scholarly journals Characterization of symmetric distributions based on concomitants of ordered variables from FGMs family of bivariate distributions

Filomat ◽  
2019 ◽  
Vol 33 (13) ◽  
pp. 4239-4250 ◽  
Author(s):  
Jafar Ahmadi ◽  
M. Fashandi
Keyword(s):  
Order Statistics ◽  
Lower Order ◽  
Symmetric Distribution ◽  
Bivariate Distributions ◽  
Symmetric Distributions ◽  
Concomitants Of Order Statistics ◽  
Distribution Moments

Several characterization results of a symmetric distribution based on concomitants of order statistics as well as k-records from Farlie-Gumbel-Morgenstern (FGM) family of bivariate distributions are established. These include characterizations of a symmetric distribution on the basis of equality in distribution, moments, R?nyi and Tsallis entropies of concomitants of upper and lower order statistics, also in terms of the same properties of concomitants of upper and lower k-records.

Concomitants of order statistics and record values from Bairamov-Kotz-Becki-FGM bivariate-generalized exponential distribution

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3313-3324 ◽  
Author(s):  
H.M. Barakat ◽  
E.M. Nigm ◽  
A.H. Syam
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Recurrence Relations ◽  
Record Values ◽  
Generalized Exponential Distribution ◽  
Bivariate Distributions ◽  
Concomitants Of Order Statistics ◽  
Distributional Properties

We introduce the Bairamov-Kotz-Becki-Farlie-Gumble-Morgenstern (BKB-FGM) type bivariategeneralized exponential distribution. Some distributional properties of concomitants of order statistics as well as record values for this family are studied. Recurrence relations between the moments of concomitants are obtained, some of these recurrence relations were not publishes before for Morgenstern type bivariate distributions. Moreover, most of the paper results are extended to arbitrary distributions (see Remark 3.1).

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