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314863

On the Modes of a Mixture of two Inverse Gaussian Distributions

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Last updated: 05 Jan 2025

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Abstract

In this paper, the mixture of two Inverse Gaussian distributions (MIG) is considered. The approach of the study presents a procedure for answering the question of whether MIG is unimodal or not. We show that MIG is bimodal in certain cases, otherwise it is unimodal. Some conditions under which MIG is either unimodal or bimodal are discussed. A simple iterative formula is given, which always converges, for finding the modes.

DOI

10.21608/esju.1992.314863

Keywords

Convergence, Inverse Gaussian Distributions, Iterative Formula, Mixture Data, Mode Finding

Authors

First Name

Nagi

Last Name

Abd-EI-Hakim

MiddleName

S.

Affiliation

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City

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Orcid

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First Name

Khalal

Last Name

Ahmad

MiddleName

E.

Affiliation

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Orcid

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Volume

36

Article Issue

2

Related Issue

43182

Issue Date

1992-12-01

Receive Date

2023-08-28

Publish Date

1992-12-01

Page Start

226

Page End

233

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314863.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314863

Order

5

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

On the Modes of a Mixture of two Inverse Gaussian Distributions

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Article

Created At

28 Dec 2024