Journal of Statistical Theory and Applications

Volume 20, Issue 2, June 2021, Pages 279 - 288

Estimation of Entropy for Weibull Distribution Based on Record Values

Authors
Manoj Chacko*, , P. S. Asha
Department of Statistics, University of Kerala, Trivandrum, 695581, India
*Corresponding author. Email: manojchacko02@gmail.com
Corresponding Author
Manoj Chacko
Received 5 April 2019, Accepted 14 December 2020, Available Online 10 July 2021.
DOI
https://doi.org/10.2991/jsta.d.210610.001How to use a DOI?
Keywords
Entropy, record values, Bayes estimators, MCMC method
Abstract

In this paper, estimation of entropy for Weibull distribution based on record values is considered. Maximum likelihood estimation and Bayes estimation for Shannon entropy and Renyi entropy have been considered based on record values. Bayes estimators are obtained using Markov Chain Monte Carlo method. A simulation study is performed to find the performance of the estimators developed in this paper. The inferential procedures developed in this paper have also been illustrated using real data.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
20 - 2
Pages
279 - 288
Publication Date
2021/07/10
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.d.210610.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Manoj Chacko
AU  - P. S. Asha
PY  - 2021
DA  - 2021/07/10
TI  - Estimation of Entropy for Weibull Distribution Based on Record Values
JO  - Journal of Statistical Theory and Applications
SP  - 279
EP  - 288
VL  - 20
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.210610.001
DO  - https://doi.org/10.2991/jsta.d.210610.001
ID  - Chacko2021
ER  -