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arXiv · 2209.14567

Maximum likelihood estimation of the Weibull distribution with reduced bias

Enes Makalic·Daniel F. Schmidt
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Abstract

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.

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Enes Makalic, Daniel F. Schmidt. 2023-02-09. Maximum likelihood estimation of the Weibull distribution with reduced bias. https://doi.org/10.1007/s11222-023-10236-0

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