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Concomitants of Generalized Order Statistics Under the Generalization of Farlie–Gumbel–Morgenstern- Type Bivariate Distributions
Bulletin of the Iranian Mathematical Society ( IF 0.7 ) Pub Date : 2020-07-04 , DOI: 10.1007/s41980-020-00427-0
Mohamed A. Abd Elgawad , Haroon M. Barakat , Metwally A. Alawady

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.



中文翻译:

Farlie-Gumbel-Morgenstern型双变量分布的广义广义统计量的伴随

本文研究了广义Farlie-Gumbel-Morgenstern型双变量分布下的m-双重广义顺序统计量(m -DGOS)的伴随物,作为最近几篇论文的扩展。本研究中也可以应用到的模型-generalized顺序统计(-GOS)作为一个并行模型-DGOS。此外,m伴随的联合分布-DGOS和该家族的记录值已得到研究。在伴随的单矩和乘积矩之间获得了一些有用的递归关系。而且,大多数论文结果都扩展到了任意分布。最后,将这些结果应用于二元广义指数分布。

更新日期:2020-07-05
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