Moments of order statistics of Topp-Leone distribution

被引：48
作者：
Genc, Ali I. [1 ]
机构：
[1] Nigde Univ, Dept Math, TR-51200 Nigde, Turkey
来源：
STATISTICAL PAPERS | 2012年 / 53卷 / 01期
关键词：
Topp-Leone distribution; Order statistics; Moments of order statistics; Moment relations; RECURRENCE RELATIONS;
D O I：
10.1007/s00362-010-0320-y
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We derive explicit algebraic expressions for both of the single and product moments of order statistics from Topp-Leone distribution. We also give an identity about single moments of order statistics. These expressions will be useful for computational purposes.
引用
收藏
页码：117 / 131
页数：15
相关论文
共 13 条
[1]  
Arnold B.C., 1998, RECORDS
[2]   RECURRENCE RELATIONS AND IDENTITIES FOR MOMENTS OF ORDER-STATISTICS .2. SPECIFIC CONTINUOUS DISTRIBUTIONS [J].
BALAKRISHNAN, N ;
MALIK, HJ ;
AHMED, SE .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1988, 17 (08) :2657-2694
[3]  
Ghitany M.E., 2007, INT J APPL MATH, V20, P371
[4]   On some reliability measures and their stochastic orderings for the Topp-Leone distribution [J].
Ghitany, ME ;
Kotz, S ;
Xie, M .
JOURNAL OF APPLIED STATISTICS, 2005, 32 (07) :715-722
[5]  
Kotz S., 2006, ENCY STAT SCI, V6, P3786
[6]  
Kotz S., 2004, Beyond beta: Other continuous families of distributions with bounded support and applications
[7]   Moments of some J-shaped distributions [J].
Nadarajah, S ;
Kotz, S .
JOURNAL OF APPLIED STATISTICS, 2003, 30 (03) :311-317
[8]   Explicit expressions for moments of order statistics [J].
Nadarajah, Saralees .
STATISTICS & PROBABILITY LETTERS, 2008, 78 (02) :196-205
[9]   Generalized exponential distribution: Moments of order statistics [J].
Raqab, MZ .
STATISTICS, 2004, 38 (01) :29-41
[10]   Recurrence relations for the moments of order statistics from a beta distribution [J].
Thomas, P. Yageen ;
Samuel, Philip .
STATISTICAL PAPERS, 2008, 49 (01) :139-146
12