Optimal Upper Confidence Limits for Products of Poisson Parameters with Applications to the interval Estimation of the Failure Probability of Parallel Systems.

Abstract

The problem of obtaining optimal upper confidence limits for systems of independent parallel components is treated. Exact optimal upper confidence limits are obtained for an arbitrary number of components for specified failure combinations. For a small number of failures, bounds on the upper confidence limits are obtained. For an arbitrary number of failures an approximation is given which is justified numerically and asymptotically. The results of this paper are compared with the results given by Buehler (1957) and some numerical examples are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA093636

Entities

People

  • Andrew P. Soms
  • Bernard Harris

Organizations

  • University of Wisconsin–Madison

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  • Confidence Limits
  • Convex Sets
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Fields of Study

  • Mathematics

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  • Statistical inference.