%0 Journal Article
%T Asymptotic normality of the truncation probability estimator for truncated dependent data
%J Iranian Journal of Numerical Analysis and Optimization
%I Ferdowsi University of Mashhad
%Z 2423-6977
%A Jomhoori, S.
%A Fakoor, V.
%A Azarnoosh, H. A.
%D 2009
%\ 01/01/2009
%V 2
%N 1
%P -
%! Asymptotic normality of the truncation probability estimator for truncated dependent data
%K a-mixing
%K left-truncation
%K product-limit estima- tor
%K strong representation
%K truncation probability
%R 10.22067/ijnao.v2i1.639
%X In some long term studies, a series of dependent and possibly truncated life-times may be observed. Suppose that the lifetimes have a common marginal distribution function. In left-truncation model, one observes data (Xi,Ti)
only, when Ti ≤ Xi. Under some regularity conditions, we provide a strong representation of the ßn estimator of ß = P(Ti ≤ Xi), in the form of an average of random variables plus a remainder term. This representation en-ables us to obtain the asymptotic normality for ßn .
%U https://ijnao.um.ac.ir/article_24410_cc1c4dab5a3df245a5b66f088d6da479.pdf