Statistics
本課程是由 國立陽明交通大學應用數學系、統計研究所 提供。
課程主要以機率理論為基礎，學習統計推論之方法與理論。
Textbook：
Hogg and Craig, Introduction to Mathematical Statistics (建議購買書籍).
Mood, Graybill and Boes, Introduction to the Theory of Statistics.
For perfect learning results, please buy textbooks!
| Instructor(s) | Institute of Statistics Prof. Lin-An Chen |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 100 Academic Year |
| Level | Third year university students |
| Prior Knowledge | Must have a foundation in calculus and probability courses |
| Related Resources | Course Video Course Syllabus Course Calendar Course Handout |
| Week | Course Content | Course Video |
|---|---|---|
| Week 01 | 課程介紹 | Watch Online |
| Week 02 | 隨機變數，分配理論 (1/2) | Watch Online |
| Week 02 | 隨機變數，分配理論 (2/2) | Watch Online |
| Week 03 | 極限分配 (1/2) | Watch Online |
| Week 03 | 極限分配 (2/2) | Watch Online |
| Week 04 | 極限分配 (1/2) | Watch Online |
| Week 04 | 極限分配 (2/2) | Watch Online |
| Week 05 | 點估計介紹 | Watch Online |
| Week 06 | 充分性 (1/2) | Watch Online |
| Week 06 | 充分性 (2/2) | Watch Online |
| Week 07 | 充分性 (1/2) | Watch Online |
| Week 07 | 充分性 (2/2) | Watch Online |
| Week 08 | C.-R. bound (1/2) | Watch Online |
| Week 08 | C.-R. bound (2/2) | Watch Online |
| Week 09 | 貝式估計 | Watch Online |
| Week 10 | 區間估計 | Watch Online |
| Week 11 | 區間估計 (1/2) | Watch Online |
| Week 11 | 區間估計 (2/2) | Watch Online |
| Week 12 | 區間估計 (1/2) | Watch Online |
| Week 12 | 區間估計 (2/2) | Watch Online |
| Week 13 | 檢定概念 (1/2) | Watch Online |
| Week 13 | 檢定概念 (2/2) | Watch Online |
| Week 14 | 檢定概念 (1/2) | Watch Online |
| Week 14 | 檢定概念 (2/2) | Watch Online |
| Week 15 | MP檢定 (1/2) | Watch Online |
| Week 15 | MP檢定 (2/2) | Watch Online |
| Week 16 | UMP檢定 | Watch Online |
課程目標
本課程必須具備微積分及機率課程基礎，課程主要以機率理論為基礎，學習統計推論之方法與理論。
課程章節
| 章節 | 章節內容 |
| 隨機變數，分配理論 | 隨機變數，隨機樣本，統計量 |
| 極限分配 | 機率，分配收斂 |
| 點估計 | 參數及估計介紹 |
| 充分性 | 充分統計量及其理論 |
| C.-R. bound | 不偏估計之變異數下限 |
| 貝式估計 | 貝式點估計，事後分配 |
| 區間估計 | 參數之信賴區間 |
| 檢定概念 | 假設之設定，誤差觀念 |
| MP檢定 | 最強力檢定 |
| UMP檢定 | 一致最強力檢定 |
| 概似比檢定 | 由概似比決定檢定方法 |
課程書目
Hogg and Craig, Introduction to Mathematical Statistics (建議購買書籍).
Mood, Graybill and Boes, Introduction to the Theory of Statistics.
評分標準
| 項目 |
| 兩次平常考 |
| 不定期作業 |
| 期中考 |
| 期末考 |
本課程行事曆提供課程進度與考試資訊參考。
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COURSE
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