Maximum likelihood estimation of the Weibull distribution with reduced bias

09/29/2022

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by   Enes Makalic, et al.

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In this short note we derive a new bias-adjusted maximum likelihood estimate for the shape parameter of the Weibull distribution with complete data and type I censored data. The proposed estimate of the shape parameter is significantly less biased and more efficient than the corresponding maximum likelihood estimate, while being simple to compute using existing maximum likelihood software procedures.