MLE Example: Fitting a Normal Distribution πŸ“Š

Learn how Maximum Likelihood Estimation fits a normal distribution using data, demonstrated at the University of Washington.

MLE Example: Fitting a Normal Distribution πŸ“Š
Steve Brunton
10.2K views β€’ Nov 28, 2025
MLE Example: Fitting a Normal Distribution πŸ“Š

About this video

Here we demontrate how maximum likelihood estimation works by fitting a normal distribution with data.

This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company

%%% CHAPTERS %%%
00:00 Intro
01:18 Formulating the Joint PDF
04:22 Calculating the Log Joint PDF
06:18 Calculating the Log Likelihood
08:17 Deriving the Optimizer
10:51 Solving for mu
12:42 Solving for sigma
14:05 Summary & Outro

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10.2K

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Duration

15:53

Published

Nov 28, 2025

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