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Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution

Author

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

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, 2022. "Characterizations and Entropy Measures of the Exponentiated Generalized Frechet Geometric Distribution," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:2717894
    DOI: 10.1155/2022/2717894
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    References listed on IDEAS

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    1. Bhatti Fiaz Ahmad & Hamedani G. G. & Sheng Wenhui & Ahmad Munir, 2018. "On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 45-60, June.
    2. Abdulhakim A Al-Babtain & Ibrahim Elbatal & Christophe Chesneau & Mohammed Elgarhy, 2021. "Estimation of different types of entropies for the Kumaraswamy distribution," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-21, March.
    3. Zhe Chen & Yaan Li & Hongtao Liang & Jing Yu, 2019. "Improved Permutation Entropy for Measuring Complexity of Time Series under Noisy Condition," Complexity, Hindawi, vol. 2019, pages 1-12, March.
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