Rényi Entropy of k-Records: properties and applications

Jitto Jose; E. I.  Abdul Sathar

doi:10.57805/revstat.v20i4.385

Rényi Entropy of k-Records

properties and applications

Authors

Jitto Jose University of Kerala https://orcid.org/0000-0003-4260-9028
E. I. Abdul Sathar University of Kerala https://orcid.org/0000-0001-9032-8701

DOI:

https://doi.org/10.57805/revstat.v20i4.385

Keywords:

Characterization, k-Records, Monotone Property, Rényi entropy ordering, Rényi divergence, Uniform distributivo

Abstract

In this paper, we discuss on Rényi 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 Rényi entropy of k-records have been derived as well. Two relevant applications of Rényi entropy of k-records are discussed in this work. Finally, a simple estimator is proposed for Rényi entropy of k-records and a numerical illustration has been carried out using a real life data set.

Downloads

REVSTAT2022v20n4_5

Published

2022-08-01

How to Cite

Jose , J., & Abdul Sathar , E. I. . (2022). Rényi Entropy of k-Records: properties and applications. REVSTAT-Statistical Journal, 20(4), 481–500. https://doi.org/10.57805/revstat.v20i4.385