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Journal Article

On Evaluation of Warranty Assurance when Life has a Weibull Distribution

N. R. Mann and S. C. Saunders
Biometrika
Vol. 56, No. 3 (Dec., 1969), pp. 615-625
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2334669
Stable URL: http://www.jstor.org/stable/2334669
Page Count: 11

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Topics: Mathematical integrals, Expiration, Quadratic approximation, Recursion, Random variables
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Evaluation of Warranty Assurance when Life has a Weibull Distribution
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Abstract

A two-parameter Weibull model with neither parameter known is assumed for failure time. A value is specified for the probability that no failures, in a lot of identically distributed components yet to be manufactured, will occur before the expiration of the warranty period. The warranty period, which must satisfy an assurance criterion at the prescribed probability level regardless of the true parameter values within the distribution, is to be calculated from a small preliminary sample of life lengths. An expression for the warranty period is derived as a function of the ordered observations and is determined only by the lot size, the sample size and the prescribed assurance level.

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