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Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution

Author

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  • Naz Saud
  • Aqsa Rafique
  • Muhammad Ijaz
  • Naila Amjad
  • Mahmoud El-Morshedy
  • Syed Habib Shah
  • Bin Wang

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.

Suggested Citation

  • Naz Saud & Aqsa Rafique & Muhammad Ijaz & Naila Amjad & Mahmoud El-Morshedy & Syed Habib Shah & Bin Wang, 2022. "Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-17, February.
    • Handle: RePEc:hin:jnlamp:2717894
    DOI: 10.1155/2022/2717894
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