Concomitants of Ordered Variables from Huang-Kotz FGM Type Bivariate Generalized Exponential Distribution

被引:25
作者
Barakat, H. M. [1 ]
Nigm, E. M. [1 ]
Syam, A. H. [2 ]
机构
[1] Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
[2] Higher Technol Inst, 10th Of Ramadan City, Egypt
关键词
Concomitants; Order statistics; Record values; Generalized exponential distribution; Huang-Kotz FGM family; EXPECTED VALUE; STATISTICS; SYMMETRY; RECORDS; FAMILY; RANK;
D O I
10.1007/s40840-017-0489-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the Huang-Kotz Morgenstern type bivariate generalized exponential distribution. Some distributional properties of concomitants of order statistics as well as record values for this family are studied. Recurrence relations between single and product moments of concomitants are obtained. Moreover, the rank and the asymptotic behavior of concomitants of order statistics are investigated.
引用
收藏
页码:337 / 353
页数:17
相关论文
共 34 条
[1]  
Ahsanullah M, 2013, B MALAYS MATH SCI SO, V36, P625
[2]  
Ahsanullah M, 2009, B MALAYS MATH SCI SO, V32, P101
[3]  
Ahsanullah M., 2013, J STATIST THEORY APP, V13, P17
[4]  
AHUJA JC, 1967, SANKHYA SER A, V29, P141
[5]  
Ahuja JC, 1969, INDIAN J STAT B, V31, P541
[6]   Symmetry and dependence properties within a semiparametric family of bivariate copulas [J].
Amblard, C ;
Girard, S .
JOURNAL OF NONPARAMETRIC STATISTICS, 2002, 14 (06) :715-727
[7]  
[Anonymous], 1987, ASYMPTOTIC THEORY EX
[8]  
Arnold BC, 1998, Wiley series in probability and statistics: probability and statistics. A Wiley-Interscience Publication
[9]   Dependence structure and symmetry of Huang-Kotz FGM distributions and their extensions [J].
Bairamov, I ;
Kotz, S .
METRIKA, 2002, 56 (01) :55-72
[10]   Limit Theorems of Order Statistics and Record Values from the Gamma- and Kumaraswamy-Generated-Distributions [J].
Barakat, H. M. ;
Nigm, E. M. ;
Harpy, M. H. .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2017, 40 (03) :1055-1069