UP | HOME

MATH 5312: Mathematical Statistics I
Fall 2017

Table of Contents


Announcement

The solutions to final HW and practice exam have been posted.

Course Syllabus

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.

Week Date Topics Reading Notes
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 Transformation of bivariate random variables HMC 2.2 Practice exam (SOLN)
Week7 10/9 Midterm 1   Midterm 1
Week8 10/11 Conditional distribution/expectation, correlation coefficient HMC 2.3-4 HW 5 (SOLN) - Due 10/18 in class
Week8 10/16 Independent random variables HMC 2.5  
Week9 10/18 Multivariate random variables HMC 2.6,8 HW 6 (SOLN) - Due 10/25 in class
Week9 10/23 Binomial distribution HMC 3.1  
Week10 10/25 Poisson distribution HMC 3.2 HW 7 - Due 11/1 in class
Week10 10/30 \(\Gamma\), \(\chi^{2}\), and \(\beta\) distributions HMC 3.3  
Week11 11/1 \(\Gamma\), \(\chi^{2}\), and \(\beta\) distributions HMC 3.3 HW 8 (SOLN) - Due 11/8 in class
Week11 11/6 Normal distribution HMC 3.4  
Week12 11/8 Multivariate normal distribution HMC 3.5 HW 9 (SOLN) - Due 11/15 in class
Week12 11/13 Multivariate normal distribution HMC 3.5  
Week13 11/15 t/F-distribution HMC 3.6 HW 10 (SOLN) - Due 11/27 in class
Week13 11/20 Midterm 2   Practice exam (SOLN), Midterm 2
Week14 11/22 Hypothesis testing HMC 4.1  
Week14 11/27 Confidence intervals HMC 4.2-3 Final HW (SOLN) - Due 12/8 by 5pm
Week15 11/29 Order statistics HMC 4.4  
Week15 12/4 Hypothesis testing HMC 4.5-6  
Week16 12/6 Review   Final practice exam (SOLN)
Week16 12/15 Final exam   2-4:30pm, PKH 105