Thread: Maximum likelihodd estimators

I have two 2 dimension sets {x}1 and (x}2 where x is a vector.

My first question is the sets i have say {x}1 =

{

(0.555,−2.601), ........}


Is this just x = 0.555 and y = - 2.601?

Assume that can both are drawn from 2-dim Gaussian distributions

with true means μ1, μ2, and true covariance matrices 1 and 2respectively.

My next question is how do i find the maximum likelihood estimator for the true means and for the cobvariance matricies?

Thanks Adam

In my notes i have something about a d dimensional gaussian, is this anything to do with it?

I have calculated the means and covariance matrices.

How do i find the maximum likelihood estimator of these?