# Maximum likelihood estimation of the Weibull distribution with reduced bias

arXiv: https://arxiv.org/abs/2209.14567 · HTML: https://mlsanity.com/paper/2209.14567/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 Sep 2022.

## Built on by (most cited first, 1 of 1)

- [Beyond Expert Rankings: Contrast Calibration for Mixed-Precision MoE Quantization](https://mlsanity.com/paper/2610.20353/) (2026)

## Abstract (arXiv)

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.