Tables for Obtaining Weibull Confidence Bounds and Tolerance Bounds Based on Best Linear Invariant Estimates of Parameters of the Extreme-Value Distribution
- 1 February 1973
- journal article
- research article
- Published by JSTOR in Technometrics
- Vol. 15 (1) , 87
- https://doi.org/10.2307/1266827
Abstract
Tables are given for obtaining confidence bounds for the two parameters and the 90th, 95th, and 99th percentiles of the two-parameter Weibull or extreme-value distribut.ions. The tables are based on best linear invariant estimlators of extreme-value location and scale parameters and apply to samples of size n, n = 3(1)16, which may be censored at the mth smallest sample observation, m = 3(1)%. More extensive tables for samples of size n, n = 3(1)25, with censoring from m = 3(1)n, may be found in [12]. Discussion is given concerning other methods of obtaining confidence and tolerance bounds for these distributions, properties of the estimators on which the bounds are based and computational procedures used.Keywords
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