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Concomitants of Generalized Order Statistics from Bivariate Cambanis Family of Distributions Under a General Setting
Bulletin of the Malaysian Mathematical Sciences Society ( IF 1.0 ) Pub Date : 2021-03-22 , DOI: 10.1007/s40840-021-01102-1
M. A. Alawady , H. M. Barakat , M. A. Abd Elgawad

In this paper, we study the concomitants of m-generalized order statistics (m-GOSs) and m-dual generalized order statistics (m-DGOSs) from bivariate Cambanis family with nonzero parameter values as an extension of several recent papers. Moreover, we derive some information measures, namely the Shannon entropy, Kullback–Leibler (KL) divergence and Fisher information number (FIN) for the concomitants of m-GOSs, when \(m>-1,\) and record values, for \(m=-1.\) Also, the joint distribution of concomitants of m-GOSs and record values for this family are studied. Besides, some useful recurrence relations between moments of concomitants are obtained. Finally, the ordinary order statistics (OOSs), record values and sequential order statistics (SOSs) as subclasses of m-GOSs, as well as the progressive type II censored order statistics (POSs) as a more general subclass of GOSs, are separately discussed.



中文翻译:

一般设置下双变量Cambanis分布族的广义阶统计量的伴随物

在本文中,我们研究的伴随物-generalized订单统计(-GOSs)和中号-双广义顺序统计(来自二元坎巴尼斯家庭-DGOSs)非零参数值的最近几篇论文的延伸。此外,当\(m> -1,\)和记录值分别为m -GOS时,我们导出了一些信息量度,即Shannon熵,Kullback-Leibler(KL)散度和Fisher信息数(FIN)。\(m = -1。\)而且,m伴随的联合分布-研究了该家族的GOS和记录值。此外,获得了伴随时刻之间的一些有用的递归关系。最后,分别讨论了普通订单统计(OOS),记录值和顺序订单统计(SOS)作为m -GOS的子类,以及渐进式II型审查订单统计(POS)作为GOS的更一般的子类。 。

更新日期:2021-03-22
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