AN EXACT ASYMPTOTICALLY EFFICIENT CONFIDENCE BOUND FOR RELIABILITY IN THE CASE OF THE WEIBULL DISTRIBUTION.
Technical rept. no. 75,
STANFORD UNIV CALIF
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This report presents a simple method for obtaining exact lower confidence bounds for reliabilities tail probabilities for items whose life times follow a Weibull distribution where both the shape and scale parameters are unknown. These confidence bounds are obtained both for the censored and non-censored cases and are asymptotically efficient. They are exact even for small sample sizes in that they attain the desired confidence level precisely. The case of an additional unknown location or shift parameter is also discussed in the large sample case. Tables are given of exact and asymptotic lower confidence bounds for the reliability for samples sizes of 10, 15, 20, 30, 50 and 100 for various censoring fractions. Author