1758 - 數理統計 英授 Taught in English
Mathematical Statistics
教育目標 Course Target
數理統計為統計系學生學習統計理論的核心課程,提供統計相關課程的理論根基,並且培養未來修習更高深與統計相關之課程的能力,下學期課程主題以統計推論為主,範圍包含:1. 隨機樣本:極限分配及其常態理論、順序統計量、生成隨機樣本技巧 2. 點估計量:最大概似法及其漸進理論、EM演算法、指數族 3. 點估計量之評比:完備充分統計量、MVUE 4. 檢定:NP引理、MP檢定、UMP檢定、MLR族、UMPU檢定、LR檢定。
Mathematical statistics is the core course for students in the Department of Statistics to learn theories of the statistical theory, providing the theoretical foundation of statistical-related courses, and cultivating the ability to practice higher-level and statistical-related courses in the future. The theme of the course in the next period is mainly statistical recommendations, and the scope includes: 1. Random samples: extreme allocation and its normal theory, sequence measurement, and generation of random samples 2. Point-estimation measurement: maximum generalized method and its progressive theory, EM algorithm, and index family 3. Estimated measurement evaluation: Completed full measurement, MVUE 4. Confirmation: NP lemma, MP confirmation, UMP confirmation, MLR family, UMPU confirmation, LR confirmation.
參考書目 Reference Books
1. Hogg RV, McKean JW, Craig AT (2013) Introduction to Mathematical Statistics (7/E), Pearson Prentice Hall.
1. Hogg RV, McKean JW, Craig AT (2013) Introduction to Mathematical Statistics (7/E), Pearson Prentice Hall.
評分方式 Grading
評分項目 Grading Method |
配分比例 Percentage |
說明 Description |
---|---|---|
Midterm Exam Midterm Exam |
33 | |
Final Exam Final Exam |
34 | |
Quizzes and Recitation Class Quizzes and Recitation Class |
33 | 4 ~ 5 quizzes |
授課大綱 Course Plan
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相似課程 Related Courses
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課程名稱 Course Name |
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時間地點 Time & Room |
學分 Credits |
操作 Actions |
---|---|---|---|---|---|
必修-1760
|
統計系3B 俞一唐 | 二/5,五/3,4,5[M119] | 3-3 | 詳細資訊 Details | |
必修-6182
|
統計碩1 黃連成 | 四/1,2[M115] 三/1,2[M242] | 4-4 | 詳細資訊 Details |
課程資訊 Course Information
基本資料 Basic Information
- 課程代碼 Course Code: 1758
- 學分 Credit: 3-3
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上課時間 Course Time:Monday/7,8,Tuesday/4,5[M120]
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授課教師 Teacher:王榮琮
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修課班級 Class:統計系3A
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