asymptotic normality of the truncation probability estimator for truncated dependent data
Publish Year: 1388
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-2-1_005
تاریخ نمایه سازی: 6 شهریور 1396
Abstract:
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 .
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Authors
s jomhoori
department of statistics faculty of mathematical sciences ferdowsi university of mashhad iran
v fakoor
department of statistics faculty of mathematical sciences ferdowsi university of mashhad iran
h.a azarnoosh
department of statistics faculty of mathematical sciences ferdowsi university of mashhad iran