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Lower bound on reliability for Weibull distribution when shape parameter is not estimated accuratelyThe mathematical relationships between the shape parameter Beta and estimates of reliability and a life limit lower bound for the two parameter Weibull distribution are investigated. It is shown that under rather general conditions, both the reliability lower bound and the allowable life limit lower bound (often called a tolerance limit) have unique global minimums over a range of Beta. Hence lower bound solutions can be obtained without assuming or estimating Beta. The existence and uniqueness of these lower bounds are proven. Some real data examples are given to show how these lower bounds can be easily established and to demonstrate their practicality. The method developed here has proven to be extremely useful when using the Weibull distribution in analysis of no-failure or few-failures data. The results are applicable not only in the aerospace industry but anywhere that system reliabilities are high.
Document ID
19910002161
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Huang, Zhaofeng
(Rockwell International Corp. Canoga Park, CA, United States)
Porter, Albert A.
(Rockwell International Corp. Canoga Park, CA, United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1990
Subject Category
Statistics And Probability
Report/Patent Number
NAS 1.26:180681
NASA-CR-180681
Accession Number
91N11474
Funding Number(s)
CONTRACT_GRANT: NAS8-40000
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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