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

被引：2

作者：

Oliazadeh, Farzaneh ^{[1
]}

Iranmanesh, Anis ^{[1
]}

Fakoor, Vahid ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math & Stat, Mashhad Branch, Mashhad, Razavi Khorasan, Iran

[2] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Stat, Mashahd, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 24期

关键词：

Length-biased data; Kernel density estimation; Shannon entropy; strong consistency; KERNEL DENSITY-ESTIMATION; BANDWIDTH CONSISTENCY; UNIFORM;

D O I：

10.1080/03610926.2020.1737123

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：5779 / 5791

页数：13

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