STAT 512 (Mathematical Statistics)

### Instructor

David Hitchcock, associate professor of statistics

### Syllabus

Syllabus: (Word document) or (pdf document)

### Office Hours -- Spring 2014

MWF 1:00-2:00 p.m., Thursday 9:40-10:40 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 10:50 am - 11:40 am, Close/Hipp Building, Room 450 (the business school building)

### 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) Functions of random variables, order statistics, sampling distributions, central limit theorem, quality of estimators, interval estimation, sufficient statistics, minimum-variance unbiased estimator, maximum likelihood, large-sample theory, introduction to hypothesis testing.

### 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 Date Problems to be Graded on Effort and Correctness Problems to be Graded Solely on Effort Friday, January 31 6.2(a,b), 6.9(a)[clearly show work!], 6.20, 6.24, 6.28 6.4(a), 6.9(b), 6.10(a), 6.26(a) Wednesday, February 5 6.40[use result in Example 6.11, p.319], 6.56, 6.68, 6.72, 6.74(b) 6.58(a), 6.70(a,b,c), 6.76(a,b) Thursday, February 27 by 3:00 p.m. (or can submit it in class Feb. 26) 7.10(a), 7.19, 7.20(a), 7.37[explain why in each case], 7.42(a), 7.52 7.12, 7.20(b), 7.36(a)[use Table 7], 7.38[explain why in each case], 7.44, 7.56, 7.70(a,b) Friday, March 21 8.6(a), 8.10(a), 8.41[show work!], 8.56, 8.60, 8.66(b,c) 8.6(b), 8.10(b,c), 8.13, 8.40, 8.48 Tuesday, April 1 by 3:00 p.m. (or can submit it in class March 31) 8.70, 8.82, 8.102, 10.2(a,c), 10.4(a,c), 10.45(a,b)[show work!], 10.46, 10.49(a,b)[show work!] 8.74, 8.90, 8.97, 10.5[show work!] Wednesday, April 9 9.6, 9.7[show work!], 9.40, 9.42, 9.59[show work!] 9.2, 9.8(b), 9.44, 9.58, 9.60(a,e)[use results in (b)-(d)] Wednesday, April 23 9.70, 9.84(a), 9.96, 9.97[show work!], 9.20 9.72, 9.78, 9.82, 9.84(b,d), 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

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)

These problems may be useful problems for practicing the Sec. 9.8 material and the Sec. 7.5 material:
9.98, 9.99, 9.100, 7.81, 7.82

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

### Formula Sheets

• Test 1 Formula Sheet (You do NOT have to bring this to the test. A copy will be provided to you with your test.)
• For Test 2 (Spring 2014), only the "Common Distributions Sheets" (in the back cover of the textbook) will be provided with the exam.
ALSO: Tables 4,5,6,7 (the z, t, chi-square, and F tables) will be provided with the exam. Know how to use them!
• Test 3 Formula Sheet (You do NOT have to bring this to the test. A copy will be provided to you with your test.)

### Exams

• Exam 1: Wednesday, February 12 Monday, February 17
• Exam 2: Wednesday, March 5
• Exam 3: Wednesday, April 16
• Final Exam: Monday, May 5 - 9:00 a.m.