Normal Distribution Maximum Likelihood Estimators and Estimates MLE

[@BoerCommander]

0:00 Introduction and Motivation
2:35 Random Sampling Example
3:27 Estimating the mean and variance
3:50 Deriving the MLE
7:46 Log-Likelihood Function
9:06 Partial Derivatives
11:34 MLE of Population Mean
11:53 Deriving MLE of Variance
15:34 MLE of Population Variance

[@nick_math4150]

So, if data follow different distribution, the mean is given with other function from that x=Σxi/n?

[@BoerCommander]

@@nick_math4150 @Nick Mathianakis Greetings Nick, the sample mean of your data is what you have written here. The sample mean will always use this formula. This is if you meant that your denominator (n) is the number of items in your sample.

[@emidoremi2767]

thank you sir!