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Strong consistency under proportional censorship when covariables are present

✍ Scribed by Jacobo de Uña-Álvarez; Wenceslao González-Manteiga

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
107 KB
Volume
42
Category
Article
ISSN
0167-7152

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✦ Synopsis

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 FXY of FXY (x; y) = P(X 6x; Y 6y) and we prove ' d FXY → ' dFXY a.s. for any integrable function ' under an extended Koziol-Green model of proportional censorship.

📜 SIMILAR VOLUMES

Distributional convergence under proport
Distributional convergence under proportional censorship when covariables are present
✍ Jacobo de Uña-Álvarez; Wenceslao González-Manteiga 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 449 KB

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 f qgd/~xy of E(q~(X, Y)) under proportional censorship for each function q~ satisfying