Stat, Volume (8), No (1), Year (2019-1) , Pages (1-7)

Title : ( Weak convergence of TJW product-limit estimator under association )

Authors: Amir hossein Shabani , Hadi Jabbari Nooghabi , Vahid Fakoor ,

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Abstract

Estimation of a survival function and its asymptotic behaviors under random left truncation and right censor model had been extensively studied in the five past decades. In application, the assumption of independence between cases is often not true in such studies. To the best of our knowledge, there is no study in the current literature addressing weak convergence of the estimator of survival function under this model. The current article is studying weak convergence of Tsai-Jewell-Wang estimator under positive or negative association. Also, we use our main results for analyzing a real data set.

Keywords

, Negative and positive association, random left truncation and right censoring, plug-in estimator, product-limit estimator, weak convergence
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@article{paperid:1071086,
author = {Shabani, Amir Hossein and Jabbari Nooghabi, Hadi and Fakoor, Vahid},
title = {Weak convergence of TJW product-limit estimator under association},
journal = {Stat},
year = {2019},
volume = {8},
number = {1},
month = {January},
issn = {2049-1573},
pages = {1--7},
numpages = {6},
keywords = {Negative and positive association; random left truncation and right censoring; plug-in estimator; product-limit estimator; weak convergence},
}

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%0 Journal Article
%T Weak convergence of TJW product-limit estimator under association
%A Shabani, Amir Hossein
%A Jabbari Nooghabi, Hadi
%A Fakoor, Vahid
%J Stat
%@ 2049-1573
%D 2019

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