Statistics 309

Introduction to Mathematical Statistics I

Course Information | Office Hours | Schedule | Chapter Summaries | Assignments | Exam Solutions | Final Exam Information | R | Grades | Election |


Course Information

Professor Bret Larget is teaching Statistics 309 during the Fall 2008 semester.

The teaching assistant is Jingjiang (Jack) Peng


Office Hours

PersonHoursLocationPhoneE-Mail
Bret Larget:Mon 11-12pm
Wed 2:00-3:30pm
Thur 1:30-3:00pm
MSC 1250A262-7979brlarget@wisc.edu
Jing Jiang (Jack) Peng:Tue 11:30am - 1:30pm MSC 1275B 262-1577peng@stat.wisc.edu


Course Schedule

DayDateTopicTextExtras
MSept. 1Labor Day  
WSept. 3IntroductionChapter 1Notes
Plots
FSept. 5Properties of Probability ModelsChapter 1 
MSept. 8Combinatorial ProbabilityChapter 1 
WSept. 10Combinatorial ProbabilityChapter 1Assignment 1 due
Extra Problems
FSept. 12Combinatorial ProbabilityChapter 1 
MSept. 15Conditional Probability and IndependenceChapter 1 
WSept. 17Conditional Probability and IndependenceChapter 1Assignment 2 due
FSept. 19Random VariablesChapter 2Note on the Longest Run of Heads
MSept. 22DistributionsChapter 2 
WSept. 24Discrete DistributionsChapter 2Assignment 3 due
FSept. 26Discrete DistributionsChapter 2 
MSept. 29Continuous DistributionsChapter 2Extra Problems
Solutions
WOct. 1Continuous DistributionsChapter 2Assignment 4 due
FOct. 3Exams 1A and 1B
(cover Chapter 1)
  
MOct. 6Cumulative Distribution FunctionsChapter 2 
WOct. 8One-dimensional Change of VariableChapter 2Assignment 5 due
FOct. 10One-dimensional Change of Variable
Joint Distributions
Chapter 2 
MOct. 13Joint DistributionsChapter 2 
WOct. 15Joint Distributions
Conditioning and Independence
Chapter 2Assignment 6 due
FOct. 17Conditioning and Independence
Multidimensional Change of Variable
Chapter 2 
MOct. 20SimulationChapter 2 
WOct. 22Expectation of Discrete Random VariablesChapter 3Assignment 7 due
FOct. 24Exams 2A and 2B
(cover Chapter 2)
 Chapter 2 Summary
MOct. 27Expectation of Random VariablesChapter 3 
WOct. 29Expectation of Random VariablesChapter 3Assignment 8 due
Extra Problems
Extra Problems Solutions
FOct. 31Variance, Covariance, and CorrelationChapter 3 
MNov. 3Election SpecialChapter 3election.R
polls2008.txt
states2008.txt
totalInfo.txt
Summary by State
WNov. 5Generating FunctionsChapter 3Assignment 9 due
FNov. 7Conditional ExpectationChapter 3 
MNov. 10InequalitiesChapter 3 
WNov. 12Sampling DistributionsChapter 4Assignment 10 due
FNov. 14Exams 2C and 3A
(cover Chapters 2 and 3)
 Chapter 3 Summary
MNov. 17Convergence in Probability
Convergence with Probability 1
Chapter 4 
WNov. 19Convergence in DistributionChapter 4Assignment 11 due
FNov. 21Monte CarloChapter 4 
MNov. 24Normal Distribution TheoryChapter 4 
WNov. 26Simple Random WalkChapter 11Assignment 12 due
FNov. 28Thanksgiving Break  
MDec. 1Markov ChainsChapter 11 
WDec. 3Markov ChainsChapter 11Assignment 13 due
FDec. 5Exam 3B and 4A
(cover Chapters 3 and 4)
  
MDec. 8Markov ChainsChapter 11 
WDec. 10ProblemsChapter 11Assignment 14 due
Extra Problems (corrected)
FDec. 12Exams 4B and 11A
(cover Chapters 4 and 11)
  
SDec. 20Final Exam PeriodReplacement Exams 

Chapter Summaries

Summary
Chapter 2 Summary
Chapter 3 Summary
Chapter 4 Summary

Homework Assignments

AssignmentDate GivenDate DueExtrasSolutions
Assignment #1 September 3 September 10 Problem 9 (Exercise 1.3.6) is postponed until Assignment #2. Solution #1
Assignment #2
Assignment #2 (revised)
September 9 September 17 Problems 8-10 are postponed until Assignment #3. Solution #2
Assignment #3 September 17 September 24   Solution #3
Assignment #4 September 25 October 1   Solution #4
Assignment #5 (corrected) October 2 October 8   Solution #5
Assignment #6 October 8 October 15   Solution #6
Assignment #7 (corrected)
Assignment #7 (revised)
October 16 October 23 Hint Solution #7
Assignment #8 October 23 October 29 R Installation
R Probability Distributions
Solution #8
Assignment #9
Assignment #9 (revised and corrected)
October 30 November 5   Solution #9
Assignment #10 November 6 November 12   Solution #10
Assignment #11 November 14 November 19   Solution #11
Assignment #12 November 20 November 26   Solution #12
Assignment #13 November 25 December 3   Solution #13
Assignment #14 December 3 December 10   Solution #14


Exam Solutions

ExamDate GivenSolutions
Exam 1A October 3 Solution
Exam 1B October 3 Solution
Exam 2A October 24 Solution
Exam 2B October 24 Solution
Exam 2A-Makeup November 3 Solution
Exam 2C November 14 Solution
Exam 3A November 14 Solution
Exam 3B December 5 Solution
Exam 4A December 5 Solution
Exam 4B December 12 Solution
Exam 11A December 12 Solution
Final Exams December 20 Exams

Final Exam Information

The final exam period is scheduled on Saturday, December 20.

The exam is 7:45 - 9:45 A.M. in Psychology 107.
There are ten exams available. Scores on these exams can replace scores on exams during the semester from the same chapter. There is no penalty for scoring lower.

Election Information

File Contents
election.R R code for summarizing poll information
and simulating the 2008 presidential election
polls2008.txt All SurveyUSA and Rasmussen polls since September 1, 2008
states2008.txt State information
totalInfo.txt Combined poll data by state
Summary by State Graphical summaries of polls
and posterior distribution of election probabilities by state

Last modified: November 4, 2008

Bret Larget, brlarget@wisc.edu