Simplified Efficient Point and Interval Estimators for Weibull Parameters

Abstract

In this paper are tabulated values which allow one to obtain, without lengthy tables of weights, simplified linear estimates of Weibull or extreme-value distribution parameters which approximate best linear invariant, best linear unbiased, or maximumlikelihood estimates. Asymptotic distributional results proved herein, together with these tabulated values, make it possible to obtain confidence bounds for both parameters from censored or uncensored samples of size n, with n = 20(5)60. Other tabulations and related results are given by Bain (1972) and Engelhardt, and Bain (1973, 1974).