Welcome! This course is designed to strengthen your abilities to understand the statistical theory and to help you to be prepared for many other advanced courses offered. At the end of the class, you should be equipped with necessary tools (I hope!) and be able to understand the general theory behind various statistical methods.
Course catalog entry: Bayes and maximum likelihood estimators, sufficient statistics; Rao-Blackwell Theorem, sampling distributions; unbiasedness, completeness and UMVU estimators; efficient estimators, Cramer-Rao inequality; simple robust estimators; UMP-tests; likelihood ratio tests, t-tests and F-tests. PREREQUISITE: MATH 6636.
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Lectures: |
TR: 2:40PM -- 4:05 PM, Dunn Hall 141 |
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Professor |
Lih-Yuan Deng - lihdeng@memphis.edu |
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TA: |
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Office hrs: |
For Prof: TR 9:00-10:30 AM, or by appointment, in Dunn Hall 359, |
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Web page: |
http://www.msci.memphis.edu/~dengl/math7654/ |
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Textbook: |
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“ Statistical Inference, Second Edition”, by George Casella and Roger L. Berger. Publisher: Duxbury.ISBN 0-534-24312-6. |
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Grading: |
Grading:
class participation 15%, two midterm 50% (25% each), final 35% |
| Syllabus: | See class syllabus. |
Final Exam: May 2, 2006 (Tuesday) 1pm-3pm
Handouts:
Homework assigned:
| Chapter | Assigned Problems |
| 1 | 7, 13, 16, 18, 20, 24, 27, 33, 46, 54 |
| 2 | 2, 7, 12, 13, 15, 18, 30, 32, 33, 39 |
| 3 | 7, 8, 12, 13, 14, 16, 19, 24, 33, 46 |
| 4 | 4, 15, 17, 29, 32, 39, 40, 51, 53, 54 |
| 5 | 3, 13, 17, 18, 22, 23, 24, 29, 31, 45 |
| 6 | 2, 3, 5, 9, 11, 15, 19, 20, 24, 27, 30 |
| 7 | 1, 6, 9, 11, 13, 14, 19, 24, 37, 38, 44, 48, 49, 50, 55, 58, 59, 63 |
| 8 | 3, 5, 6, 7, 17, 20, 28, 31, 33, 37, 41, 42 |
| 9 | 4, 6, 17, 25, 34, 35, 37, 48, 57, 59 |
| 10 | |
| 11 | |
| 12 |