Probability Theory: Basics

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Related lectures (30)

Page 3 of 3

Introduces key statistical concepts like probability, random variables, and correlation, with examples and explanations.

Probability and Statistics

Covers fundamental concepts in probability and statistics, emphasizing data analysis techniques and statistical modeling.

Probability and Statistics for SIC

Delves into probability, statistics, random experiments, and statistical inference, with practical examples and insights.

Independence and Covariance

Explores independence and covariance between random variables, discussing their implications and calculation methods.

Convergence in Law: Theorem and Proof

Explores convergence in law for random variables, including Kolmogorov's theorem and proofs based on probability lemmas.

Hydrologic Design: Probability & Statistics

Explores the application of probability and statistics in hydrologic design, covering topics such as return period, risk assessment, and empirical data analysis.

Probability and Statistics

Covers moments, variance, and expected values in probability and statistics, including the distribution of tokens in a product.

Normal Distribution: Properties and Calculations

Covers the normal distribution, including its properties and calculations.

Probability Theory: Midterm Solutions

Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.

Conditional Expectation Properties

Explores conditional expectation properties, including measurability, linearity, and independence of random variables.