Accession Number:

ADA114495

Title:

Recent Advances in Statistical Methods for System Reliability Using Bernoulli Sampling of Components

Descriptive Note:

Technical summary rept.

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Harris, Bernard
• Soms, Andrew P.

Report Date:

1981-12-01

Pagination or Media Count:

24.0

Abstract:

The paper provides a survey of results in statistical inference in systems reliability using Bernoulli sampling of individual components. Particular attention is given to the notion of Buehler optimality and its implementation in such problems. Recent results of the authors on Buehler optimal confidence bounds on the reliability of series and parallel systems are discussed. For series systems, these results employ a generalization of an inequality of Sudakov. For parallel systems, Buehler optimal bounds are obtained for small numbers of failures using the notion of Schur concavity. Estimates of the optimal bounds are obtained in those cases for which the property of Schur concavity does not hold.

Descriptors:

• *STATISTICAL INFERENCE
• *RELIABILITY
• *SYSTEMS ANALYSIS
• METHODOLOGY
• FAILURE
• CONFIDENCE LIMITS
• BERNOULLI DISTRIBUTION
• SAMPLING
• SEQUENCES
• STATISTICAL SAMPLES
• ESTIMATES

Subject Categories:

• Statistics and Probability
• Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE