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

被引：21
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
收藏
页码：85 / 91
页数：7
相关论文
共 17 条
[11]   Properties of coherent systems with dependent components [J].
Navarro, J. ;
Ruiz, Jose M. ;
Sandoval, Carlos J. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (1-4) :175-191
[12]   Reliability and expectation bounds for coherent systems with exchangeable components [J].
Navarro, Jorge ;
Rychlik, Tomasz .
JOURNAL OF MULTIVARIATE ANALYSIS, 2007, 98 (01) :102-113
[13]   Computations of Signatures of Coherent Systems with Five Components [J].
Navarro, Jorge ;
Rubio, Rafael .
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2010, 39 (01) :68-84
[14]   Generalized exponential distribution: Moments of order statistics [J].
Raqab, MZ .
STATISTICS, 2004, 38 (01) :29-41
[15]   ON CLOSURE OF THE IFR CLASS UNDER FORMATION OF COHERENT SYSTEMS [J].
SAMANIEGO, FJ .
IEEE TRANSACTIONS ON RELIABILITY, 1985, 34 (01) :69-72
[16]   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
[17]   A FAMILY OF J-SHAPED FREQUENCY FUNCTIONS [J].
TOPP, CW ;
LEONE, FC .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1955, 50 (269) :209-219
12