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
✦ LIBER ✦
Distributional convergence under proportional censorship when covariables are present
✍ Scribed by Jacobo de Uña-Álvarez; Wenceslao González-Manteiga
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 449 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ 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 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 minimal conditions. We comment several applications of our result. (~
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