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

This paper investigates the concomitants of m -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 of m -generalized order statistics ( m -GOS)...

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Bibliographic Details
Published in:Bulletin of the Iranian Mathematical Society 2021-08, Vol.47 (4), p.1045-1068
Main Authors: Elgawad, Mohamed A. Abd, Barakat, Haroon M., Alawady, Metwally A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Original Paper
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Summary:This paper investigates the concomitants of m -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 of m -generalized order statistics ( m -GOS) as a parallel model of m -DGOS. Furthermore, the joint distributions of the concomitants of the m -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.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-020-00427-0