Probability and Random Variables

Probability and Random Variables

Dive into a comprehensive course on probability theory and random variables, covering fundamental concepts from axiomatic definitions to advanced topics like characteristic functions. Explore combinatorial methods, conditional probability, and product spaces before delving into random variables, distribution functions, and multivariate distributions. Learn about expected values, moments, and functions of random variables through a series of lectures spanning 14 weeks. Progress from basic probability axioms to complex topics such as the Central Limit Theorem, Bernoulli processes, and Poisson processes, gaining a solid foundation in probability and statistics along the way.