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Math 131A: Introduction to Probability and Statistics (Summer 2013, UC Irvine).
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Description
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.
Course content
- Lecture 01 – Probability Unlimited
- Lecture 02 – Probability Unlimited
- Lecture 03 – Random Variables Unlimited
- Lecture 04 – Joint Distribution Unlimited
- Lecture 05 – Expected Values Unlimited
- Lecture 06 – Joint Distribution Unlimited
- Lecture 07 – Limit Theorems Unlimited
- Lecture 08 – Distributions from normal Distribution Unlimited
- Lecture 09 – Conditional Probability Unlimited
- Lecture 10 – Survey Sampling Unlimited
- Lecture 11 – Estimation of Parameters Unlimited
- Lecture 12 – Fitting of Probability Distributions Unlimited
- Lecture 13 – Hypothesis Testing Unlimited
- Lecture 14 – Random Sampling Unlimited
- Lecture 15 – Simple Random Sampling Unlimited
- Lecture 16 – Final Review Unlimited
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