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313824

General Recurrence Relations Based on Upper Record Values

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Last updated: 05 Jan 2025

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Abstract

In this paper, we establish general recurrence relations satisfied by the single and double expected values of any measurable function of upper record values. Then, we use these relations to obtain the corresponding recurrence relations for the moments, moment generating functions (MGFs), and factorial moment generating functions (FMGFs) of upper record values. We consider some examples including, exponential, Weibull, Pareto, generalized Pareto, Burr, logistic, half logistic, log-logistic, skewed and parabolic distributions. Finally, we present an application in life testing.  

DOI

10.21608/esju.2000.313824

Keywords

Upper Record Values - Recurrence Relations, Moments - Moment Generating Functions - Factorial Moment Generating Functions and Reliability Function

Volume

44

Article Issue

1

Related Issue

43031

Issue Date

2000-06-01

Publish Date

2000-06-01

Page Start

68

Page End

80

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313824.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313824

Order

6

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

General Recurrence Relations Based on Upper Record Values

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Article

Created At

28 Dec 2024