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Concomitants of Generalized Order Statistics from Huang–Kotz Farlie–Gumble–Morgenstern Bivariate Distribution: Some Information Measures
Faculty
Science
Year:
2020
Type of Publication:
ZU Hosted
Pages:
Authors:
Haroun Mohammed Abdel-Fattah Barakat
Staff Zu Site
Abstract In Staff Site
Journal:
Bulletin of the Malaysian Mathematical Sciences Society ٍSpringer
Volume:
Keywords :
Concomitants , Generalized Order Statistics from Huang–Kotz Farlie–Gumble–Morgenstern
Abstract:
In this paper, we study the concomitants of m-dual generalized order statistics (and consequently m-generalized order statistics) from Huang–Kotz Farlie–Gumble– Morgenstern bivariate distribution as an extension of several recent papers. Some well-known information measures, the Shannon entropy, the Kullback–Leibler distance and the Fisher information number, are derived. Moreover, some useful recurrence relations between single and product moments of concomitants are obtained. Finally, an application of these results is given for bivariate generalized exponential distribution.
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Haroun Mohammed Abdel-Fattah Barakat, "Asymptotic distributions of order statistics and record values arising from the class of beta-generated distributions", Taylor &Francis, 2014
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Haroun Mohammed Abdel-Fattah Barakat, "Statistical Modeling of Extreme Values with Applications to Air Pollution", Science Puplications publisher, 2012
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