1587 - 數理統計

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 are the core courses 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. R.V. Hogg, J.W. McKean, A.T. Craig (2020) Introduction to Mathematical Statistics (8e), Pearson.

1. R.V. Hogg, J.W. McKean, A.T. Craig (2020) Introduction to Mathematic Statistics (8e), Pearson.

評分方式 Grading

評分項目
Grading Method		 配分比例
Percentage		 說明
Description
Midterm Exam
Midterm Exam
 30
Final Exam
Final Exam
 30
Quizzes and Recitation Class
Quizzes and Recitation Class
 30
出席與參與
Attend and participate
 10

授課大綱 Course Plan

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Time & Room		 學分
Credits		 操作
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Mathematical Statistics
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課程資訊 Course Information

基本資料 Basic Information
  • 課程代碼 Course Code: 1587
  • 學分 Credit: 3-3
  • 上課時間 Course Time:
    Tuesday/3,4,Wednesday/5[M219]
  • 授課教師 Teacher:
    王榮琮
  • 修課班級 Class:
    統計系3A
  • 選課備註 Memo:
    人工加選
選課狀態 Enrollment Status
目前選課人數 Current Enrollment: 78 人
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