Statistics 110: Probability
Harvard, , Prof. Joe Blitzstein
Updated On 02 Feb, 19
Harvard, , Prof. Joe Blitzstein
Updated On 02 Feb, 19
This course is an introduction to probability as a language and set of tools for understanding statistics, science, risk, and randomness. The ideas and methods are useful in statistics, science, engineering, economics, finance, and everyday life. Topics include the following. 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.
4.1 ( 11 )
We introduce the Beta distribution and show how it is the conjugate prior for the Binomial, and discuss Bayes billiards. Stephen Blyth then gives examples of how probability is used in finance.
Sam
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
Dembe
March 29, 2019
Great course. Thank you very much.