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Relations for moments of generalised order statistics based on Weibull-G family of distributions

Author

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

Abstract

The Weibull distribution is one of the important distributions used in reliability theory and life-testing experiments. The generalised versions of the Weibull distribution give a more flexible model for these studies. The Weibull–G family of distributions is one of the extended versions extensively studied. In this paper, we have studied moments properties of generalised order statistics for the said distribution in terms of a single moment, product moments and characterisation. Several examples and special cases are presented. The results can be applied to all distributions belonging to this family.

Suggested Citation

  • Haseeb Athar & Yousef F. Alharbi & Mohamad A. Fawzy, 2022. "Relations for moments of generalised order statistics based on Weibull-G family of distributions," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(4), pages 17-31.
    • Handle: RePEc:wut:journl:v:32:y:2022:i:4:p:17-31:id:2
    DOI: 10.37190/ord220402
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