Mathematical Theory of Statistics

**Lecturer:** Prof. Roe Goodman

**Office:** Hill Center 428

**URL:**
www.math.rutgers.edu/~goodman

**Telephone Number:** (732) 445-2390 ext. 3071

**Office Hours:** Tuesday & Thursday 2:00 - 3:00 PM (other times by
appointment)

**e-mail:** goodman [at] math [dot] rutgers [dot] edu

**Textbook:**
*John E. Freund's Mathematical Statistics with Applications*,
Seventh Edition, by Miller and Miller,

Pearson/Prentice-Hall (ISBN 0-13-142706-7).

This course develops the basic mathematical theory of statistics: sampling distributions, parameter estimation, confidence intervals, hypothesis testing, and linear regression and correlation. After a rapid presentation of chapters 5 and 6 of the text, the course covers chapters 8 and 10-14 in detail. This course has a theoretical focus; it does not emphasize statistical recipes or data analysis (you can learn these useful tools in several undergraduate courses in the statistics department). Rather, it teaches how to apply probability theory to obtain fundamental statistical methodologies. It serves as partial preparation for the actuarial exams in statistics.

Back to Math 481 main course page

Here is the

syllabus
with homework assignments.

You will need some version of a graphing calculator to do some of the homework
problems. There are also free web sites that host statistics calculators, such
as

**Important:** Obtaining a numerical value for answers in the homework is
important, but in your homework writeups you must justify the theoretical
procedures in detail and show how you get the results.

- Introductory Linear Algebra (01:640:250) and
- either
- Mathematical Theory of Probability (01:640:477)

- Multivariable Calculus (01:640:251) and
- Theory of Probability (01:960:381)

**Credit restrictions:** You cannot take this class for credit
if you have already received credit for Theory of Statistics (01:960:382).

- Exam #1 (Thursday, February 26): 100 pts
- Exam #2 (Thursday, April 9): 100 pts
- Final Exam (Wednesday, May 13): 200 pts
- Collected homework: 100 pts

**Makeup policy:**
It is assumed that students will take the examinations as scheduled. Makeup
exams will only be given to students who have **documented** medical
excuses.

- Students are expected to follow the Rutgers Standards of Academic Integrity on the homework assignments and exams in the course.

Prof. Roe Goodman (goodman at math dot rutgers dot edu) / Revised January 10, 2009