MATH232 - An Introduction to Mathematical Statistics

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Academic Year 2004/2005

An Introduction to Mathematical Statistics
MATH 232 SP

After an introduction to the reasons for studying statistics and a review of probability, the course treats the fundamentals of statistics, both theoretical and applied. After a brief view of exploratory data analysis, we turn to the important question of developing suitable statistical models. For the simple models, we treat in detail bootstrapping, estimators and efficiency, the principle of maximum likelihood, least squares estimates, confidence intervals, and hypothesis testing. The course ends with investigation of the idea of sufficiency and, if time permits, exponential families.

MAJOR READINGS

F.M. Dekking et al, PROBABILITY AND STATISTICS FOR THE 21ST CENTURY; for an electronic copy see the instructor.

EXAMINATIONS AND ASSIGNMENTS

One chapter (approximately 14 pages) per week will be assigned, with four exercises per week to be turned in. Additional, more challenging problems will also be available for the ambitious. Full understanding of each chapter is expected, and will be judged weekly as the course progresses. Students will be informed weekly of their progress and current grade estimate, and required to resubmit incorrect work.

ADDITIONAL REQUIREMENTS and/or COMMENTS

This is the second course in a two-course sequence at the intermediate level, the first course being Math 231, Probability. Although the first course is not formally required for registration, its material is assumed to be known. Both courses use the material listed in Major Readings, available electronically from the instructor at no cost.

A basic understanding of calculus, limit procedures, and of probability is expected. Regular class attendance is essential. The course format will be mixed lecture, discussion, and problem solving in class.

COURSE FORMAT: Lecture/Discussion

REGISTRATION INFORMATION

Level: UGRD Credit: 1 Gen Ed Area Dept: NSM MATH Grading Mode: Graded

Prerequisites: NONE

SECTION 01

Instructor(s): Keane,Michael S.

Times: ..T.R.. 09:00AM-10:20AM; Location: SCIE58;

Reserved Seats: (Total Limit: UNL)

Special Attributes:

Curricular Renewal: Quantitative Reasoning

Links to Web Resources For This Course.

Last Updated on MAR-21-2005