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313804

Estimation of System Components Reliabilities Using Masked Data

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Last updated: 05 Jan 2025

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Abstract

Consider a system of m independent and non-identical components connected in series. Such system fails whenever at least one of the components has failed. Due to the cost and time constraints, however, the exact cause of system failure might be unknown. Instead, it is assumed that the cause of system failure may be due to a component that belongs to a subset of the m components. Such type of observation is referred to as being masked. Confronted with this phenomenon, we use the maximum likelihood procedure to estimate the parameters indexed to the life time distributions of the system components. Further the system component reliabilities at a specified time will be estimated. We focused on series systems with two and three components. The system component lifetimes are assumed to be Weibull distributed. We show that closed-form solutions for the maximum likelihood estimates can be obtained under certain assumptions. Further, numerical simulation study is presented.  

DOI

10.21608/esju.2001.313804

Keywords

Masked Data, Maximum likelihood, Weibull Distributed

Volume

45

Article Issue

1

Related Issue

43028

Issue Date

2001-06-01

Publish Date

2001-06-01

Page Start

59

Page End

72

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313804.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313804

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

Estimation of System Components Reliabilities Using Masked Data

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Article

Created At

28 Dec 2024