Math 131A: Introduction to Probability and Statistics (English)

Course Information

Introductory course covering basic principles of probability and statistical inference. Topics covered in this course: Axiomatic definition of probability, random variables, probability distributions, expectation.

Mathematics Dept. | Physical Sciences Sch. | University of California, Irvine
Keywords: Mathematics,Probability,statistical inference,random variables,probability distributions,expected values,limit theorems,joint distribution
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Author:
Michael C. Cranston Ph.D.
Title:
Professor
Department:
Mathematics

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Math 131A: Introduction to Probability and Statistics by Michael C. Cranston is licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License.

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Lectures

Week 1

Math 131A. Lecture 01. Introduction to Probability and Statistics: Probability (English)
Math 131A. Lecture 02. Introduction to Probability and Statistics: Probability (English)
Math 131A. Lecture 03. Introduction to Probability and Statistics: Random Variables (English)

Week 2

Math 131A. Lecture 04. Introduction to Probability and Statistics: Joint Distribution (English)
Math 131A. Lecture 05. Introduction to Probability and Statistics: Expected Values (English)
Math 131A. Lecture 06. Introduction to Probability and Statistics: Joint Distribution (English)

Week 3

Math 131A. Lecture 07. Introduction to Probability and Statistics: Limit Theorems (English)
Math 131A. Lecture 08: Introduction to Probability and Statistics: Distributions from normal Distribution (English)
Math 131A. Lecture 09. Introduction to Probability and Statistics: Conditional Probability (English)

Week 4

Math 131A. Lecture 10. Introduction to Probability and Statistics: Survey Sampling (English)
Math 131A. Lecture 11. Introduction to Probability and Statistics: Estimation of Parameters (English)
Math 131A. Lecture 12. Introduction to Probability and Statistics: Fitting of Probability Distributions (English)

Week 5

Math 131A. Lecture 13. Introduction to Probability and Statistics: Hypothesis Testing (English)
Math 131A. Lecture 14. Introduction to Probability and Statistics: Random Sampling (English)
Math 131A. Lecture 15. Introduction to Probability and Statistics: Simple Random Sampling (English)

Week 6

Math 131A. Lecture 16. Introduction to Probability and Statistics: Final Review (English)