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Modeling Overlapping Events
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Probabilistic Linear Regression
Explores probabilistic linear regression, covering joint and conditional probability, ridge regression, and overfitting mitigation.
Conditional Probability: Prediction Decomposition
Explores conditional probability, Bayes' theorem, and prediction decomposition for informed decision-making.
Probability and Statistics: Fundamentals
Covers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
Conditional Density and Expectation
Explores conditional density, expectations, and independence of random variables with practical examples.
Probability and Statistics
Introduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
Probability Theory: Midterm Solutions
Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.
Probability and Statistics: Independence and Conditional Probability
Explores independence and conditional probability in probability and statistics, with examples illustrating the concepts and practical applications.
Continuous Random Variables
Explores continuous random variables, density functions, joint variables, independence, and conditional densities.
Probability Distributions: Discrete and Continuous
Covers discrete and continuous probability distributions, including joint and conditional probabilities.
Probability and Statistics
Explores joint random variables, conditional density, and independence in probability and statistics.