Moment Generating Functions
Explore moment generating functions in-depth with Professor Knudson's comprehensive 8-part video series, covering theory and applications in probability and statistics.
Statistics 110 - Probability
Comprehensive introduction to probability theory, covering fundamental concepts, distributions, and applications. Ideal for understanding statistics, science, and randomness in various fields.
Statistical Theory
Explore advanced statistical concepts, proofs, and applications using R, covering topics from probability distributions to matrix properties and confidence intervals.
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.
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.
Binomial Distribution
Learn about binomial distribution's M.G.F, C.G.F, and its approximation to Poisson using various methods including Stirling's formula and characteristic functions.
Gamma Distribution
Learn about the Gamma distribution's properties, including its mean, variance, and moment generating function, as well as related gamma function properties and proofs.
Normal Distribution
Explore the normal distribution, including coin toss probabilities, moment generating functions, and calculating areas under the curve.
Probability for Actuarial Science
Comprehensive preparation for actuarial probability exams, covering key concepts from set theory to multivariate distributions with practical examples and visual explanations.
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.