Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution-Reference-Cited by-同舟云学术

Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution

Published:2022-02-04 Issue: Volume:2022 Page:1-17
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Saud Naz¹,Rafique Aqsa¹,Ijaz Muhammad²,Amjad Naila¹,El-Morshedy Mahmoud³⁴^ORCID,Shah Syed Habib⁵

Affiliation:

1. Lahore College for Women University, Lahore, Pakistan

2. The University of Haripur, Haripur 22630, Pakistan

3. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

5. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, Pakistan

Abstract

Some characterizations and entropy measures of the Exponentiated Generalized Fréchet Geometric (EGFG) distribution are studied in this paper. Firstly, characterizations of the EGFG distribution based on five different approaches are discussed. The submodels for the EGFG distribution with their characterization expressions formed on the ratio of two truncated moments are also presented. Secondly, four different entropy measures are considered and expressed analytically via the incomplete gamma function. The behavior of all these entropy measures is discussed by performing a numerical study.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2022/2717894.pdf

Reference30 articles.

1. A Characterization Theorem Based on Truncated Moments and its Application to Some Distribution Families

2. A characterization of the normal distribution;W. Glänzel;Studia Scientiarum Mathematicarum Hungarica,1988

3. Characterizations of cauchy, normal, and uniform distributions;G. Hamedani;Studia Scientiarum Mathematicarum Hungarica,1993

4. Characterizations of univariate continuous distributions. II

5. Characterizations of univariate continuous distributions, III