Homepage » ALL COURSE » College of Science » Department of Applied Mathematics » Statistics | Institute of Statistics Prof. Lin-An Chen
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 |
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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 |
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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 |
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本課程行事曆提供課程進度與考試資訊參考。
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