How can we get the equations for calculating mean, convariace, mixing probability value for Gaussian Mixture Model with EM algorithm?

38 Views Asked by Bumbble Comm At 26 Mar 2026 - 1:01

I am currently learning EM algorithm and get some trouble with understanding EM algorithm for Gaussian Mixture Model.

In the text book, it is written as the screenshot: (the link below)
https://i.stack.imgur.com/0y5tn.png

This is what I am wondering: How can we get these three equations for calculating mean, convariance and mixing probability value? Thanks in advance.