Time: Monday, Wednesday, Friday at 12:00 - 12:50 p.m.
Location: Behavioral Sciences Building 337
Instructor: Jie Yang, SEO 513
Office Hours: Monday, Wednesday, Friday at 1:00 - 2:00 p.m.
Teaching Assistant: Yue Yu
Office Hours: Thursday at 8:00 - 10:00 a.m., Math Learning Center (SEO 430)
Textbook: R. V. Hogg, J. W. McKean, A. T. Craig,
Introduction to Mathematical
Statistics, 6th edition, 2005
Content: Probability spaces,
random variables and their distributions, conditional distribution
and stochastic independence, special distributions, sampling
distributions, limit theorems
Prerequisite: Grade of C or better in MATH 210
Homework:
Turn in every Wednesday before class;
half of the grade counts for completeness;
half of the grade counts for correctness of one selected problem
Midterms: September 30th and November 11th, Friday, 12:00 p.m. - 12:50 p.m.
Final Exam: December 6th, Tuesday, 8:00-10:00 a.m.
Grading: Homework 10%, midterms 25% each, final exam 40%
Grading Scale: 95% A , 85% B , 75% C , 65% D
Format of All Exams: Each exam is based on the homework and the examples discussed in class. The last class session before each exam is a review session. Please prepare any questions that you may have.
No makeup exam will be given without a valid excuse.
| WEEK | SECTIONS | BRIEF DESCRIPTION |
| 08/22 - 08/26 | 1.1; 1.2; 1.3 | Introduction; Set Theory; Probability Set Function |
| 08/29 - 09/02 | 1.3; 1.4; 1.4 | Probability Set Function; Conditional Probability and Independence |
| 09/05 - 09/09 | Holiday; 1.5; 1.5 | Random Variables |
| 09/12 - 09/16 | 1.6; 1.7; 1.8 | Discrete Random Variables; Continuous Random Variables; Expectation of a Random Variable |
| 09/19 - 09/23 | 1.9; 1.10; 2.1 | Special Expectations; Important Inequalities; Distributions of Two Random Variables |
| 09/26 - 09/30 | 2.1; Review; Midterm-1 | Distributions of Two Random Variables |
| 10/03 - 10/07 | 2.2; 2.2; 2.3 | Transformation: Bivariate Random Variables; Conditional Distributions and Expectations |
| 10/10 - 10/14 | 2.3; 2.4; 2.5 | Conditional Distributions and Expectations; Correlation Coefficient; Independent Random Variables |
| 10/17 - 10/21 | 2.6; 2.7; 2.7 | Extension to Several Random Variables; Transformations: Random Vectors |
| 10/24 - 10/28 | 3.1; 3.2; 3.3 | Binomial and Related Distributions; Poisson Distribution; Gamma, Chi-Squared and Beta Distributions |
| 10/31 - 11/04 | 3.4; 3.5; 3.6 | Normal Distribution; Multivariate Normal Distribution; t and F-Distributions |
| 11/07 - 11/11 | 3.7; Review; Midterm-2 | Mixture Distributions |
| 11/14 - 11/18 | 4.1; 4.2; 4.2 | Expectations of Functions; Convergence in Probability |
| 11/21 - 11/25 | 4.3; 4.3; Holiday | Convergence in Distribution |
| 11/28 - 12/02 | 4.4; 4.4; Review | Central Limit Theorem |
| 12/05 - 12/09 | Final Exam | Final Exam |