Alpha Power Transformed Weibull-G Family of Distributions: Theory and Applications
- https://doi.org/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.
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- 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 - 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 - https://doi.org/10.2991/jsta.d.210222.002 ID - Elbatal2021 ER -