◎系所教育目標：
1.培育具宏觀視野的經濟基礎人才。
2.建立學生未來發展所需之競爭力與獨立思考能力。 |
| ◎核心能力 | 關聯性 |
| 1.廣泛經濟議題的論述與分析能力，強調能活化經濟理論於實務應用。 | 5 關聯性最強 |
| 2.溝通、領導與團隊合作能力。 | 3 關聯性中等 |
| 3.具備國際觀、人文倫理關懷與服務精神。 | 3 關聯性中等 |
◎本學科內容概述：
本課程的目的是為統計學理論打下堅實的基礎，同時說明該理論在解決現實世界中實際問題方面的相關性和重要性。本課程專注於統計定理和證明的推導。本課程要求具備入門的初級統計學知識和大學一年級微積分基礎。本課程將不使用統計軟體。 |
◎本學科教學內容大綱：
1.機率論
2.間斷機率分配
3.連續機率分配
4.多元機率分配 |
◎本學科學習目標：
The intent of this course is to give a solid undergraduate foundation in statistical theory while providing an indication of the relevance and importance of the theory in solving practical problems in the real world. |
| ◎教學進度： |
| 週次 | 主題 | 教學內容 | 教學方法 |
01
| Introduction | review of introductory statistics | 講授、討論。 |
02
| Introduction of probability | set theory;
the definition of elememtary outcome, sample space, event, sample point | 講授、討論。 |
03
| Introduction of probability | The sample point method;
The event composition method | 講授、討論。 |
04
| Introduction of probability | Two laws of probability;
The multiplicative law of probability;
The additive law of probability; Bayes' Rule
The definition of ramdon variable | 講授、討論。 |
05
| Discrete Distributions | quiz 1
definition of discrete random variable
Binomial distribution; expectation, variance and moment generating function | 操作/實作、講授、討論。 |
06
| Discrete Distributions | Poisson distribution; expectation, variance and moment generating function | 講授、討論。 |
07
| Discrete Distributions | Geometric distribution; Negative Binomial distribution, expectation, variance and moment generating function | 講授、討論、全校運動會 no class。 |
08
| Discrete Distributions | quiz 2
Hypergeometric distribution, expectation, variance and moment generating function;
Tchebysheff's Theorem | 講授、討論。 |
09
| Midterm | Midterm | 操作/實作。 |
10
| Continuous Distributions | distribution function;
definition of continuous distribution;
probability density function;
expectation, variance and moment generating function | 操作/實作、講授、討論。 |
11
| Continuous Distributions | derivation of exponential distribution from Poisson distribution;
expectation, variance and moment generating function | 講授、討論。 |
12
| Continuous Distributions | derivation of Gamma and chi distribution, expectation, variance and moment generating function | 講授、討論。 |
13
| Continuous Distributions | quiz 3
Uniform and normal distribution;
expectation, variance and moment generating function | 講授、討論。 |
14
| Multivariate Distributions | bivariate probability distribution | 操作/實作、講授、討論。 |
15
| Multivariate Distributions | marginal and conditional probability distribution;
independent random variables | 講授、討論。 |
16
| Multivariate Distributions | Conditional expectations | 講授、討論。 |
17
| Multivariate Distributions | quiz 4
The bivariate normal distribution | 操作/實作、講授、討論。 |
18
| Final exam | Final exam | 操作/實作。 |
◎課程要求：
There are 4 quizzes, a midterm and a final exam in this class.
1.同學須備有計算機(上課隨堂練習與考試時使用)
2.小考缺考原則上不補考；期中期末考請假依學校規定
3.未經系統請假而缺席以曠課論
4.上課時手機關機
5.教師保留課程異動與教學方式之權利
6.其他未盡事宜將於課堂中補充說明 |
◎成績考核
課堂參與討論10%
小考30% : four quizzes
期中考30%
期末考30%
|
◎參考書目與學習資源
Textbook:
Mathematical Statistics with Applications, Wackerly, Mendenhall, and Scheaffer. 7th Eds.雙葉
Reference:
Probability and Statistical Inference, Hogg and Tanis, 9th Eds, 華泰.
A First Course in Probability, Sheldon Ross, 10th Eds, 華泰. |
| ◎教材講義 請改以帳號登入校務系統選擇全校課程查詢方能查看教材講義 |