Type of Credit: Required
Credit(s)
Number of Students
The course aims to provide the fundamental and useful concepts and methods of probability theory and mathematical statistics. Upon completion, students are expected to derive and apply the theoretical results and carry out some standard statistical procedures.
Topics include: estimation methods, confidence intervals, and hypothesis testing procedures.
能力項目說明
Students who successfully complete this course should be able to demonstrate understanding of:
- understand the basis of mathematical statistics and some of its more relevant theoretical features.
- how to read and annotate an outline of a proof and be able to write a logical proof of a statement.
- how to translate real-world problems into probability models.
| 教學週次Course Week | 彈性補充教學週次Flexible Supplemental Instruction Week | 彈性補充教學類別Flexible Supplemental Instruction Type |
|---|---|---|
|
週次 |
課程主題 |
課程內容與指定閱讀 |
教學活動與作業 |
|
|
|
||||
|
1 (2/21) |
Principles of Data Reduction |
6.1, 6.2 |
6.1-6.30 |
|
|
2 (2/28) |
放假 |
6.31, 6.36, 6.37, 6.40, 7.1-7.14 |
|
|
|
3 (3/7) |
Complete Sufficient Statistics, MME, MLE, Bayes Estimators |
7.1, 7.2 |
7.15-7.26, 7.32 |
|
|
4 (3/14) |
MSE, Best Unbiased, Sufficiency and Unbiasedness |
7.3 |
7.33, 7.38-7.45 |
|
|
5 (3/21) |
Loss Function Optimality, EM |
7.3, 7.2 |
7.46-7.65 |
|
|
6 (3/28) |
放假 |
|
|
|
|
7 (4/4) |
放假 |
|
|
|
|
8 (4/11) |
Asymptotic about point estimators Point estimators + Robustness |
10.1, 10.2.1 |
10.1-10.11, 10.16 10.18-10.23 |
|
|
9 (4/18) |
Midterm |
(Ch. 6, Ch. 7, 10.1, 10.2.1) |
Review for midterm |
|
|
10 (4/25) |
Methods of Finding Tests |
8.1, 8.2 |
8.1-8.24 |
|
|
11 (5/2) |
Methods of finding and evaluating tests |
8.2, 8.3 |
8.25-8.36 |
|
|
12 (5/9) |
Methods of finding and evaluating tests |
8.3 |
8.37-8.46, 8.48, 8.47, 8.49, 8.51, 8.52 |
|
|
13 (5/16) |
Asymptotic about tests Methods of finding interval estimators |
10.3; 9.1, 9.2 |
10.31-10.38 |
|
|
14 (5/23) |
Methods of finding interval estimators Asymptotic intervals Asymptotic intervals, Evaluating interval estimators |
9.2, 9.3, 10.4 |
9.1, 9.2, 9.58(a), 9.3-9.15,9.16-9.25, 9.34, 9.35, 9.36,10.4:10.40-10.43, 10.47 |
|
|
15 (5/30) |
端午 |
|
10.4:10.40-10.43, 10.47, 9.37-9.41, 9.44-9.52, 9.56-9.58 |
|
|
16 (6/6) |
Final Exam |
(8.1-8.3, 10.3, 9.1-9.3, 10.4) |
Review for Final |
|
|
17, 18 |
自主學習 |
|
|
Midterm 50%
Final 50%
Statistical inference, second edition; George Casella and Roger L. Berger
http://moodle.nccu.edu.tw