Moments of order statistics and L-moments for the symmetric triangular distribution

被引：10

作者：

Nagaraja, H. N. ^{[1
]}

机构：

[1] Ohio State Univ, Coll Publ Hlth, Div Biostat, Columbus, OH 43210 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2013年 / 83卷 / 10期

关键词：

Triangular distribution; Order statistics; Moments; L-moments; Incomplete beta function;

D O I：

10.1016/j.spl.2013.06.028

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 obtain compact forms and recommend computationally efficient expressions for the moments of order statistics from the symmetric triangular distribution. We provide large sample moment approximations for the sample minimum and discuss the properties of L-moments. We also apply our results to a problem in smart communication networks. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：2357 / 2363

页数：7

共 50 条

[1] Applications of some new inequalities for moments of order statistics and L-moments
Preda, Vasile
Ciumara, Roxana
20TH INTERNATIONAL CONFERENCE, EURO MINI CONFERENCE CONTINUOUS OPTIMIZATION AND KNOWLEDGE-BASED TECHNOLOGIES, EUROPT'2008, 2008, : 311 - +
[2] L-moments and TL-moments of the generalized lambda distribution
Asquith, William H.
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2007, 51 (09) : 4484 - 4496
[3] TL-MOMENTS AND L-MOMENTS ESTIMATION FOR THE WEIBULL DISTRIBUTION
Abdul-Moniem, Ibrahim B.
ADVANCES AND APPLICATIONS IN STATISTICS, 2010, 15 (01) : 83 - 99
[4] L-moments and C-moments
T. J. Ulrych
D. R. Velis
A. D. Woodbury
M. D. Sacchi
Stochastic Environmental Research and Risk Assessment, 2000, 14 : 50 - 68
[5] Distributions with maximum entropy subject to constraints on their L-moments or expected order statistics
Hosking, J. R. M.
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (09) : 2870 - 2891
[6] L-moments and C-moments
Ulrych, TJ
Velis, DR
Woodbury, AD
Sacchi, RD
STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT, 2000, 14 (01) : 50 - 68
[7] L-moments and TL-moments
Bilkova, Diana
33RD INTERNATIONAL CONFERENCE MATHEMATICAL METHODS IN ECONOMICS (MME 2015), 2015, : 49 - 55
[8] Estimation of quantile mixtures via L-moments and trimmed L-moments
Karvanen, Juha
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 51 (02) : 947 - 959
[9] Comparing TL-Moments, L-Moments and Conventional Moments of Dagum Distribution by Simulated data
Shahzad, Mirza Naveed
Asghar, Zahid
REVISTA COLOMBIANA DE ESTADISTICA, 2013, 36 (01): : 79 - 93
[10] Characterizing the generalized lambda distribution by L-moments
Karvanen, Juha
Nuutinen, Arto
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2008, 52 (04) : 1971 - 1983

← 1 2 3 4 5 →