Journal of Statistical Theory and Applications

Volume 20, Issue 2, June 2021, Pages 204 - 218

On Finite 3-Component Mixture of Rayleigh Distributions: A Classical Look

Authors
Muhammad Tahir1, *, Muhammad Ahsanullah2, Sidra Mohsin1, Muhammad Abid1
1 Department of Statistics, Government College University, Faisalabad, Pakistan
2 Professor Emeritus, Rider University, USA
*Corresponding author. Email: tahirqaustat@yahoo.com
Corresponding Author
Muhammad Tahir
Received 8 October 2018, Accepted 6 July 2020, Available Online 23 June 2021.
DOI
https://doi.org/10.2991/jsta.d.210616.001How to use a DOI?
Keywords
Mixture distribution, Maximum likelihood estimation, Statistical properties, Entropies, Inequality measures, Order statistics
Abstract

In this study, we have discussed various statistical properties for 3-component mixture of Rayleigh distributions. Here initially, the main properties of mixture distributions are presented and analyzed. Second, some of the famous entropies, measures of inequality are also discussed. Also, the statistical properties of the density functions of rth-, 1st- and nth-order statistics are derived. Moreover, the parameters estimation of the considered mixture model under the maximum likelihood (ML) estimation is also performed using censored and complete data scheme. Finally, the results on ML estimation are also computed via Monte Carlo simulation study and as well as by using a real-life data set.

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
204 - 218
Publication Date
2021/06/23
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.d.210616.001How 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  - Muhammad Tahir
AU  - Muhammad Ahsanullah
AU  - Sidra Mohsin
AU  - Muhammad Abid
PY  - 2021
DA  - 2021/06/23
TI  - On Finite 3-Component Mixture of Rayleigh Distributions: A Classical Look
JO  - Journal of Statistical Theory and Applications
SP  - 204
EP  - 218
VL  - 20
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.210616.001
DO  - https://doi.org/10.2991/jsta.d.210616.001
ID  - Tahir2021
ER  -