Concomitants of Generalized Order Statistics from Bivariate Cambanis Family of Distributions Under a General Setting

Faculty Science Year: 2021
Type of Publication: ZU Hosted Pages:
Authors:
Haroun Mohammed Abdel-Fattah Barakat
Journal: Bulletin of the Malaysian Mathematical Sciences Society ٍSpringer Volume:
Keywords : Concomitants , Generalized Order Statistics from Bivariate Cambanis    
Abstract:
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.
    
     
 
       

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