Probability and Statistics

Contents



Probability and Statistics for Artificial Intelligence

Basic Concepts of Probability Theory

Discrete and Continuous Random Variables

Probability Distributions and Density Functions

Conditional Probability and Independence

Bayes' Theorem and Bayesian Inference

Expectation, Variance, and Moments

Joint and Marginal Distributions

Covariance and Correlation

Limit Theorems (Law of Large Numbers and Central Limit Theorem)

Statistical Inference and Estimation

Hypothesis Testing and Confidence Intervals

Regression Analysis and Correlation Models

Analysis of Variance (ANOVA)

Dimensionality Reduction and Principal Component Analysis (PCA)

Time Series Analysis and Forecasting

Random Processes and Stationarity

Markov Chains and Markov Decision Processes

Hidden Markov Models (HMMs)

Monte Carlo Methods and Sampling Techniques

Statistical Learning and Model Evaluation


Statistics Codes https://github.com/jiwook021/Algorithms/tree/master/Statistics

Podcasts

Equations Equations



Lecture Series

Probability Theory MIT OpenCourseware | John Tsitsiklis



Probability and Statistics by Harvard



Probability and Random Process by Iain