STAT 512 (Mathematical Statistics)

Spring 2012

Instructor

David Hitchcock, associate professor of statistics

Syllabus

Syllabus: (Word document) or (pdf document)

Office Hours -- Spring 2012

MWF 10:05-10:40 a.m. and Tues-Thurs 11:00-11:45 a.m. or please feel free to make an appointment to see me at other times.

Office: 209A LeConte College
Phone: 777-5346
E-mail: hitchcock@stat.sc.edu

Class Meeting Time

MWF 9:05AM-9:55AM, LC 210A

Current Textbook

Mathematical Statistics with Applications, 7th edition. (2008), by Wackerly, D., Mendenhall, W., and Scheaffer, R.

Course Description

512—Mathematical Statistics (3) (Prereq: STAT 511 or MATH 511 with a grade of C or higher) Sampling theory, discrete and continuous transformations, t and F distributions, independence of sample mean and S^2; limiting distributions, central limit theorem; quality of estimators, testing statistical hypotheses, confidence intervals, Bayesian estimates.

Purpose:

To provide a strong foundation in mathematical statistics for understanding the concepts and development of statistical methodology, and to prepare students for further study of statistical inference.

Course Notes

You are encouraged to print out these notes ahead of time and bring them to class.

Homework

Note: Problems in the first column will be graded on effort and correctness (1 point for making a decent effort at the problem, 1 point for a correct (or very nearly correct) solution).
Problems in the second column will be graded on effort (1 point for making a decent effort at the problem) and not for correctness,
but you should try to understand how to solve all these problems before test time!

You must write your homework solutions NEATLY. You must present your solutions in the order that the problems are assigned (with the Column 2 problems last).
Handwritten solutions are fine, but if you type solutions, you should use either LaTeX or MS Word's Equation Editor,
since other word processors (like Word without Equation Editor) are not designed for mathematical typing.

Due DateProblems to be Graded on
Effort and Correctness 		Problems to be Graded
Solely on Effort
Wednesday, January 186.2(a,b), 6.9(a)[clearly show work!], 6.20 6.4(a), 6.9(b), 6.10(a)
Friday, January 276.24, 6.28, 6.40[use result in Example 6.11, p.319],
6.56, 6.68		 6.26(a), 6.58(a), 6.70(a,b,c)
Monday, February 136.72, 6.74(b), 7.10(a), 7.19[show work!],
7.20(a)[Use facts about gamma], 7.37[explain why!]		 6.76(a,b), 7.12, 7.20(b), 7.36, 7.38[explain why!]
Wednesday, February 227.42(a), 7.43[show work], 7.52, 7.74(b)[read part (a)], 8.6(a),
8.10(a), 8.26(a)[mimic Examp. 8.2, p. 401]		 7.44, 7.56, 7.80, 8.6(b), 8.10(b,c), 8.13
Wednesday, March 218.41[show work!], 8.56, 8.60, 8.66(b,c), 8.70, 8.82, 8.102 8.40, 8.48, 8.74, 8.90, 8.97
Wednesday, April 410.2(a,c), 10.4(a,c), 10.45[show work!],
10.49[show work!], 10.46, 9.6, 9.40, 9.42		 10.5[show work!], 9.2, 9.8(b), 9.44
Wednesday, April 189.59[show work!], 9.70, 9.96, 9.97[show work!], 9.20
9.58, 9.60(a,e)[use results in (b)-(d)], 9.72, 9.78, 9.82, 9.17
NOTE: It appears that a few of the problem numbers in the "International Edition" of the textbook are switched around from the regular edition.
If you have the international edition, you might want to compare problem numbers with me or with a classmate who has the regular edition to make sure you're doing the problems assigned.
The problem numbers given above reflect the regular 7th edition.

Homework Solutions

Some Additional Practice Problems

These problems may be useful problems for practicing the Sec. 6.7 material on Test 1:
6.73, 6.77(a), 6.81 (answers to these are in the back of the book)

In general, I recommend that you practice lots of problems from the book in preparation for the tests!

R Code for Class Examples

Review Sheets

Formula Sheets

Exam Solutions

Exams