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Professor Knudson

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Moment Generating Functions
1 rating

A focused eight-part treatment of moment generating functions in probability.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
Combinatorics
1 rating

Learn to count ordered and unordered arrangements using permutations, multinomial coefficients, and combinatorial probability, including a poker example.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
Randomization-Based Hypothesis Testing

Learn randomization-based hypothesis testing in under an hour with Professor Christina Knudson.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
Bootstrap Confidence Intervals

Learn how bootstrap resampling builds confidence intervals for means, mean differences, and regression coefficients.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
Maximum Likelihood Estimation

Learn maximum likelihood estimation through worked binomial, Poisson, and uniform distribution examples.
- YouTube
- 30 minutes
- Self-Paced
- Free Video
Multiple Random Variables - Joint and Conditional Distributions

Explore joint and conditional distributions for discrete and continuous random variables, including independence, expectations, covariance, and variance.
- YouTube
- 1 hour 30 minutes
- Self-Paced
- Free Video
Continuous Random Variables

Learn continuous random variables through probability density functions, distribution functions, expectations, variance, and foundational continuous distributions.
- YouTube
- 1 hour 30 minutes
- Self-Paced
- Free Video
Discrete Random Variables

Learn to analyze discrete random variables through probability functions, expected values, variance, and binomial, hypergeometric, and Poisson distributions.
- YouTube
- 1 hour 30 minutes
- Self-Paced
- Free Video
Calculus

A compact single-variable calculus course connecting integration techniques with convergence, power series, Taylor series, and limit evaluation.
- YouTube
- 3 hours 30 minutes
- Self-Paced
- Free Video
Linear Regression Essentials

Develops simple and multiple linear regression using matrix notation, covering estimator properties, coefficient inference, mean squared error, R-squared, and adjusted R-squared.
- YouTube
- 30 minutes
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