An Introduction to Mathematical Statistics|
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.
||Gen Ed Area Dept:
|Course Format: Lecture/Discussion||Grading Mode: Graded|
||Fulfills a Major Requirement for: (CADS)(CIS)(COMP)(DATA-MN)(IDEA-MN)(MATH)(NS&B)
||Past Enrollment Probability: Not Available
|Major Readings: Wesleyan RJ Julia Bookstore
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 , 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.
|Instructor(s): Keane,Michael S. Times: ..T.R.. 10:30AM-11:50AM; Location: SCIE58; |
|Total Enrollment Limit: UNL||SR major: UNL||JR major: UNL|| || |
|Seats Available: UNL||GRAD: UNL||SR non-major: UNL||JR non-major: UNL||SO: UNL||FR: UNL|
|Drop/Add Enrollment Requests|
|Total Submitted Requests: 4||1st Ranked: 0||2nd Ranked: 0||3rd Ranked: 0||4th Ranked: 0||Unranked: 4|