Schedule of lectures

STAT 341: Winter 2010

THIS SCHEDULE IS PRELIMINARY, AND SUBJECT TO CHANGE
INFORMATION WILL BE UPDATED THROUGH THE QUARTER
DO NOT EXPECT ALL LINKS TO BE WORKING YET.
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LM denotes the class text, Larsen and Marx, 4 th. edition. Homeworks Exx refer to the Questions that are in each section of each Chapter. (Note that not all the questions are at the ends of sections.) Homework questions will be listed on the schedule, but check the Homeworks page for hints and additional details.

Date
Topic and Book sections
References and remarks
Homeworks/ Possible Exx.
WEEK 1
Mon Jan 4 1. Introduction to Statistics and Probability Models: LM Ch.1
EAT to take class
Web page for STAT 340: Fall 2009
Introduction to Genetics
Notes for week 1: Jan 4,8.
Wed Jan 6 Review of discrete distributions, and their means and variances. Nick to take class
Homework 1: due Jan 13.
LM: 2.2.22, 2.4.11, 2.4.28, 2.5.25, 3.2.5, 3.2.19.
Fri, Jan 8 2. Estimators and estimates of parameters LM 5.1
3. Estimators based on n-samples; Binomial, Poisson and Uniform Examples.
WEEK 2
Mon, Jan 11 Nick:: Review of continuous distributions, and their means and variances. Notes for week 2 (posted Jan 7): Jan 13,15.
EAT Tues Office hour: 1.30-2.30 this week only.
Wed Jan 13 4. Method of Moments LM 5.2 (last bit)
Uniform, Exponential and Normal examples.
Homework 1 (see 1/06) is due.
Homework 2: due 1/20
LM: 3.5.4, 3.5.7, 3.6.9, 3.6.12, 5.4.9, 5.4.18
Fri Jan 15 5. Properties of estimators; LM 5.4
Unbiasedness and MSE.
6. Examples of estimators and their properties.
Homework 1 solns (posted Jan 15)
Notes for week 3: Jan 20,22 (posted Jan 12)
WEEK 3
Monday, Jan 18 MLK Holiday NO CLASSES.
Notes for week 3: Jan 20,22 (posted Jan 12)
Notes sheet for midterm 1 (posted Jan 15; revised Jan 22) Info for midterm 1 (posted Jan 22)
Wed Jan 20 Working examples on unbiasedness and mse Homework 2 (see 1/13) is due.
Homework 3: due 1/27
LM 5.2.16: 5.2.23: 5.4.2; 5.4.7; 5.4.10; 5.7.2
Fri Jan 22 7. Asymptotic unbiasedness and consistency LM 5.7
8. Examples of consistency and other properties
Homework 2 solns (posted Jan 22)
Extra possible exercises (posted Jan 22)
WEEK 4
Mon Jan 25 More examples: unbiasedness, asymptotic unbiasedness, variance, mean square error, consistency. Nick Basch section
Wed Jan 27 9. Moment generating functions: LM 3.12
(Note: Jan 27 notes are last page of "week-3" -- see under Jan 15)
Homework 3 due (see 1/20); Homework 3 solns (posted Jan 27)
Homework 4: due 2/05
LM: 4.2.10, 4.2.26, 4.3.10, 3.12.5 (b,c,d), 3.12.14, 4.6.1
Notes for week 4: Jan 29, Feb 3 (posted Jan 20)
Fri Jan 29 10. Gamma distributions LM 4.6
Midterm review
Notes sheet for midterm 1 (posted Jan 15; revised Jan 22) Info for midterm 1 (posted Jan 22)
EAT regular Friday office hour: 2-3.15
WEEK 5
Mon Feb 1 Midterm-1 , and Solutions (Posted Feb 3) Nick Basch to proctor
EAT away; No Tues office hour
Wed Feb 3 11. Sums of squares of independent Normal r.v.s;
Chi-squared distributions ; LM P. 474
(Notes are last page of week-4 notes).
Notes for week 5: Fri Feb 5
Homework 5: due 2/10; this is a 1/2-hwk
LM: 3.7.11, 3.7.22, 3.7.44
Note: EAT special THURS office hour; 3.30-5 p.m.
