Concomitants of Generalized Order Statistics Under the Generalization of Farlie-Gumbel-Morgenstern- Type Bivariate Distributions

被引：18

作者：

Abd Elgawad, Mohamed A. ^{[1
]}

Barakat, Haroon M. ^{[2
]}

Alawady, Metwally A. ^{[2
]}

机构：

[1] Benha Univ, Fac Sci, Dept Math, Banha 13518, Egypt

[2] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2021年 / 47卷 / 04期

关键词：

Concomitants; Dual generalized order statistics; FGM family; GFGM family; Bivariate generalized exponential distribution; RECORD VALUES;

D O I：

10.1007/s41980-020-00427-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the concomitants ofm-dual generalized order statistics (m-DGOS) under the generalized Farlie-Gumbel-Morgenstern-type bivariate distributions as an extension of several recent papers. This study can also be applied to the model ofm-generalized order statistics (m-GOS) as a parallel model ofm-DGOS. Furthermore, the joint distributions of the concomitants of them-DGOS and the record values for this family have been studied. Some useful recurrence relations are obtained between single and product moments of concomitants. Moreover, most of the paper results were extended to any arbitrary distribution. Finally, these results are applied to the bivariate generalized exponential distribution.

引用

页码：1045 / 1068

页数：24

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