On Concomitants of Dual Generalized Order Statistics from Bairamov-Kotz-Becki Farlie-Gumbel-Morgenstern Bivariate Distributions

2021 ◽  
Author(s):  
M. A. Alawady ◽  
H. M. Barakat ◽  
Shengwu Xiong ◽  
M. A. Abd Elgawad
Keyword(s):  
Order Statistics ◽  
Generalized Order Statistics ◽  
Bivariate Distributions ◽  
Dual Generalized Order Statistics ◽  
Generalized Order

scholarly journals Information Measures for Generalized Order Statistics and Their Concomitants under General Framework from Huang-Kotz FGM Bivariate Distribution

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 335
Author(s):  
Mohamed A. Abd Elgawad ◽  
Haroon M. Barakat ◽  
Shengwu Xiong ◽  
Salem A. Alyami
Keyword(s):  
Order Statistics ◽  
General Framework ◽  
Bivariate Distribution ◽  
Generalized Order Statistics ◽  
Information Measures ◽  
Progressive Type ◽  
Information Number ◽  
Fisher Information Number ◽  
Dual Generalized Order Statistics ◽  
Generalized Order

In this paper, we study the concomitants of dual generalized order statistics (and consequently generalized order statistics) when the parameters γ1,⋯,γn are assumed to be pairwise different from Huang–Kotz Farlie–Gumble–Morgenstern bivariate distribution. Some useful recurrence relations between single and product moments of concomitants are obtained. Moreover, Shannon’s entropy and the Fisher information number measures are derived. Finally, these measures are extensively studied for some well-known distributions such as exponential, Pareto and power distributions. The main motivation of the study of the concomitants of generalized order statistics (as an important practical kind to order the bivariate data) under this general framework is to enable researchers in different fields of statistics to use some of the important models contained in these generalized order statistics only under this general framework. These extended models are frequently used in the reliability theory, such as the progressive type-II censored order statistics.

Limit theory of bivariate dual generalized order statistics with random index

Statistics ◽  
2016 ◽  
Vol 51 (3) ◽  
pp. 572-590 ◽  
Author(s):  
M. A. Abd Elgawad ◽  
H. M. Barakat ◽  
Hong Qin ◽  
Ting Yan
Keyword(s):  
Order Statistics ◽  
Generalized Order Statistics ◽  
Limit Theory ◽  
Random Index ◽  
Dual Generalized Order Statistics ◽  
Generalized Order
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