Issue: 2022/Vol.32/No.4, Pages 17-31
RELATIONS FOR MOMENTS OF GENERALISED ORDER STATISTICS BASED ON WEIBULL-G FAMILY OF DISTRIBUTIONS
Haseeb Athar , Yousef F. Alharbi , Mohamad A. Fawzy
Cite as: H. Athar, Y. F. Alharbi, M. A. Fawzy. Relations for moments of generalised order statistics based on Weibull-G family of distributions. Operations Research and Decisions 2022: 32(4), 17-31. DOI 10.37190/ord220402
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.
Keywords: generalised order statistics, order statistics, record values, expectation identities, characterisation
Received: 11 October 2021 Accepted: 12 December 2022
Published online: 8 February 2023