Renyi Entropy of k-Records: Properties and Applications

被引：8

作者：

Jose, Jitto ^{[1
]}

Sathar, E. I. Abdul ^{[2
]}

机构：

[1] Rajagiri Coll Social Sci, Dept Stat, Cochin 683104, Kerala, India

[2] Univ Kerala, Dept Stat, Trivandrum 695581, India

来源：

REVSTAT-STATISTICAL JOURNAL | 2022年 / 20卷 / 04期

关键词：

characterization; k-records; monotone property; Renyi entropy ordering; Renyi divergence; uniform distribution; FISHER INFORMATION; DISTRIBUTIONS;

D O I：

10.57805/revstat.v20i4.385

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 paper, we discuss on Renyi entropy of k-records arising from any continuous distribution in detail. The relevance of constructing k-records from random sample in the context of information contained in a random variable has been described in the study. Some important properties of Renyi entropy of k-records have been derived as well. Two relevant applications of Renyi entropy of k-records are discussed in this work. Finally, a simple estimator is proposed for Renyi entropy of k-records and a numerical illustration has been carried out using a real life data set.

引用

页码：481 / 500

页数：20

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