1759 - 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 a core course for statistics students to learn statistical theory, providing a theoretical foundation for statistics-related courses and cultivating the ability to study more advanced statistics-related courses in the future. The course topics for the next semester are mainly statistical inference, and the scope includes: 1. Random samples: limit distribution and its normality theory, sequential statistics, random sample generation techniques 2. Point estimators: maximum approximation method and its asymptotic theory, EM algorithm, exponential family 3. Evaluation of point estimators: complete and sufficient statistics, MVUE 4. Test: NP lemma, MP test, UMP test, MLR family, UMPU test, LR test.

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 Classes
 33 4 ~ 6 quizzes

授課大綱 Course Plan

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相似課程 Related Courses

課程代碼
Course Code		 課程名稱
Course Name		 授課教師
Instructor		 時間地點
Time & Room		 學分
Credits		 操作
Actions
必修-1757
Mathematical Statistics
 統計系3A 王榮琮 一/7,二/5[M218] 二/3,4[M221] 3-3 詳細資訊 Details
必修-6142
Mathematical Statistics
 統計碩1 沈維雄 三/3,4,五/3,4[M115] 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: 1759
  • 學分 Credit: 3-3
  • 上課時間 Course Time:
    Monday/8,9[M218] Tuesday/5,6[M221]
  • 授課教師 Teacher:
    王榮琮
  • 修課班級 Class:
    統計系3B
  • 選課備註 Memo:
    微積分上、下期50分以上方可修習
選課狀態 Enrollment Status
目前選課人數 Current Enrollment: 64 人
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