Journal of Statistical Theory and Applications

Volume 16, Issue 4, December 2017, Pages 448 - 466

A New Four-Parameter Weibull Model for Lifetime Data

Authors
Haitham M. Yousof, Ahmed Z. Afify, Gauss M. Cordeiro, Ayman Alzaatreh, Mohammad Ahsanullah
Corresponding Author
Haitham M. Yousof
Received 15 July 2016, Accepted 15 August 2017, Available Online 1 December 2017.
DOI
10.2991/jsta.2017.16.4.3How to use a DOI?
Keywords
Entropy, Exponentiated Generalized Family; Generating Function; Maximum Likelihood; Order Statistic; Transmuted Family.
Abstract

We introduce a new four-parameter distribution with constant, decreasing, increasing, bathtub and upside-down bathtub failure rate called the transmuted exponentiated generalized Weibull model. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the new model is illustrated by means of three applications to real data.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
16 - 4
Pages
448 - 466
Publication Date
2017/12/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2017.16.4.3How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Haitham M. Yousof
AU  - Ahmed Z. Afify
AU  - Gauss M. Cordeiro
AU  - Ayman Alzaatreh
AU  - Mohammad Ahsanullah
PY  - 2017
DA  - 2017/12/01
TI  - A New Four-Parameter Weibull Model for Lifetime Data
JO  - Journal of Statistical Theory and Applications
SP  - 448
EP  - 466
VL  - 16
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.4.3
DO  - 10.2991/jsta.2017.16.4.3
ID  - Yousof2017
ER  -