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315644

An Approximation for the First Inverse Moment of the Positive Binomial and Poisson Variables

Article

Last updated: 28 Dec 2024

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Abstract

This paper is devoted to the derivation of limiting forms for the inverse moments of the positive binomial and Poisson variables. The method adopted depends on getting successive upper and lower limits for the first inverse moment, which leads to an appropriate limit, when n (number of trials of the binomial) and m (the Poisson parameter) are large. Numerical values show that the approximation is good under the above stated conditions, and is better than the one stated by Grab and Savage in [1].

DOI

10.21608/esju.1977.315644

Keywords

Positive Binomial, Poisson Variables, First Inverse Moment, Numerical Values

Authors

First Name

Badrekan

Last Name

Mohamed

MiddleName

Zaki

Affiliation

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Orcid

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Volume

21

Article Issue

1

Related Issue

43266

Issue Date

1977-06-01

Receive Date

2023-09-02

Publish Date

1977-06-01

Page Start

71

Page End

80

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_315644.html

Detail API

https://esju.journals.ekb.eg/service?article_code=315644

Order

4

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

An Approximation for the First Inverse Moment of the Positive Binomial and Poisson Variables

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Article

Created At

28 Dec 2024