Strong consistency under proportional censorship when covariables are present
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.
Year of publication: |
1999
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Authors: | Uña-Álvarez, Jacobo de ; González-Manteiga, Wenceslao |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 42.1999, 3, p. 283-292
|
Publisher: |
Elsevier |
Keywords: | ACL estimator Covariables Proportional censorship Strong consistency |
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