Journal of Statistical Theory and Applications

In Press, Uncorrected Proof, Available Online: 21 May 2020

Marshall–Olkin Power Generalized Weibull Distribution with Applications in Engineering and Medicine

Authors
Ahmed Z. Afify1, Devendra Kumar2, *, I. Elbatal3, 4
1 Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
2 Department of Statistics, Central University of Haryana, Haryana, India
3 Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
4 Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt
*Corresponding author. Email: devendrastats@gmail.com
Corresponding Author
Devendra Kumar
Available Online 21 May 2020.
DOI
https://doi.org/10.2991/jsta.d.200507.004How to use a DOI?
Keywords
Marshall–Olkin-G Family, Maximum likelihood, Momemts, Power-generalized Weibull model
Abstract

This paper proposes a new flexible four-parameter model called Marshall–Olkin power generalized Weibull (MOPGW) distribution which provides symmetrical, reversed-J shaped, left-skewed and right-skewed densities, and bathtub, unimodal, increasing, constant, decreasing, J shaped, and reversed-J shaped hazard rates. Some of the MOPGW structural properties are discussed. The maximum likelihood is utilized to estimate the MOPGW unknown parameters. Simulation results are provided to assess the performance of the maximum likelihood method. Finally, we illustrate the importance of the MOPGW model, compared with some rival models, via two real data applications from the engineering and medicine fields.

Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
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
Publication Date
2020/05
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.d.200507.004How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
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  - Ahmed Z. Afify
AU  - Devendra Kumar
AU  - I. Elbatal
PY  - 2020
DA  - 2020/05
TI  - Marshall–Olkin Power Generalized Weibull Distribution with Applications in Engineering and Medicine
JO  - Journal of Statistical Theory and Applications
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200507.004
DO  - https://doi.org/10.2991/jsta.d.200507.004
ID  - Afify2020
ER  -