A New Four-Parameter Weibull Model for Lifetime Data

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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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  -