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Related lectures (30)
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Monte-Carlo Integration
Covers Monte-Carlo integration, simulation, and transforming draws from different distributions.
Central Limit Theorem: Illustration and Applications
Explores the Central Limit Theorem and its statistical implications in random variables.
Probability Distributions: Basics and Properties
Covers the basics of probability distributions, including mean, variance, and properties of random variables.
Estimators and Confidence Intervals
Explores bias, variance, unbiased estimators, and confidence intervals in statistical estimation.
Probability and Statistics
Explores joint random variables, conditional density, and independence in probability and statistics.
Variance and Covariance: Properties and Examples
Explores variance, covariance, and practical applications in statistics and probability.
Common Distributions: Moments and MGFs
Covers common distributions, moment generating functions, and covariance matrices in statistics for data science.
Moment Generating Function and Multivariate Normal Distribution
Explores moment generating functions and multivariate normal distributions in probability and statistics.
Statistical Inference: Random Variables
Covers random variables, probability functions, expectations, variances, and joint distributions.
Large Deviations Principle: Cramer's Theorem
Covers Cramer's theorem and Hoeffding's inequality in the context of the large deviations principle.