Communications in Statistics - Theory and Methods, ( ISI ), Volume (50), No (24), Year (2020-3) , Pages (5779-5791)

Title : ( A note on the strong consistency of nonparametric estimation of Shannon entropy in length-biased sampling )

Authors: Farzaneh Oliazadeh , Anis Iranmanesh , Vahid Fakoor ,

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Abstract

In this article, we propose an estimator of Shannon entropy based on kernel estimators of density function in length-biased setting. The strong consistency of the proposed estimators is established. In addition, some simulations are conducted to evaluate the performance of the proposed estimator.

Keywords

, Length, biased data; Kernel density estimation; Shannon entropy; strong consistency
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@article{paperid:1079190,
author = {فرزانه اولیازاده and انیس ایرانمنش and Fakoor, Vahid},
title = {A note on the strong consistency of nonparametric estimation of Shannon entropy in length-biased sampling},
journal = {Communications in Statistics - Theory and Methods},
year = {2020},
volume = {50},
number = {24},
month = {March},
issn = {0361-0926},
pages = {5779--5791},
numpages = {12},
keywords = {Length-biased data; Kernel density estimation; Shannon entropy; strong consistency},
}

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%0 Journal Article
%T A note on the strong consistency of nonparametric estimation of Shannon entropy in length-biased sampling
%A فرزانه اولیازاده
%A انیس ایرانمنش
%A Fakoor, Vahid
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2020

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