Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution

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 chara...

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Main Authors: Naz Saud, Aqsa Rafique, Muhammad Ijaz, Naila Amjad, Mahmoud El-Morshedy, Syed Habib Shah
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2022/2717894
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author Naz Saud
Aqsa Rafique
Muhammad Ijaz
Naila Amjad
Mahmoud El-Morshedy
Syed Habib Shah
author_facet Naz Saud
Aqsa Rafique
Muhammad Ijaz
Naila Amjad
Mahmoud El-Morshedy
Syed Habib Shah
author_sort Naz Saud
collection DOAJ
description 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.
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institution Kabale University
issn 1687-9139
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-2f1e29bbeb994c91a38e895ca40acf182025-02-03T06:06:22ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2717894Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric DistributionNaz Saud0Aqsa Rafique1Muhammad Ijaz2Naila Amjad3Mahmoud El-Morshedy4Syed Habib Shah5Lahore College for Women UniversityLahore College for Women UniversityThe University of HaripurLahore College for Women UniversityDepartment of MathematicsInstitute of Numerical SciencesSome 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.http://dx.doi.org/10.1155/2022/2717894
spellingShingle Naz Saud
Aqsa Rafique
Muhammad Ijaz
Naila Amjad
Mahmoud El-Morshedy
Syed Habib Shah
Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution
Advances in Mathematical Physics
title Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution
title_full Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution
title_fullStr Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution
title_full_unstemmed Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution
title_short Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution
title_sort characterizations and entropy measures of the exponentiated generalized frechet geometric distribution
url http://dx.doi.org/10.1155/2022/2717894
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