Maximum Likelihood Estimation- An Introduction

The purpose of the maximum likelihood estimation (MLE) is to find or tune the parameters of the distribution  in a way to explain the data  OR  how to learn the distribution/ model parameters from this data?

The purpose of fitting distribution to this data is to find the parameters of the distribution such that using those parameters we can extract more data of similar nature.

Maximum likelihood will look for the values of parameters that maximizes the likelihood function that is the value of parameters that says that this data is most likely to belong this distribution.

In this course, students will learn about the fundamental concept of Maximum likelihood Estimation, Parameters of Maximum Likelihood Estimation, Derivations of the Parameters, Solved Example on Maximum Likelihood Estimation. By the end of this course, students will be able to derive the parameters from the distribution. For brevity, we are only covering Gaussian distribution in this course since  Gaussian is the most commonly used distribution.

Following is the breakdown of the course.

1. Events, outcomes and probability.

2. Concept of Maximum Likelihood Estimation.

3. Parameters of Maximum Likelihood Estimation.

4. Calculations of Parameters.

5. Multivariate Gaussian Distribution.

6. Derivation of Parameters.

7. Numerical Example on MLE.

8. Dealing with arrays in Python.

9. Plotting and visualization.