Example of The Moment Generating Function @Eigensteve

Uploaded July 2025 | Updated September 2026, 2 weeks ago

Here we compute the moment generating function for a simple Poisson distribution. This example demonstrates the mechanics of how this might be computed for other distributions.

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

%%% CHAPTERS %%%
00:00 Intro
01:27 Proof of MGF relation to Moments
05:55 Example Moment Derivations: Poisson
09:23 Outro

Example of The Moment Generating Function

Physics Informed Machine Learning: High Level Overview of AI and ML in Science and Engineering

Differential Equations with Forcing: Method of Undetermined Coefficients

Gentle Introduction to Modeling with Matrices and Vectors: A Probabilistic Weather Model

Numerical Integration of Chaotic Dynamics: Uncertainty Propagation & Vectorized Integration

Deriving Forward Euler and Backward/Implicit Euler Integration Schemes for Differential Equations

New Advances in Artificial Intelligence and Machine Learning

Deep Reinforcement Learning for Fluid Dynamics and Control

The Connection Between the Exponential Distribution and the Poisson Process