Statistics & Probability Letters, Elsevier, vol. 39(4), pages 305-315, August.
    • Handle: RePEc:eee:stapro:v:39:y:1998:i:4:p:305-315
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    References listed on IDEAS

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    1. Stute, W., 1993. "Consistent Estimation Under Random Censorship When Covariables Are Present," Journal of Multivariate Analysis, Elsevier, vol. 45(1), pages 89-103, April.
    2. Stute, Winfried, 1992. "Strong consistency under the Koziol--Green model," Statistics & Probability Letters, Elsevier, vol. 14(4), pages 313-320, July.
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