# MATH 5312: Mathematical Statistics I Fall 2017

## Announcement

The Midterm 2 practice exam has been posted. The solution will be posted 11/15.

The Midterm 1 is scheduled on 10/9, and the Midterm 2 is scheduled on 11/20.

## Course Schedule

The instructor reserves the right to adjust this schedule in any way that serves the educational needs of the students enrolled in this course.

Week1 8/28 Introduction
Week2 8/30 Probability set function HMC 1.2-1.3
Week2 9/4 No class
Week3 9/6 Conditional probability and independence HMC 1.4
Week3 9/11 Random variables, distribution functions HMC 1.5 HW 1 (SOLN) - Due 9/18 in class
Week4 9/13 Discrete/continuous random variables HMC 1.6-7
Week4 9/18 Expectation HMC 1.8 HW 2 (SOLN) - Due 9/25 in class
Week5 9/20 Moment generating function HMC 1.9
Week5 9/25 Important inequalities HMC 1.10 HW 3 (SOLN) - Due 10/2 in class
Week6 9/27 Bivariate random variables HMC 2.1
Week6 10/2 Transformation of bivariate random variables HMC 2.2 HW 4 (SOLN) - Due 10/5 by 5pm
Week7 10/4 Conditional distribution/expectation, correlation coefficient HMC 2.3-4 Practice exam (SOLN)
Week7 10/9 Midterm 1   Midterm 1
Week8 10/11 Independenct random variables HMC 2.5 HW 5 (SOLN) - Due 10/18 in class
Week8 10/16 Multivariate random variables HMC 2.6,8
Week9 10/18 Binomial distribution HMC 3.1 HW 6 (SOLN) - Due 10/25 in class
Week9 10/23 Poisson distribution HMC 3.2
Week10 10/25 $$\Gamma$$, $$\chi^{2}$$, and $$\beta$$ distributions HMC 3.3 HW 7 - Due 11/1 in class
Week10 10/30 Normal distribution HMC 3.4
Week11 11/1 Multivariate normal distribution HMC 3.5 HW 8 (SOLN) - Due 11/8 in class
Week11 11/6 t/F-distribution HMC 3.6
Week12 11/8 Sampling and statistics HMC 4.1 HW 9 (SOLN) - Due 11/15 in class
Week12 11/13 confidence intervals HMC 4.2
Week13 11/15 Order statistics HMC 4.4 HW 10 - Due 11/27 in class
Week13 11/20 Midterm 2   Practice exam (SOLN)
Week14 11/22 Hypothesis testing HMC 4.5
Week14 11/27 Convergence in probability HMC 5.1 Final HW - Due 12/8 by 5pm
Week15 11/29 Convergence in distribution HMC 5.2
Week15 12/4 Delta method HMC 5.2.2
Week16 12/6 Central limit theorem HMC 5.3
Week16 12/15 Final exam   2-4:30pm, PKH 105

## Exams

Exams will be closed book, closed note, and open calculators. Calculators may not be shared on exams. Cell phone calculators are not permitted on exams. A single page (on US letter size paper), hand-written cheat-sheet is permitted for each exam.