Relations for moments of generalised order statistics based on Weibull-G family of distributions
Author:
Athar Haseeb,Alharbi Yousef F.,Fawzy Mohamad A.
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.
Publisher
Politechnika Wroclawska Oficyna Wydawnicza
Subject
Management of Technology and Innovation,Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability