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Expectation properties of generalized order statistics based on Gompertz-G family of distributions

Author

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  • Yousef F. Alharbi
  • Mohamad A. Fawzy
  • Haseeb Athar

Abstract

Gompertz-G family of distributions has been considered. The moment properties of generalized order statistics were studied and characterization results have been presented. Further, several examples and special cases were discussed. The results can be applied to many known distributions included in this family.

Suggested Citation

  • Yousef F. Alharbi & Mohamad A. Fawzy & Haseeb Athar, 2023. "Expectation properties of generalized order statistics based on Gompertz-G family of distributions," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(4), pages 1-14.
    • Handle: RePEc:wut:journl:v:33:y:2023:i:4:p:1-14:id:1
    DOI: 10.37190/ord230401
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    References listed on IDEAS

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    1. Jagdish Saran & Aparna Pandey, 2003. "Recurrence relations for marginal and joint moment generating functions of generalized order statistics from power function distribution," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 27-33.
    2. Haseeb Athar & Hasan Mateen-Ul Islam, 2004. "Recurrence relations for single and product moments of generalized order statistics from a general class of distribution," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 327-337.
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