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314856

Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics

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Last updated: 28 Dec 2024

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Abstract

Discrete mixtures of geometric distributions are characterized in terms of (i) relations between the best predictor of max (X1, X2) given min (X1, X2) and the failure rate of the distribution. (ii) relations between conditional expectation of some appropriate functions of order statistics on some others and the failure rate of the distributions. Kirmani and Alam (1980) and Dallas (1987) main results follow as particular cases of our results.

DOI

10.21608/esju.1992.314856

Keywords

mixtures, Order Statistics, Predictor, failure rate, Geometric Distribution, Conditional Expectation

Authors

First Name

A.N.

Last Name

Ahmed

MiddleName

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City

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Orcid

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First Name

A. Y.

Last Name

Yehia

MiddleName

-

Affiliation

-

Email

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-

Orcid

-

Volume

36

Article Issue

1

Related Issue

43181

Issue Date

1992-06-01

Receive Date

2023-08-28

Publish Date

1992-06-01

Page Start

119

Page End

135

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314856.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314856

Order

8

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics

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Article

Created At

28 Dec 2024