Lecture
Probability and Statistics
Related lectures (63)
Estimation and Confidence Intervals
Explores bias, variance, and confidence intervals in parameter estimation using examples and distributions.
Multivariate Normal Distribution
Covers the multivariate normal distribution, moment-generating function, and combinatorics.
Convergence in Probability
Explores convergence in probability, concentration inequalities, laws of large numbers, and properties of distributions.
Generalization Error
Explores tail bounds, information bounds, and maximal leakage in the context of generalization error.
Central Limit Theorem: Proof and Applications
Explores the proof and applications of the Central Limit Theorem, emphasizing independence and random variable distributions.
Constructing Real Numbers: Decimal Expansion
Covers constructing real numbers through decimal expansion and the concept of discrete and continuous random variables.
Property Testing
Covers the concept of property testing using statistical methods.
Information Measures: Entropy and Information Theory
Explains how entropy measures uncertainty in a system based on possible outcomes.
Hoeffding's Inequality
Explores Hoeffding's inequality and its applications in probability theory and statistical analysis.
Counting: Permutations, Combinations, and Poker Hands
Covers permutations, combinations, and poker hands calculation.