Elements of Mathematical Statistics and Probability Theory (Spring 2020)

Stat 345, UNM, Department of Mathematics and Statistics, 2020

Class Time (DSH 225): MWF 9 - 9.50 am (Zoom meeting id on learn)
Office Hours (SMLC 319): F 3.30 pm Anastasiia (Zoom id on learn)
Discussion/Tutoring (DSH 326): W 2.30 pm Hasan, F 2 pm Jared (Zoom ids on learn)
Syllabus    
Piazza link: piazza.com/unm/spring2020/stat345
Recorded Kaltura class videos, Zoom meetings ids, HWs submission : UNM Learn

Tentative Course Schedule

WeekChaptersAdditional comments
1, Jan 20 - Jan 24Introduction. Counting
lecture 1    
lecture 2    
homework 1 (due Feb 5th)    
2, Jan 27 - Jan 31Probability rules. Conditional Probability
lectures 3 and 4    
basic_R_code    
birthday_problem_R_code    
matching_problem_R_code    
same_R_code_in_txt_file    
lecture 5 (until Bayes’)    
3, Feb 3 - Feb 7Bayes’ theorem. Independence. Random Variables and Distributions
lecture 6 (after Bayes’)    
lecture 7    
lecture 8    
4, Feb 10 - Feb 14Discrete Distributions
lecture 9    
homework 1 solution    
lecture 10    
homework 2 (due Feb 24th)    
lecture 11    
binomial_R_code    
5, Feb 17 - Feb 2Discrete Probability Distributions
lecture 12    
lecture 13    
6, Feb 24 - Feb 28Continuous Random Variables and Probability Distributions
lecture 14    
homework 2 solution    
lecture 15    
homework 3 (due March 6th)    
standard_normal_table    
7, Mar 2 - Mar 6Continuous Probability Distributions
lecture 16    
lecture 17    
homework 3 solution    
8, Mar 9 - Mar 13ReviewMidterm, March 11th
midterm practice exam    
table of common distributions    
9, Mar 16 - Mar 20 Spring break
10, Mar 23 - Mar 27 Spring break
11, Mar 30 - Apr 3Midterm reviewSpring break
homework 4 part one (due April 12th)    
12, Apr 6 - Apr 10Joint Probability Distributions
lecture 18    
lecture 19     
lecture 20    
13, Apr 13 - Apr 17Descriptive Statistics. Sampling Distributions. CLT 
lecture 21    
homework 4 solution    
homework 5     
lecture 22    
lecture 23    
14, Apr 20 - Apr 24Point Estimation. Method of Moments. Method of Maximum Likelihood
lecture 24    
homework 5 solution    
homework 6     
15, Apr 27 - May 1Confidence Intervals. Hypothesis testing
lecture 25    
lecture 26    
lecture26_examples    
16, May 4 - May 7Hypothesis testing. Review
lecture 27    
homework 6 solution    
homework 7     
lecture 28    
review topics    
review    
17, May 11 - May 15Final, May 13th
homework 7 solution