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313568

Sampling Distribution for the K-Th Order Statistics from the Generalized Gumbel Distribution

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Last updated: 05 Jan 2025

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Abstract

This article is concerned with the sampling distribution of the k-th order statistics of the generalized Gumbel distribution with one shape parameter 2 suggested by Adeyemi (2002). Focusing on the moments for the k-th order statistics numerical solutions we obtained for different values of the shape parameter and different sample sizes (small, moderate and large) using Mathcad statistical package (2001). Pearson system technique is used to fit a suitable distribution for the k-th order statistics. Regardless of the values of the shape parameter and the sample sizes, the fitting distributions for the smallest and the largest order statistics are Pearson type I and IV respectively, while if k = n-1 the best fit is a Pearson type VI. Part of the numerical results and some graphs for some sampling distributions are displayed at the appendix.

DOI

10.21608/esju.2004.313568

Keywords

Generalized Gumbel Distribution - Order Statistics, Moments - Pearson Curve

Volume

48

Article Issue

1

Related Issue

42996

Issue Date

2004-06-01

Publish Date

2004-06-01

Page Start

1

Page End

11

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313568.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313568

Order

1

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Sampling Distribution for the K-Th Order Statistics from the Generalized Gumbel Distribution

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Article

Created At

28 Dec 2024