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Some Properties of the Poisson Distribution with an Application to Reliability Testing

Published online by Cambridge University Press:  27 July 2009

Jayant Rajgopal ,
Mainak Mazumdar  and
Thomas H. Savits
Jayant Rajgopal
Affiliation:
Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261
Mainak Mazumdar
Affiliation:
Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261
Thomas H. Savits
Affiliation:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania 15261
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Abstract

Construction of a certain class of component tests for verification of series system reliability requires the use of some properties of the Poisson distribution that are not commonly known or used. This paper states and proves these results.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 3 , July 1994 , pp. 345 - 354
Copyright
Copyright © Cambridge University Press 1994

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References

1.Altinel, K.I. (1990). System based component test problem: The design of optimum system based component test plans. Unpublished doctoral dissertation, University of Pittsburgh, Pittsburgh, PA.Google Scholar
2.Barlow, R.E. & Proschan, F. (1975). Statistical theory of reliability and life testing. New York: Holt, Rinehart and Winston.Google Scholar
3.Chung, K.L. (1974). A course in probability theory. New York: Academic Press.Google Scholar
4.Easterling, R.G., Mazumdar, M., Spencer, F.W., & Diegert, K.V. (1991). System-based component test plans and operating characteristics: Binomial data. Technometrics 33: 287–298.CrossRefGoogle Scholar
5.Hogg, R. V. & Ledolter, J. (1992). Applied statistics for engineers and physical scientists. New York: Macmillan.Google Scholar
6.Mazumdar, M. (1977). An optimum procedure for component testing in the demonstration of series system reliability. IEEE Transactions on Reliability R-26: 342–345.CrossRefGoogle Scholar
7.Rajgopal, J. & Mazumdar, M. (1992). Designing component test plans for series system reliability via linear programming. Technical Report No. 92-1, Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA (under review for publication in Technometrics).Google Scholar
8.Van Zwet, M.R. (1964). Convex transformation of random variables. Amsterdam: Mathematisch Centrum.Google Scholar