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314305

Computation of the Moments and Product Moments of Order Statistics for Skewed Continuous Distribution

Article

Last updated: 27 Apr 2025

OverviewSimilar Items

Subjects

-

Tags

Generalized order Statistics

Abstract

this article, we present a new algorithm to compute the moments, product moments, variances and covariances of order statistics in skewed continuous distributions for any sample size. The algorithm is written using the Gauss-Legender quadrature algorithm of GAUSS mathematical and statistical system matrix programming language. The accuracy of the calculations was tested for the Gamma, Weibull, and the extreme value distributions. A nonlinear least squares approximation for the first moments of order statistics for the gamma, Weibull and extreme value distributions is also presented.
 

DOI

10.21608/esju.2010.314305

Keywords

Order Statistics, Simpson's Algorithm, Gauss, Legendre Quadrature Algorithm, Series Approximations, Nonlinear Least Squares Approximations, recurrence relations

Authors

First Name

Osama

Last Name

Abdelaziz Hussien

MiddleName

-

Affiliation

Faculty of Commerce, Alexandria University

Email

-

City

-

Orcid

-

Volume

54

Article Issue

2

Related Issue

43101

Issue Date

2010-12-01

Publish Date

2010-12-01

Page Start

84

Page End

107

Print ISSN

0542-1748

Online ISSN

2786-0086

Article File

ESJU_Volume 54_Issue 2_Pages 84-107.pdf

PDF . 29.9MB

Link

https://esju.journals.ekb.eg/article_314305.html

Detail API

http://journals.ekb.eg?_action=service&article_code=314305

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Computation of the Moments and Product Moments of Order Statistics for Skewed Continuous Distribution

Details

Type

Article

Created At

28 Dec 2024