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Math 131A - Introduction to Probability and Statistics

Math 131A: Introduction to Probability and Statistics (Summer 2013, UC Irvine). Instructor: Professor Michael Cranston. Math 131A is an introductory course covering basic principles of probability and statistics inference. Topics covered in the course include axiomatic definition of probability, random variables, joint distribution, expected values, limit theorems, estimation of parameters, probability distributions, survey sampling, and hypothesis testing.

Lecture 01 - Probability
Lecture 02 - Probability
Lecture 03 - Random Variables
Lecture 04 - Joint Distribution
Lecture 05 - Expected Values
Lecture 06 - Joint Distribution
Lecture 07 - Limit Theorems
Lecture 08 - Distributions from normal Distribution
Lecture 09 - Conditional Probability
Lecture 10 - Survey Sampling
Lecture 11 - Estimation of Parameters
Lecture 12 - Fitting of Probability Distributions
Lecture 13 - Hypothesis Testing
Lecture 14 - Random Sampling
Lecture 15 - Simple Random Sampling
Lecture 16 - Final Review