Volume 20, Issue 2, June 2021, Pages 340 - 354
Alpha Power Transformed Weibull-G Family of Distributions: Theory and Applications
I. Elbatal1, M. Elgarhy2, B. M. Golam Kibria3, *,
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: email@example.com
B. M. Golam Kibria
Received 1 July 2020, Accepted 19 February 2021, Available Online 1 March 2021.
- 10.2991/jsta.d.210222.002How to use a DOI?
- Application; Exponential distribution; Family of distribution; Generating function; Lindley distribution; Maximum likelihood estimation; Weibull distribution; Alpha power transformed; Distributions; Moments; Weibull -G family
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.
- © 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 -