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

被引：0
|
作者：
Athar, Haseeb [1 ]
Alharbi, Yousef F. [2 ]
Fawzy, Mohamad A. [2 ,3 ]
机构：
[1] Aligarh Muslim Univ, Dept Stat & Operat Res, Fac Sci, Aligarh, Uttar Pradesh, India
[2] Taibah Univ, Coll Sci, Dept Math, Al Madinah, Saudi Arabia
[3] Suez Univ, Fac Sci, Math Dept, Suez, Egypt
来源：
OPERATIONS RESEARCH AND DECISIONS | 2022年 / 32卷 / 04期
关键词：
generalised order statistics; order statistics; record values; expectation identities; characterisation; RECURRENCE RELATIONS; SINGLE;
D O I：
10.37190/ord220402
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
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.
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页码：17 / 31
页数：15
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