Concomitants of Generalized Order Statistics from Huang–Kotz Farlie–Gumble–Morgenstern Bivariate Distribution: Some Information Measures

Information Measures for Generalized Order Statistics and Their Concomitants under General Framework from Huang-Kotz FGM Bivariate Distribution

“…By using Theorem 2.3 in [10], we get an explicit form of FI number for concomitants of DGOSs from HK-FGM in the following theorem. Theorem 8.…”

“…By using (6) and Theorem 2.2 in [ 10 ], we can easily get an explicit form of the Shannon entropy for concomitants of DGOSs from the HK–FGM model (3).…”

“…In the last two decades, many authors have dealt with modifications of the FGM family allowing high correlation between its components. For example, see [ 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 ]. One of the most important and flexible generalizations of the classical FGM family was introduced by [ 26 ] by adding an additional shape parameter.…”

“…Mohie El-Din et al [ 30 ] studied the concomitants of GOSs from the FGM family, when Moreover, Mohie El-Din et al [ 38 ] studied the Shannon entropy and the FI number for the concomitants of m -GOSs from FGM family for some special known marginals. Recently, Abd Elgawad et al [ 10 ] studied the FI number for concomitants of m -DGOSs in the HK–FGM family. As a natural extension of the results obtained by [ 30 , 38 ], we study the concomitants of DGOSs (in the case when ) from the HK–FGM model.…”

“…The distributional properties and some important information measures such as FI number and Shannon’s entropy of the concomitants of GOSs and DGOSs from some important extensions of the FGM model, such as the HK–FGM model, were recently studied in [ 10 , 11 , 12 , 13 , 14 , 15 ]. All of these studies were carried out for the submodels m-GOSs and m-DGOSs, which include many interesting models such as ordinary order statistics and sequential order statistics.…”