Catalog Description: |
Mathematical theory underlying probability, statistical estimation, and hypothesis testing: random variables and their distributions, distributions of functions of random variables, sampling distributions, limiting distributions, and the Central Limit Theorem. (Offered fall semester, odd years.)
Prerequisites: |
MATH 211 Calculus III and STAT 291 Statistics for Mathematical Sciences I
- Familiarity with topics in probability: axioms and properties, counting techniques, density and distribution functions, expectation, conditional probability, independence, and correlation.
- Familiarity with common discrete and continuous distributions.
- Understanding of the Central Limit Theorem and its applications.
- Familiarity with techniques of mathematical proofs.
- Ability to differentiate and integrate functions of several variables.
Required Course Materials: |
R. Hogg, J. McKean, and A. Craig, Introduction to Mathematical Statistics, 7^{th} edition, Pearson, 2013 (ISBN 9780321795434)
Prerequisite course material: J. Devore, Probability and Statistics for Engineering and the Sciences, 8^{th} edition, Cengage, 2012 (ISBN: 9780538733526)
Course Coordinator: |
L. Marlin Eby, Ph.D., Professor of Mathematics and Statistics
Course Audience: |
Course Objectives: |
Topics: |
Reviewed: October 2013 (textbook); August 2011