Title : ( Berry-Esseen bound for smooth estimator of distribution function under length-biased data )
Authors: Rahele Zamini , Masoud Ajami , Vahid Fakoor ,
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Abstract
In this paper, by using a sampling procedure, subjected to length-bias, the distribution function F is estimated by the kernel-type estimator F s n, and also a Berry-Esseen type bound for the smoothed estimator is established in this setting. Further, it is shown that the rate of the nor- mal approximation is Oðn1=6Þ under some appropriate conditions
Keywords
, Berry, Esseen theorem; length biased data; rate of convergence; smoothed estimator
@article{paperid:1091110,
author = {Rahele Zamini and Masoud Ajami and Fakoor, Vahid},
title = {Berry-Esseen bound for smooth estimator of distribution function under length-biased data},
journal = {Communications in Statistics - Theory and Methods},
year = {2022},
volume = {53},
number = {5},
month = {August},
issn = {0361-0926},
pages = {1800--1809},
numpages = {9},
keywords = {Berry-Esseen theorem; length biased data; rate of convergence; smoothed estimator},
}
%0 Journal Article
%T Berry-Esseen bound for smooth estimator of distribution function under length-biased data
%A Rahele Zamini
%A Masoud Ajami
%A Fakoor, Vahid
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2022
