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Inference on Reliability of Stress-Strength Models for Poisson Data
Author
Source
Journal of Quality and Reliability Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Engineering Sciences and Information Technology
Economics & Business Administration
Abstract EN
Researchers in reliability engineering regularly encounter variables that are discrete in nature, such as the number of events (e.g., failures) occurring in a certain spatial or temporal interval.
The methods for analyzing and interpreting such data are often based on asymptotic theory, so that when the sample size is not large, their accuracy is suspect.
This paper discusses statistical inference for the reliability of stress-strength models when stress and strength are independent Poisson random variables.
The maximum likelihood estimator and the uniformly minimum variance unbiased estimator are here presented and empirically compared in terms of their mean square error; recalling the delta method, confidence intervals based on these point estimators are proposed, and their reliance is investigated through a simulation study, which assesses their performance in terms of coverage rate and average length under several scenarios and for various sample sizes.
The study indicates that the two estimators possess similar properties, and the accuracy of these estimators is still satisfactory even when the sample size is small.
An application to an engineering experiment is also provided to elucidate the use of the proposed methods.
American Psychological Association (APA)
Barbiero, Alessandro. 2013. Inference on Reliability of Stress-Strength Models for Poisson Data. Journal of Quality and Reliability Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-479095
Modern Language Association (MLA)
Barbiero, Alessandro. Inference on Reliability of Stress-Strength Models for Poisson Data. Journal of Quality and Reliability Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-479095
American Medical Association (AMA)
Barbiero, Alessandro. Inference on Reliability of Stress-Strength Models for Poisson Data. Journal of Quality and Reliability Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-479095
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479095