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In this paper, we use the setup proposed by Balakrishnan and Aggarwala (2000) to compute approximate best linear unbiased estimates (ABLUEs) of the location and scale parameters of the Weibull distribution. Further, we derive approximate maximum likelihood estimates (AMLEs) of the location and scale parameters of the Weibull distribution. Finally, we carry out a simulation study to compare between the techniques considered for the estimation.

Estimation of parameters of the Weibull distribution based on progressively censored data