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.
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页数：16
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