Spring Semester, 2002

Course: M5080-2, Statistical Inference I

(meets W, 6:00pm to 9:00pm, JTB 120)

Instructor: Dr. A.D.Roberts, JWB 312, 581-6710;


Office Hours: W, 4:40pm to 5:30pm; also at other times by appointment

Text: Introduction to Probability and Mathematical Statistics, by L Bain and M. Engelhardt (second edition)

Prerequisite:Math 507 or Math 5010


Course Content

This course is the first in a sequence of two that intoduce the mathematical concepts of statistical inference. The topics covered in this course include: distributions of functions of random variables, order statistics, limiting distributions, Central Limit Theorem, sampling distribtuions, methods of point estimation, uniform minimum variance unbiased estimators (UMVUE), concepts of sufficiency and completeness, exponential class, interval estimation (Chapters 6 through 11 in the above text).

Course Grading

Quizzes (lowest two scores dropped) 12%

Midterm Average (3) 48%

Final Examination 40%

Total 100%


A(91-100); A-(85-90); B+(80-84); B(75-79); B-(70-74); C+(65-69); C(60-64); C-(55-59); D+(50-54); D(40-49); D-(25-39); E(0-24)


1.Quizzes: There will be approximately 7-8 quizzes in the form of short fifteen-minute quizzes at the beginning of class or longer take-home quizzes due at the start of class. Quizzes will be based on homework material and class discussions. In computing the quiz average, the lowest two quiz scores will be dropped. Since the lowest two quiz scores will be dropped, no makeups will be given on quizzes.

2. Midterms: There will be three midterms, 60 minutes in length, tentatively scheduled for: 1/30, 3/20, 4/17. Since this is a three-hour class meeting once a week, it is important to note that on the night a midterm is given, new course material will be covered during the rest of the class session.

3. The Final Examination is comprehensive and is scheduled for Wednesday, May 8th, 6:00pm to 8:00pm.

4. The Americans with Disabilities Act requires that reasonable accommodations be made for students with physical, sensory, cognitive, systemic, learning, and psychiatric disabilities. Please contact me at the beginning of the semester to discuss any such accomodations for the course.

6. Withdrawals: Please note that the last day to withdraw from the class is Friday, March 15, 2002.

Homework (Subject to change

Ch 6: 1,2,3,4,10,13,14,15,16,17,18,21,23,25,29,31,35
Ch 7: 1,2,3,5,7,9,10,11,12,13,15,16,17,18,19,20,22,27,28
Ch 8: 1,2,3,4,5,8,9,10,12,13,16,17,18,24,26
Ch 9: 1,2,3,5,6,7,8,9,10,13,15,17,19,21,22,23,24,26,28,31,32,33,34,35,36,38,39
Ch 10: 1,2,3,5,6,7,8,10,11,12,17,18,20,21,22,25,30,31
Ch 11: 1,2,3,5,6,7,8,11,12,19,20,24,25,26,30,