Nonparametric Entropy Estimation of Conditional Distribution Under Length-Biased Right Censored Sample

被引：0

作者：

Rajesh, G. ^{[1
]}

Rajesh, Richu ^{[1
]}

Sunoj, S. M. ^{[1
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Stat, Cochin 682022, Kerala, India

来源：

JOURNAL OF STATISTICAL THEORY AND PRACTICE | 2023年 / 17卷 / 02期

关键词：

Shannon entropy; length-biased sampling; censoring; conditional distribution; kernel density estimation; mean squared error;

D O I：

10.1007/s42519-023-00326-7

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：

This article presents a nonparametric integral estimator for Shannon differential entropy of conditional distribution under length-biased sampling in the right censored case. Asymptotic properties of the estimator are established under suitable regularity conditions. The performance of the proposed estimator is investigated through a simulation study. An application of the estimator to a real data is also established.

引用

页数：16

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