Statistics 110: Probability is one of the premier probability courses available online, taught by Joe Blitzstein, Professor of the Practice in Statistics at Harvard University. The course has seen significant growth since its inception in 2006, from 80 to over 300 students annually. It provides comprehensive lecture videos, review materials, and over 250 practice problems with detailed solutions.
Course Highlights:
- Basics: Sample spaces and events, conditioning, Bayes' Theorem
- Random Variables and Their Distributions: Distributions, moment generating functions, expectation, variance, covariance, correlation, conditional expectation
- Univariate Distributions: Normal, t, Binomial, Negative Binomial, Poisson, Beta, Gamma
- Multivariate Distributions: Joint, conditional, and marginal distributions, independence, transformations, Multinomial, Multivariate Normal
- Limit Theorems: Law of large numbers, central limit theorem
- Markov Chains: Transition probabilities, stationary distributions, reversibility, convergence
Prerequisites: Single variable calculus, familiarity with matrices
Benefits:
- Comprehensive understanding of probability and its applications
- Useful for statistics, science, engineering, economics, finance, and everyday life
- Accessible online with a wealth of resources for self-study
Location : Online, Worldwide
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