640:481 Mathematical Statistics,
Mathematical Statistics for Spring 2008
- Text: I. Miller and M. Miller, John E. Freund's
Mathematical Statistics with Applications, Pearson/Prentice Hall,
- Syllabus Outline: Basic mathematical theory of
statistics: sampling distributions, point estimation, interval
and confidence intervals, hypothesis testing, regression, ANOVA,
elementary nonparametric tests. The course will cover
almost all the material in chapters
8, 10, 11, 12, 13, and 14 of the text and selected topics
in chapters 15 and 16.
- Class Meetings: Tuesday and Thursday, 3:20-4:40 PM, SEC
220, Busch Campus
- Prerequisites: The prerequisites for this course are
linear algebra (Math 250) and either the Math Department probability
course 477, or both multivariable calculus (Math 251) and the
Department probability course 960:381. This course and 960:3812 may
both be taken for credit. The probability prerequisite is
a serious one. Students are assume to understand the theory of
random variables---probability distribution and density functions,
expectation, joint distributions of random variables--and to know
the basic discrete and continuous distributions---Bernoulli,
binomial, geometric, Poisson, uniform, exponential, and normal.
The student should also understand conditioning and Bayes' rule
and should have seen the Central Limit Theorem and
Lecture by lecture syllabus and homework assignments:
This link is a lecture by lecture record of
topics covered, readings assigned, and problems assigned, and links
to additional material posted on the web. It will
be updated as the course progresses.
The instructor is Dan Ocone.
Office Hours: Monday, 2-3; Wednesday, 2-3PM in Hill Center, Room 518.
Homework, Tests, Grading
The graded work for this course consists of assigned problems to
be handed in (100 points), two in-class midterm exams (100 points
and a final (200 points). Grades will be based on the sum total of
Homework is important in this course. Problem
sets will be assigned weekly, and students will be required
to hand selected problems in. Late homework is not accepted.
responsible for all problems assigned, not just the problems required
to be handed in. By doing the homework problems, students will learn
the concepts and techniques necessary for doing well on the exams.
Students may work together on homework, but each student should
write up his or her solutions independently.
Copying another's solution is considered to be academic dishonesty;
besides, it does the student no good in learning the material.
Homeworks should be prepared neatly. The calculations and derivations
on the way the final answer must be shown, and they should be
supported by explanations using grammatically correct
sentences. Final answers with no explanation shall not be
Exams are closed book.