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313835

Bayes Prediction for the Number of Failures in Mixed Exponential Population

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Last updated: 28 Dec 2024

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Abstract

This paper deals with the problem of predicting the number of components which fail in a future time interval in the case where the failure population is a mixture of two exponential distributions and sampling is censored at a predetermined test termination time. The joint predictive distribution of the number of failures from each sub-population and the corresponding marginal distributions are derived. Both the one-sample and the two-sample prediction problems have been considered. Sample sizes are taken as random variables having the Poisson distribution. Numerical examples are provided to illustrate the predictive procedures.  

DOI

10.21608/esju.2000.313835

Keywords

Time, Censored Life Test Data, One, two, Sample Prediction, Variable Sample Size, Trinomial Distribution

Volume

44

Article Issue

2

Related Issue

43032

Issue Date

2000-12-01

Publish Date

2000-12-01

Page Start

193

Page End

218

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313835.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313835

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7

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Bayes Prediction for the Number of Failures in Mixed Exponential Population

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Article

Created At

28 Dec 2024