# Does bias in statistics and machine learning mean the same thing?

In statistics, people often talk about unbiased estimators. In machine learning, bias variance trade-off is mentioned all the time.

Does bias in both contexts mean the same thing?

Does an unbiased estimator have a bias for the data it tries to model?

• yes both biases are the same, they mean $\mathbb{E}_\theta[\hat{\theta}]\ne\theta$. – Xi'an Jan 16 '17 at 11:31