A least squares procedure for parameter estimation of the three-parameter Weibull distribution based on the doubly type-2 censored samples are proposed. The estimate of the shape parameter can be obtained by minimizing a function of only one parameter and the estimates of the location and scale parameters can be obtained by two closed-formed formulas, by using the proposed method. The proposed method has advantages compared to the conventional estimators: (1) the bias of the estimators can be smaller for small samples, (2) the estimates can be obtained with higher probability, (3) the estimates are much easier to obtain computationally.
['Hideki Nagatsuka']
A Study of Estimation for the Three-Parameter Weibull Distribution Based on Doubly Type-II Censored Data Using a Least Squares Method