On the moments of order statistics coming from the Topp-Leone distribution

被引：20

作者：

MirMostafaee, S. M. T. K. ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Stat, Babol Sar, Iran

来源：

STATISTICS & PROBABILITY LETTERS | 2014年 / 95卷

关键词：

Coherent systems; Recurrence relations; Product moments; Single moments; Topp-Leone distribution; RECURRENCE RELATIONS; COHERENT SYSTEMS; RELIABILITY; IDENTITIES;

D O I：

10.1016/j.spl.2014.08.014

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 present recurrence relations for the moments of order statistics from the Topp-Leone distribution without any restriction for the shape parameter. Several relations are also derived when the shape parameter is an integer. An application of the results is provided. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：85 / 91

页数：7

共 17 条

[1]

Arnold B. C., 2008, Classics in Applied Mathematics

[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] Moments of order statistics of Topp-Leone distribution [J].

Genc, Ali I. .

STATISTICAL PAPERS, 2012, 53 (01) :117-131

[4]

Ghitany M.E., 2007, INT J APPL MATH, V20, P371

[5] 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

[6]

Gradshteyn L., 2000, TABLE INTEGRALS SERI

[7] Some relationships between skew-normal distributions and order statistics from exchangeable normal random vectors [J].

Loperfido, Nicola ;

Navarro, Jorge ;

Ruiz, Jose M. ;

Sandoval, Carlos J. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (9-12) :1719-1733

[8]

MALIK HJ, 1988, COMMUN STAT-THEOR M, V17, P2623

[9] Moments of some J-shaped distributions [J].

Nadarajah, S ;

Kotz, S .

JOURNAL OF APPLIED STATISTICS, 2003, 30 (03) :311-317

[10] Explicit expressions for moments of order statistics [J].

Nadarajah, Saralees .

STATISTICS & PROBABILITY LETTERS, 2008, 78 (02) :196-205

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