# Math Help - invariance property of MLE's?

1. ## invariance property of MLE's?

Can someone provide a plain English explanation of how this property of maximum likelihood estimators works? I have a limited number of examples but not enough to determine exactly how it works? HELP please.

2. ## Re: invariance property of MLE's?

suppose you have an MLE $\hat{\theta}$ of some parameter $\theta$

Then let $\mu=f(\theta)$

The MLE of $\mu$ is given by $\hat{\mu}=f(\hat{\theta})$

I don't know how to express it any simpler.