Alpha Power Transformed Weibull-G Family of Distributions: Theory and Applications

Authors

I. Elbatal¹, M. Elgarhy², B. M. Golam Kibria^{3, *,}

¹Department of Mathematics and Statistics, College of Science Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia

²The Higher Institute of Commercial Sciences, Al mahalla Al kubra, 31951, Algarbia, Egypt

³Department of Mathematics and Statistics, Florida International University, Miami, FL, 33199, USA

^*Corresponding author. Email: kibriag@fiu.edu

DOI

10.2991/jsta.d.210222.002How to use a DOI?

Keywords

Application; Exponential distribution; Family of distribution; Generating function; Lindley distribution; Maximum likelihood estimation; Weibull distribution; Alpha power transformed; Distributions; Moments; Weibull -G family

Abstract

This paper considers three special cases: Exponential, Rayleigh and Lindley of a family of generalized distributions, called alpha power Weibull G (APW-G) family. Some essential and valuable statistical properties of the family of distributions are obtained. The proposed distributions are very flexible and can be used to model data with decreasing, increasing or bathtub-shaped hazard rates. Model parameters estimation and a simulation study is carried out to evaluate the behaviors of the parameters. We consider two worthwhile data sets to illustrate the finding of the paper.

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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TY  - JOUR
AU  - I. Elbatal
AU  - M. Elgarhy
AU  - B. M. Golam Kibria
PY  - 2021
DA  - 2021/03/01
TI  - Alpha Power Transformed Weibull-G Family of Distributions: Theory and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 340
EP  - 354
VL  - 20
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.210222.002
DO  - 10.2991/jsta.d.210222.002
ID  - Elbatal2021
ER  -