| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
| 期使修課者能熟習課本內容，能進一步選修進階或應用課程，對於想進修統計學或相關研究所的學生，能打下紮實基礎。 |
| 3.Professional Knowledge in Statistical Analysis |
| 6.Theory of Mathematical Analysis, Statistics, and Mechanics |
|
|
|
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Sampling and statistics, confidence interval. |
| Week 2 |
Order statistics. |
| Week 3 |
Hypothesis testing, chi-square tests |
| Week 4 |
Monte Carlo method |
| Week 5 |
convergence in probability. |
| Week 6 |
Convergence in distribution. |
| Week 7 |
Central limit theorem. |
| Week 8 |
Extensions to multivariate distributions |
| Week 9 |
Maximum likelihood estimation |
| Week 10 |
Midterm Exam |
| Week 11 |
Cramer-Rao Lower bound |
| Week 12 |
EM algorithm |
| Week 13 |
Sufficiency |
| Week 14 |
Completeness and exponential family |
| Week 15 |
Minimal sufficiency, ancillary statistics (I) |
| Week 16 |
Minimal sufficiency, ancillary statistics (II)
Review and Final exam |
self-directed
learning |
03.Preparing presentations or reports related to industry and academia.
|
|
| Evaluation |
| 100%筆試 |
| Textbook & other References |
| Hogg, McKean, and Craig (2013) Introduction to Mathematical Statistics (Seventh Edition), Pearson. |
| Teaching Aids & Teacher's Website |
| http://www.amath.nchu.edu.tw/member/room/Mathematical_Statistics_handout.pdf |
| Office Hours |
1. 每星期二:13:30~14:30.
2. 每星期四:11:10~12:00. |
| Sustainable Development Goals, SDGs(Link URL) |
| include experience courses：N |
|