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YouTube

Parameter Estimation and Fitting Distributions

Steve Brunton via YouTube

Overview

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Learn parameter estimation in statistics through a practical 24-minute video tutorial that demonstrates both classic and modern machine learning approaches using radioactive decay as a foundational example. Explore the fundamental concepts of parameter estimation starting with traditional statistical methods before transitioning to contemporary ML techniques. Follow along with a hands-on code demonstration analyzing Americium 241 decay data to see parameter estimation applied in practice. Examine key distribution fitting questions and understand the mathematical formulation of parameter estimation problems. Master two essential estimation methods: Maximum Likelihood Estimation for finding parameters that best explain observed data, and the Method of Moments for parameter estimation using sample statistics. Gain practical insights into when and how to apply these different approaches for fitting distributions to real-world data sets.

Syllabus

00:00 Intro
01:03 The Classic Approach
03:25 The Modern ML Approach
07:00 Code Demo: Americium 241 Decay
13:04 Further Distribution Fitting Questions
14:22 Formulation of Parameter Estimation
16:39 Maximum Likelyhood Estimation
20:37 Method of Moments
22:41 Outro

Taught by

Steve Brunton

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