Fri Feb 5 12. Joint pmf/pdf, cdf LM 3.7
13. Independent r.v.s, Likelihood and log-likelihood LM5.2
Note: FRIDAY: Homework 4 due. (see 01/27).
Note: Midterm solutions are posted -- see Feb 1
EAT regular Fri office hour; 2.00-3.15;
WEEK 6
Mon Feb 8 Examples, joint densities and likelihood Notes for week 6: Feb 10,12; (posted Feb 5)
Homework 4 solns
Wed Feb 10 14. Maximum likelihood estimation LM5.2 Mini-homework 5 due; see Feb 3 posted.
Homework 6: due 2/17;
LM 5.2.4, 5.2.6, 5.2.9, 5.2.11, 5.2.12, 5.2.14
PDF of these questions
Return of midterm and hwk-4. Summary of midterm scores
Fri Feb 12 15. Conditional pmf/pdf LM 3.11
16. Sufficiency: Factorization criterion LM 5.6
WEEK 7
Monday Feb 15 Presidents' Day NO CLASSES
Homework 5 solns
Notes for week 7: Feb 17,19; (posted Feb 9)
Wed Feb 17 17. Examples of sufficient statistics etc. Notes sheet for midterm 2 (posted Feb 12)
Homework 6 due -- see Feb 10 posted.
Homework 7: due Friday 2/26;
LM 5.6.1, 5.6.2, 5.6.5, 5.5.2, 5.5.3, 5.5.4
PDF of these questions
Fri Feb 19 Minumum variance estimators, CRLB (LM 5.5)
Large-sample properties of MLE: unbiased and minumum variance.
Nick Basch to teach
Nick's notes and examples solutions
Homework 6 solutions
WEEK 8
Mon Feb 22 Midterm-2 review
Notes sheet for midterm 2 (posted Feb 12)
Info for midterm 2 (posted Feb 21)
EAT to teach
Notes for week 8: Feb 26; (posted Feb 21)
Wed Feb 24 Midterm -2 and Solutions Nick Basch to proctor;
Homework 8: due Wed 3/3;
LM 5.3.1, 5.3.10, 5.3.23. PDF of these questions
Fri Feb 26 18, 19: Interval estimation: LM 5.3 Notes for week 8: Feb 26; (posted Feb 21)
Homework 7 due: see 2/17 posted.
WEEK 9
Mon Mar 1 Examples of interval estimation. Nick to do student evals
Notes for week 9
Hwk 7 solutions
Wed Mar 3 20. Bayesian inference: Prior and posterior distributions. LM 5.8
Homework 8 due (half-homework): see 2/24 posted.
Midterm 2 Solutions; Scores summary;
Homework 9: due Friday 3/12;
LM 5.8 Nos, 1,4*, 5*, 6,7,8 (*: see hwk page)
Fri Mar 5 21. Conjugate prior distributions.
Hwk 8 solutions
Morita 2006 Stat 341 final (posted Mar 1)
EAT student evals
WEEK 10
Mon Mar 8 Examples of prior and posterior distributions. Nick.
Wed Mar 10 22. Bayesian point and interval estimation
Posterior mean as an estimate: examples
Posterior median as an estimate: examples
Notes sheet for Final (final version?)
EAT Office Hour: Thurs 3-4.15 (NOT Friday this week)
Fri Mar 12 Final review for final:
Homework 9 due Friday; Solutions

Morita 2006 Stat 341 final (posted Mar 1)
EXAMS WEEK
Mon/Tues Mar 15/16 Morita 2006 Stat 341 final (posted Mar 1)
Notes sheet for Final (Posted Mar 9)
EAT Extra Office hours: MONDAY 3-4:15, TUES 2-3:15.
Wed
March 17
Final Exam: 2:30-4:20: LOW 102
(with 2 typos corrected).
Official UW time and place for this exam

Material postponed to 342:
The mgf of a Normal distribution; hence linear combinations of independent Normals are Normal;
Correlation; Normals are independent iff correlation =0 -- can be done using bivariate mgf;
Independence of X-bar and S-squared. Hence distribution of S-sqd
Normal and t-distributions LM 7.2,7.3
Minimizing mse for estimation of sigma^2: optimal is S^2/(n+2) -- cf Uniform example done in 341.