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313830

Moments of Record Values from Uniform Distribution and Associated Inference

Article

Last updated: 28 Dec 2024

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Abstract

In this paper, we derive exact explicit expressions for the single, double, triple and quadruple moments of the upper and lower record values from uniform distribution. We then use these expressions to compute the mean, variance, and the coefficients of skewness and kurtosis of certain linear functions of record values. Finally, we develop approximate confidence intervals for the location and scale parameters of uniform distribution using the Edgeworth approximation and compare them with the intervals constructed through Monte Carlo simulations.  

DOI

10.21608/esju.2000.313830

Keywords

Upper Record Values - Lower Record Values - Single Moments - Double Moments - Triple Moments - Quadruple Moments - Uniform Distribution - Edgeworth Ap Proximation - Coefficients of Skewness and Kurtosis, Approximate Confidence Interval - Pivotal Quantity - Best Linear Unbiased Estimates - Probability Coverages

Volume

44

Article Issue

2

Related Issue

43032

Issue Date

2000-12-01

Publish Date

2000-12-01

Page Start

137

Page End

149

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313830.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313830

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Moments of Record Values from Uniform Distribution and Associated Inference

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Article

Created At

28 Dec 2024