課程資訊
課程名稱
高等統計推論一
Advanced Statistical Inference (Ⅰ) 
開課學期
107-1 
授課對象
理學院  數學研究所  
授課教師
江金倉 
課號
MATH7603 
課程識別碼
221 U1570 
班次
 
學分
3.0 
全/半年
半年 
必/選修
必修 
上課時間
星期一5(12:20~13:10)星期四8,9(15:30~17:20) 
上課地點
天數102天數102 
備註
總人數上限:30人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1071MATH7603_ 
課程簡介影片
 
核心能力關聯
核心能力與課程規劃關聯圖
課程大綱
為確保您我的權利,請尊重智慧財產權及不得非法影印
課程概述

Contents:
1. Probabilities, random variables, and distributions.
2. Transformations and expectations.
3. Common families of distributions.
4. Multivariate probability distributions and related concepts such as conditional distributions,
independence, and conditional expectation.
5. Random samples, sampling distributions, convergence concepts, and generating random samples.
6. Sufficiency, likelihood, and equivalence principals.
7. Best unbiased estimators 

課程目標
The objective of this course is to introduce to the students some basic theory of probability. It is fundamentally important for understanding the commonly used statistical concepts and methods. It also provides a necessary basis for students for a further study of other advanced statistical courses. 
課程要求
Introduction to Probability and Statistics Theory or equivalent
Students taking this course should be grounded in probability and mathematical
statistics at the upper division undergraduate level. 
預期每週課後學習時數
 
Office Hours
 
參考書目
Textbook and References:
1. Casella, G. and Berger, R. L. (2002). Statistical Inference. 2nd ed. Duxbury Press.
2. Efron, B. and Hastie, Trevor (2016). Computer Age Statistical Inference: Algorithms, Evidence, and Data Science
3. Bickel, P. S. and Doksum, K. A. (2001). Mathematical Statistics: Basic Ideas and Selected Topics,
Vol. I, 2nd ed. Prentice Hall.
4. Karr, A. F. (1993). Probability. Springer-Verlag. 
指定閱讀
待補 
評量方式
(僅供參考)
   
課程進度
週次
日期
單元主題