Description: UCI Math 131A is an introductory course covering basic principles of probability and statistical inference. Axiomatic definition of probability, random variables, probability distributions, expectation.
License: Creative Commons CCBYSA
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Required attribution: Cranston, Michael C. Math 131A (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/math_131a_in....html. [Access date]. License: Creative Commons AttributionShareAlike 3.0 United States License. (creativecommons.org/licenses/by...n_US)
Lessons 

1) Lecture 1. ProbabilityLec 01. Introduction to Probability and Statistics: Probability Instructor: Michael C. Cranston, Ph.D. Recorded on June 24, 2013442 views

2) Lecture 2. ProbabilityLec 02. Introduction to Probability and Statistics: Probability Instructor: Michael C. Cranston, Ph.D. Recorded on June 26, 2013434 views

3) Lecture 3. Random VariablesLec 03. Introduction to Probability and Statistics: Random Variables Instructor: Michael C. Cranston, Ph.D. Recorded on June 28, 2013438 views

4) Lecture 4. Joint DistributionLec 04. Introduction to Probability and Statistics: Joint Distribution Instructor: Michael C. Cranston, Ph.D. Recorded on July 1, 2013453 views

5) Lecture 5. Expected ValuesLec 05. Introduction to Probability and Statistics: Expected Values Instructor: Michael C. Cranston, Ph.D. Recorded on July 3, 2013411 views

6) Lecture 6. Joint DistributionLec 06. Introduction to Probability and Statistics: Joint Distribution Instructor: Michael C. Cranston, Ph.D. Recorded on July 5, 2013394 views

7) Lecture 7. Limit TheoremsLec 07. Introduction to Probability and Statistics: Limit Theorems Instructor: Michael C. Cranston, Ph.D. Recorded on July 8, 2013397 views

8) Lecture 8: Distributions from normal DistributionLec 08. Introduction to Probability and Statistics: Distributions from normal Distribution Instructor: Michael C. Cranston, Ph.D. Recorded on July 10, 2013480 views

9) Lecture 9. Conditional ProbabilityLec 09. Introduction to Probability and Statistics: Conditional Probability Instructor: Michael C. Cranston, Ph.D. Recorded on July 12, 2013499 views

10) Lecture 10. Survey SamplingLec 10. Introduction to Probability and Statistics: Survey Sampling Instructor: Michael C. Cranston, Ph.D. Recorded on July 15, 2013425 views

11) Lecture 11. Estimation of ParametersLec 11. Introduction to Probability and Statistics: Estimation of Parameters Instructor: Michael C. Cranston, Ph.D. Recorded on July 17, 2013445 views

12) Lecture 12. Fitting of Probability DistributionsLec 12. Introduction to Probability and Statistics: Fitting of Probability Distributions Instructor: Michael C. Cranston, Ph.D. Recorded on July 19, 2013370 views

13) Lecture 13. Hypothesis TestingLec 13. Introduction to Probability and Statistics: Hypothesis Testing Instructor: Michael C. Cranston, Ph.D. Recorded on July 22, 2013398 views

14) Lecture 14. Random SamplingLec 14. Introduction to Probability and Statistics: Random Sampling Instructor: Michael C. Cranston, Ph.D. Recorded on July 25, 2013405 views

15) Lecture 15. Simple Random SamplingLec 15. Introduction to Probability and Statistics: Simple Random Sampling Instructor: Michael C. Cranston, Ph.D. Recorded on July 26, 2013423 views

16) Lecture 16. Final ReviewLec 16. Introduction to Probability and Statistics: Lecture 16. Final Review Instructor: Michael C. Cranston, Ph.D. Recorded on July 29, 2013427 views

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