This paper describes nonlinear regression estimators for the three-parameter Weibull distribution. Issues relating to the bias and invariance associated with these estimators are examined numerically using Monte Carlo simulation methods. The estimators were used to extract parameters from sintered silicon nitride failure data. A reliability analysis was performed on a turbopump blade utilizing the three-parameter Weibull distribution and the estimates from the sintered silicon nitride data.
Duffy, Stephen F.; Powers, Lynn M.; and Starlinger, Alois, "Reliability Analysis of Structural Ceramic Components Using a Three-parameter Weibull Distribution" (1992). Civil and Environmental Engineering Faculty Publications. 3.