課程資訊
課程名稱
統計學
Statistics 
開課學期
109-2 
授課對象
理學院  數學系  
授課教師
黃彥棕 
課號
MATH3601 
課程識別碼
201 38100 
班次
 
學分
3.0 
全/半年
半年 
必/選修
選修 
上課時間
星期一2,3,4(9:10~12:10) 
上課地點
新203 
備註
總人數上限:100人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1092MATH3601_ 
課程簡介影片
 
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課程概述

Contents:
1. Probability language: Description of random phenomenon, sampling variation,
assessment by simulation, sample mean and variance etc. (Rice Chapters 1, 2, and 3; Wasserman
Chapters 1, 2, and 3)
2. Type of Convergence. Law of Large Numbers, Central limit theorem and Delta Method (Rice
Chapters 4 and 5), Simulation (part of Chapters 8 and 24; Wasserman Chapters 4 and 5, Ch 8.1 and
11.4)
3. Models (Parametric and nonparametric), Fundamental Concepts in Inference including point
estimation, confidence sets, and Hypothesis Testing (Chapter 6)
4. Empirical distribution function (Chapter 7)
5. Resampling: Bootstrap and Jackknife (Wasserman: Chapter 8)
6. Parametric Inference: Estimation and Assumptions Checking (Wasserman: Chapters 9 and 10)
7. Linear and Logistic Regression (Wasserman: Chapter 13)
Topics include: VC theory, convergence, point and interval estimation, hypothesis testing and p-values, data reduction, Bayesian inference, and nonparametric statistics. 

課程目標
Teach the fundamentals of theoretical statistics.
Provide excellent preparation for advanced work in statistics and machine learning.
Introduce the role of statistics in contemporary applications and to develop an elementary understanding of, and fluency in, the statistical paradigm of data collection, exploration, modeling and inference. Inference includes estimation, interval estimation and hypothesis testing.
Both small and large sample theorems of hypothesis testing, interval estimation, and confidence intervals will cover. 
課程要求
􏴖􏳜􏳗􏳧􏲎􏴖􏳜􏳗􏳧􏲎􏴖􏳜􏳗􏳧􏲎􏴖􏳜􏳗􏳧􏲎One year Calculus and 機率導論 or equivalent.
Know the material in Chapters 1-3 of of the book (basic probability). 
預期每週課後學習時數
 
Office Hours
 
參考書目
References:
1. Casella, G. and Berger, R. L. (2002). Statistical Inference. 2nd ed. Duxbury Press. (Textbook for
Advanced Statistical Inference) 
指定閱讀
待補 
評量方式
(僅供參考)
   
課程進度
週次
日期
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