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Sequential Methods to Detect Material Losses

Published online by Cambridge University Press:  27 July 2009

Ashim K. Mallik  and
Jaxk H. Reeves
Ashim K. Mallik
Affiliation:
Department of Statistics, University of Georgia, Athens, Georgia 30602
Jaxk H. Reeves
Affiliation:
Department of Statistics, University of Georgia, Athens, Georgia 30602
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Extract

The materials-loss problem is examined under the assumption that one wishes to minimize the maximum expected amount of material diverted. A solution is obtained in the case of constant diversion under a simple sequential probability ratio test (SPRT). Extensions to the cases of correlated errors, random diversion schemes, and the Page and Shirayev-Roberts tests are examined. A thought-provoking application to the regulation of strategic special nuclear materials is given.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 2 , Issue 4 , October 1988 , pp. 501 - 515
Copyright
Copyright © Cambridge University Press 1988

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References

1.Goldman, A.S., Picard, R.R., & Shipley, J.P. (1982). Statistical methods for nuclear materials safeguards: an overview. Technometrics 24: 267–294.CrossRefGoogle Scholar
2.Goldman, A.S. (1985). Sequential test procedures for detecting protracted materials losses. Los Alamos National Laboratory Report LA-103 19 MS.Google Scholar
3.Henderson, (1986). Change-point problem with correlated observations, with an application in material accountancy. Technometrics 28: 381–390.CrossRefGoogle Scholar
4.Lorden, G. (1971). Procedures for reacting to a change in distribution. Annals of Mathematical Statistics 42: 1897–1908.CrossRefGoogle Scholar
5.Page, E.S. (1954). Continuous inspection schemes. Biometrika 41: 100–115.CrossRefGoogle Scholar
6.Robbins, H. & Seigmund, D. (1970). Boundary crossing probabilities for the Wiener process and sample sums. Annas of Mathematical Statistics 41: 1410–1429.CrossRefGoogle Scholar
7.Roberts, S.W. (1966). A comparison of some control chart procedures. Technometrics 8: 411–430.Google Scholar
8.Siegmund, D. (1985). Sequential analysis, tests and confidence intervals. New York: Springer-Verlag.Google Scholar