Estimation of the truncation probability in the random truncation model
نویسندگان
چکیده
منابع مشابه
The central limit theorem under random truncation.
Under left truncation, data (X(i), Y(i)) are observed only when Y(i) ≤ X(i). Usually, the distribution function F of the X(i) is the target of interest. In this paper, we study linear functionals ∫ φ dF(n) of the nonparametric maximum likelihood estimator (MLE) of F, the Lynden-Bell estimator F(n). A useful representation of ∫ φ dF(n) is derived which yields asymptotic normality under optimal m...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1998
ISSN: 0090-5364
DOI: 10.1214/aos/1024691086