Approximate Distributional Results Based on the Maximum Likelihood Estimators for the Weibull Distribution
作者:
BainLee J.,
EngelhardtMax,
期刊:
Journal of Quality Technology
(Taylor Available online 1986)
卷期:
Volume 18,
issue 3
页码: 174-181
ISSN:0022-4065
年代: 1986
DOI:10.1080/00224065.1986.11979006
出版商: Taylor&Francis
关键词: Confidence Intervals;Extreme-value Distribution;Maximum Likelihood;Reliability;Tolerance Limits;Weibull Distribution
数据来源: Taylor
摘要:
Simple approximations which are useful for constructing confidence intervals for the parameters, tolerance limits and confidence limits on reliability, based on maximum likelihood estimators, are studied in this paper. A new approximation for the distribution of the maximum likelihood estimator of the shape parameter is proposed, which works equally well for both complete and censored cases. Small-sample properties of some asymptotic results for the scale parameter, tolerance limits and reliability are also considered. The accuracy of these approximations is studied by comparing them to some existing Monte Carlo simulation results available in the literature.
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