Confidence limits for Weibull parameters estimated using linear least squares analysis

Confidence limits (at selected levels of 68.27%, 90%, 95% and 99%) for unbiased estimation of Weibull parameters obtained using linear least squares (LLS) analysis were investigated in this paper. A Monte Carlo procedure was used to obtain probability distributions for unbiased estimates of Weibull modulus, m, and Weibull scale parameter, So, as a function of total specimen number, N (10 <= N <= 200), and m (1 <= m <= 25). Inspection of the probability distributions indicated that confidence limits form depended only on N whereas those for S-o depended on both N and m. Whilst the determination of confidence limits for In proved to be relatively straightforward, the respective values for S-o were obtained by fitting an empirical equation to the S-o. probability distributions approximated by a Gaussian curve. Example values of m and S-o confidence limits for selected N have been presented in this work. (C) 2017 Elsevier Ltd. All rights reserved.