Moment Generating Functions Courses and Certifications

Steve Brunton

The Moment Generating Function

Discover how moment generating functions connect probability densities to Taylor series expansions, with examples using Poisson, normal, and exponential distributions.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Professor Knudson

Moment Generating Functions

1 review

Explore moment generating functions in-depth with Professor Knudson's comprehensive 8-part video series, covering theory and applications in probability and statistics.

• YouTube
• 30 minutes
• On-Demand
• Free Video

statisticsmatt

Characteristic, Moment Generating, Factorial Generating Functions

Explore generating functions in probability theory, including characteristic, moment, and factorial, with applications to various distributions and statistical problems.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Probability and Statistics II: Random Variables – Great Expectations to Bell Curves

Explore discrete and continuous random variables, their properties, and applications. Learn about joint variables, independence, and correlation. Practice with R for statistical analysis.

• edX
• 4 weeks, 6-12 hours a week
• On-Demand
• Free Online Course (Audit)

Microcredential

Probability/Random Variables

Explore probability concepts and random variables, enhancing modeling skills for real-world applications. Learn about discrete and continuous variables, expected values, and joint distributions using R statistical package.

• edX
• 7 weeks, 6-11 hours a week
• On-Demand
• $498.00
• 2 courses

Probability: Distribution Models & Continuous Random Variables

Learn about probability distribution models, including normal distribution, and continuous random variables to prepare for a career in information and data science.

• edX
• 6 weeks, 4-6 hours a week
• On-Demand
• Free Online Course (Audit)

Univariate continuous distribution theory

2 ratings at OpenLearn

This free course looks at a number of the basic properties of statistical models. Section 1 is concerned with the distributions of continuous random variables which are described by their ...

• OpenLearn
• 10 hours
• On-Demand
• Free Certificate

Hausdorff Center for Mathematics

A Quantification of the Fourth Moment Theorem for Cyclotomic Generating Functions

Quantitative normal approximation for random variables with real or cyclotomic polynomial generating functions, using Stein-Tikhomirov method. Unified approach for both cases.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Probability Theory with Actuarial Applications

Master probability theory fundamentals and actuarial applications through rigorous training in random variables, distributions, and insurance modeling for Exam P preparation.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Statistics 110 - Probability

1 review

Comprehensive introduction to probability theory, covering fundamental concepts, distributions, and applications. Ideal for understanding statistics, science, and randomness in various fields.

• YouTube
• 1 day 3 hours
• On-Demand
• Free Video

Steve Brunton

Proof of the Central Limit Theorem

Discover the mathematical proof of the Central Limit Theorem using moment generating functions, exploring why this fundamental probability result holds true through rigorous analysis.

• YouTube
• 26 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Fundamentals of Heavy-tails: Properties and Emergence - Lecture 5

Explore heavy-tailed distributions: properties, emergence, and applications in probability theory. Gain insights into advanced stochastic processes and their mathematical foundations.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Moments for Bivariate Random Variables

Explore the concept of moments for bivariate random variables in this concise mathematical statistics lecture.

• YouTube
• 29 minutes
• On-Demand
• Free Video

statisticsmatt

Statistical Theory

Explore advanced statistical concepts, proofs, and applications using R, covering topics from probability distributions to matrix properties and confidence intervals.

• YouTube
• 5 hours
• On-Demand
• Free Video

Probability Distributions - Mean, Variance, MGF Derivation

Comprehensive video series on deriving mean, variance, and moment generating functions for various probability distributions, covering normal, binomial, Poisson, and more.

• YouTube
• 8 hours
• On-Demand
• Free Video