Optimal sampling schemes for estimating system reliability by testing components—I: Fixed sample sizes

Donald A. Berry

doi:10.1080/01621459.1974.10482980

Optimal sampling schemes for estimating system reliability by testing components—I: Fixed sample sizes

Donald A. Berry

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A Bayesian decision theoretic approach is employed to compare sampling schemes designed to estimate the reliability of series and parallel systems by testing individual components. Quadratic loss is assumed and schemes are found which minimize Bayes risk plus sampling cost. Several kinds of initial information concerning the reliability of the individual components, all of which assume the components function independently, are considered. The case for which the initial information is in terms of the system’s reliability is briefly considered and related to the aforementioned case.

Original language	English (US)
Pages (from-to)	485-491
Number of pages	7
Journal	Journal of the American Statistical Association
Volume	69
Issue number	346
DOIs	https://doi.org/10.1080/01621459.1974.10482980
State	Published - Jun 1974
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1080/01621459.1974.10482980

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abstract = "A Bayesian decision theoretic approach is employed to compare sampling schemes designed to estimate the reliability of series and parallel systems by testing individual components. Quadratic loss is assumed and schemes are found which minimize Bayes risk plus sampling cost. Several kinds of initial information concerning the reliability of the individual components, all of which assume the components function independently, are considered. The case for which the initial information is in terms of the system{\textquoteright}s reliability is briefly considered and related to the aforementioned case.",

author = "Berry, {Donald A.}",

note = "Funding Information: *Donald A. Berry is assistant professor. School of Statistics. University of Minnesota, Minneapolis, Minn. 55455. Research for this article was partially supported by the National Science Foundation under Grant GP-28922X. The author is indebted to Robert J. Buehler for stimulating his interest in this problem and to a referee for helpful suggestions.",

year = "1974",

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PY - 1974/6

Y1 - 1974/6

N2 - A Bayesian decision theoretic approach is employed to compare sampling schemes designed to estimate the reliability of series and parallel systems by testing individual components. Quadratic loss is assumed and schemes are found which minimize Bayes risk plus sampling cost. Several kinds of initial information concerning the reliability of the individual components, all of which assume the components function independently, are considered. The case for which the initial information is in terms of the system’s reliability is briefly considered and related to the aforementioned case.

AB - A Bayesian decision theoretic approach is employed to compare sampling schemes designed to estimate the reliability of series and parallel systems by testing individual components. Quadratic loss is assumed and schemes are found which minimize Bayes risk plus sampling cost. Several kinds of initial information concerning the reliability of the individual components, all of which assume the components function independently, are considered. The case for which the initial information is in terms of the system’s reliability is briefly considered and related to the aforementioned case.

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ER -

Optimal sampling schemes for estimating system reliability by testing components—I: Fixed sample sizes

Abstract

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