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314435

Preservation Properties for Some Discrete Mean Residual Life Ordering

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Last updated: 05 Jan 2025

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Abstract

The random variable xt= x –t|x≤t, which is called the residual life random variable, has gathered the attention of most researchers in reliability. The properties of mean residual life in continuous case have been studied by several authors. But in discrete case, only in recent years, some studies have been done. In this paper, we present the main results concerning the statistical properties of the discrete mean residual life ordering. such as, convolution, mixtures and convergence in distributions. Furthermore, two results concerning discrete renewal process in connection with the orders in the paper are obtained.  

DOI

10.21608/esju.2013.314435

Keywords

Convolution, Mixtures - Residual Life Ordering

Volume

57

Article Issue

2

Related Issue

43115

Issue Date

2013-12-01

Publish Date

2013-12-01

Page Start

64

Page End

78

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314435.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314435

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

Preservation Properties for Some Discrete Mean Residual Life Ordering

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Article

Created At

28 Dec 2024