Strong consistency under proportional censorship when covariables are present

Jacobo de Uña-Álvarez and Wenceslao González-Manteiga

Statistics & Probability Letters, 1999, vol. 42, issue 3, 283-292

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 introduce a generalized ACL (Abdushukurov, Cheng, Lin) estimator F~XY of FXY(x,y)=P(X[less-than-or-equals, slant]x,Y[less-than-or-equals, slant]y) and we prove [integral operator][phi] dF~XY-->[integral operator][phi] dFXY a.s. for any integrable function [phi] under an extended Koziol-Green model of proportional censorship.

Keywords: ACL; estimator; Covariables; Proportional; censorship; Strong; consistency (search for similar items in EconPapers)
Date: 1999
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