Course Information for Stat 5101
Fall Semester, 2001
Lectures: MWF 1:25-2:15, Vincent 206
Lab: T 1:25-2:15, Vincent 209
- Instructor:
- L. Tierney, 385 Ford Hall 625-7843,
luke@stat.umn.edu
- Office Hours:
- MWF 2:30 - 3:20
- TA:
- Ms. Yu-Min Huang
- Exams:
- Two midterm exams plus final
- Homework:
- Problems listed for each week are due on Monday of
the following week.
- Grading:
- Midterms 40% (20% each), Final 40%, Homework 20%
- Text:
- Probability and Statistics, 2nd edition by DeGroot
Course Procedures
- The prerequisites for this course are advanced calculus
(including Jacobians) and an introduction to linear algebra.
- Some handouts given in class will also be available on the Web
on the course home page, which is available from the Classes
entry of the School of Statistics home page,
http://www.stat.umn.edu
Announcements on course-related matters may also be posted on this
page, so you should check it regularly.
- Homework is an important part of this course. Homework will be
graded primarily on the basis of your explanation of your answer to
a problem. You are expected to turn in all homework on time. Late
homework will be penalized.
- You may find it helpful to work together with other students to
find solutions to the homework problems. There is nothing wrong with
doing so. However, you must write up your solutions on your own. In
particular, you should not look at another student's work before it
is handed in.
- Examinations will consist of problems of roughly the same type
that you have seen in the homework sets. Examinations are closed
book, but you may bring one sheet of notes to the first midterm
exam, two sheets to the second midterm exam, and three to the final
exam. The sheets should be standard
8
×11 paper and
may be written on both sides.
- There will be no makeup exams under any
circumstances. If you have to miss a midterm exam for legitimate
reasons, such as illness confirmed by a written medical excuse, your
total exam grade will be based on the remaining midterm exam. If you
miss both midterm exams for legitimate reasons, then your total exam
grade will be based entirely on the final exam.
- The final exam will cover the material of the entire course.
The final exam is scheduled for Saturday, December 22. By
University regulation, you are required to take the final exam at
the time announced. Only documented illness or a family emergency
are legitimate excuses for missing the final. (Vacations and trips
home are not valid excuses.)
- It is School of Statistics policy only to give an ``I''
(incomplete) grade in cases of extreme hardship. Low homework or
midterm grades are not adequate grounds for an incomplete. If your
circumstances do warrant an incomplete, then you must agree in
writing to the terms for making up the incomplete. If you do not
complete the course in accordance with these terms, your grade will
be changed to an F.
Course Outline
| Day |
Section |
Topic |
Homework |
| Sept. 5 |
1.1 - 1.4 |
Intro. to probability |
1.4: 3,5 |
| 7 |
1.5 - 1.6 |
Axioms |
1.5: 3,5 1.6: 3,7 |
| |
|
|
|
| 10 |
1.7 |
Counting |
1.7: 1,5,9 |
| 12 |
1.8 |
Counting |
1.8: 3,5,9 |
| 14 |
1.9 |
Multinomial |
1,9: 3,5,7 |
| |
|
|
|
| 17 |
1.10 |
Union |
1.10: 1,3,9 |
| 19 |
1.11 - 1.12 |
Independence |
1.11: 5.9 1.13: 9,13 |
| 21 |
2.1 |
Conditional probability |
2.1: 5,7,11 |
| |
|
|
|
| 24 |
2.2 |
Bayes' theorem |
2.2: 1,7,9(a) |
| 26 |
2.4 |
Gambler's ruin |
2.4: 1,3 |
| 28 |
3.1 |
Discrete r.v.'s |
3.1: 1,5,7 |
| |
|
|
|
| Oct. 1 |
3.2 |
Continuous r.v.'s |
3.2: 1,5,7 |
| 3 |
3.3 |
c.d.f. |
3.3: 3,5,7 |
| 5 |
|
Midterm Exam 1 |
|
| |
|
|
|
| 8 |
3.4 |
Bivariate distributions |
3.4: 1,5,7 |
| 10 |
3.5 |
Marginal distributions |
3.5: 1,3,5 |
| 12 |
3.6 |
Conditional distributions |
3.6: 1,7,9 |
| |
|
|
|
| 15 |
3.7 |
Multivariate distributions |
3.7: 1,4 |
| 17 |
3.8 |
Function of r.v. |
3.8: 1,3,7 |
| 19 |
3.9 |
Function of r.v.'s |
3.9: 1,3,13 |
| |
|
|
|
| 22 |
4.1 |
Expectation |
4.1: 1,3,8 |
| 24 |
4.2 |
Properties |
4.2: 3,5,7 |
| 26 |
4.3 |
Variance |
4.3: 1,2,5 |
| |
|
|
|
| 29 |
4.4 |
Moments |
4.4: 5,7,9 |
| 31 |
4.5 |
Mean and Median |
4.5: 1,5,9 |
| Nov. 2 |
4.6 |
Covariance |
4.6: 3,4, 13 |
| |
|
|
|
| 5 |
4.7 |
Conditional expectation |
4.7: 1, 5, 7 |
| 7 |
4.8 |
Sample mean |
4.8: 3, 5, 9 |
| 9 |
|
Midterm Exam 2 |
|
| |
|
|
|
| 12 |
4.9 |
Utility |
4.9: 1, 3, 10 |
| 14 |
5.1 - 5.2 |
Bernoulli and binomial |
5.2: 1, 3, 5 |
| 16 |
5.3 |
Hypergeometric |
5.3: 1, 7, 9 |
| |
|
|
|
| 19 |
5.5 |
Negative binomial |
5.5: 1, 5, 8 |
| 21 |
5.4 |
Poisson |
5.4: 5, 7, 13 |
| 23 |
|
Holiday |
|
| |
|
|
|
| 26 |
5.6 |
Normal |
5.6: 3, 5, 7, 11 |
| 28 |
5.7 |
Central limit theorem |
5.7: 1, 5, 7 |
| 30 |
5.8 |
Continuity correction |
5.8: 1, 5 |
| |
|
|
|
| Dec. 3 |
5.9 |
Gamma |
5.9: 5, 7, 9 |
| 5 |
5.10 |
Beta |
5.10: 1, 3, 7 |
| 7 |
5.11 |
Multinomial |
5.11: 1, 3, 5 |
| |
|
|
|
| 10 |
5.12 |
Bivariate normal |
5.12: 1, 3, 9 |
| 12 |
6.1 - 6.2 |
Inference |
6.2: 5, 6 |
| 14 |
|
Review |
|
FINAL EXAM: Saturday, December 22, 10:30-12:30
Luke Tierney
2001-08-31