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

IF 0.7 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Haseeb Athar, Yousef F. Alharbi, Mohamad A. Fawzy
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引用次数: 0

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.
基于Weibull-G族分布的广义序统计量矩的关系
威布尔分布是可靠性理论和寿命试验中重要的分布之一。广义威布尔分布为这些研究提供了一个更灵活的模型。Weibull-G族分布是被广泛研究的扩展版本之一。在本文中,我们从单矩、积矩和表征的角度研究了上述分布的广义阶统计量的矩性质。给出了几个例子和特殊情况。结果可以应用于属于这个家族的所有分布。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Operations Research and Decisions
Operations Research and Decisions OPERATIONS RESEARCH & MANAGEMENT SCIENCE-
CiteScore
1.00
自引率
25.00%
发文量
16
审稿时长
15 weeks
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