ON CONCOMITANTS OF GENERALIZED ORDER STATISTICS FROM GENERALIZED FGM FAMILY UNDER A GENERAL SETTING

被引：14

作者：

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

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：

MATHEMATICA SLOVACA | 2022年 / 72卷 / 02期

关键词：

Concomitants; generalized order statistics; progressive type-II censored order statistics; record values; Farlie-Gumbel-Morgenstern extensions; DISTRIBUTIONS; VARIABLES;

D O I：

10.1515/ms-2022-0033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the distributional and moment properties of concomitants of dual generalized order statistics and consequently generalized order statistics. When the parameters are assumed to be pairwise different from Bairamov-Kotz-Becki Farlie-Gumbel-Morgenstern (BKB-FGM) family. Furthermore, an example of progressive type-II censored order statistics of BKB-FGM family under uniform distribution is obtained. Moreover, the joint distribution of dual generalized order statistics and record values of concomitants for this family are discussed. Finally, an application is given for some well-known distributions such as exponential, Pareto, and power function distributions. (C) 2022 Mathematical Institute Slovak Academy of Sciences

引用

页码：507 / 526

页数：20

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