相關閱讀資料
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審定：無 |
必讀課本
Required Text
Ross, Sheldon M. 《工程師和科學家作的機率論和統計學導讀》第三版，San Diego, CA: Academic Press, 2004，ISBN：0125980574
Ross, Sheldon M. Introduction to Probability and Statistic for Engineers and Scientists. 3rd ed. San Diego, CA: Academic Press, 2004. ISBN: 0125980574.
推薦課本
Recommended Texts
Larsen, R. J.和M. L. Marx. 《數理統計學及其應用導讀》 第三版， Upper Saddle Rive, NJ: Prentice Hall, 2001.
Larsen, R. J., and M. L. Marx. Introduction to Mathematical Statistics and its Applications. 3rd ed. Upper Saddle Rive, NJ: Prentice Hall, 2001.
DeGroot, M. H.和M. J. Schervish.《機率論和統計學》 第三版， Boston, MA: Addison-Wesley, 2002.
DeGroot, M. H., and M. J. Schervish. Probability and Statistics. 3rd ed. Boston, MA: Addison-Wesley, 2002.
Larsen和Marx的課本比Ross較通俗，而DeGroot和Schervish的課本非常好，但是稍微艱深。其他資源參見相關資源部分。
Larsen and Marx's book is a bit more chatty than Ross', while DeGroot and Schervish's is a very good book but somewhat more difficult. Additional resources are available in the related resources section.
閱讀資料來自於Ross (ROS)，Larsen & Marx (LM)和Degroot & Schervish (DS)的課本。注意ROS的課本不包括所有題目，卻是最貼切課堂教學的課本。
The readings are from Ross (ROS), Larsen & Marx (LM), and Degroot & Schervish (DS). Note that ROS does not cover all the topics, but is the book that follows more closely the material taught in class.
| 週 | 課程單元 | ROS | LM | DS |
|---|---|---|---|---|
| 1 | 集合論和機率論 Set and Probability Theory |
章節 3 Chapter 3 |
章節1.1 - 1.3, 2.1 - 2.10 Chapter 1.1 - 1.3, 2.1 - 2.10 |
章節1, 2.1 - 2.3 Chapter 1, 2.1 - 2.3 |
| 2 | 隨機變數，機率質量／密度函數，累進分布函數（單變數模型) Random Variables, Probability Mass/Density Function, Cumulative Distribution Function (Univariate Model) |
章節4.1 - 4.2, 5.1, 160 - 1頁 Chapter 4.1 - 4.2, 5.1, pp. 160 - 1 |
章節3.1 - 3.4 Chapter 3.1 - 3.4 |
章節3.1 - 3.3 Chapter 3.1 - 3.3 |
| 3 | 多隨機變數，雙變數分布，邊際分布，條件分布，獨立性，多變縣分布 Multiple Random Variables, Bivariate Distribution, Marginal Distribution, Conditional Distribution, Independence, Multivariate Distribution |
章節4.3 Chapter 4.3 |
章節3.5 - 3.6, 3.9 Chapter 3.5 - 3.6, 3.9 |
章節3.4 - 3.7 Chapter 3.4 - 3.7 |
| 4 | 期望（矩） Expectation (Moments) |
章節4.4 - 4.9 Chapter 4.4 - 4.9 |
章節3.10 - 3.13, 3.15 - 3.16 Chapter 3.10 - 3.13, 3.15 - 3.16 |
章節4.1 - 4.7 Chapter 4.1 - 4.7 |
| 5 | 復習和第1次考試 Review and Exam 1 |
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| 6 | 隨機變數和隨機向量變換（單變數和多變數模型） Random Variable and Random Vector Transformations (Univariate and Multivariate Models) |
章節3.7 Chapter 3.7 |
章節3.8 - 3.9 Chapter 3.8 - 3.9 |
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| 7 | 特殊分布和期中評價 Special Distributions and Midterm Evaluation |
章節5.1 - 5.8 Chapter 5.1 - 5.8 |
章節3.3, 4.1 - 4.3, 4.5 - 4.6 Chapter 3.3, 4.1 - 4.3, 4.5 - 4.6 |
章節5.1 - 5.6, 5.9 Chapter 5.1 - 5.6, 5.9 |
| 8 | 復習和第2次考試 Review and Exam 2 |
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| 9 | 隨機抽樣，大數法則，中心極限定理 Random Sample, Law of Large Numbers, Central Limit Theorem |
章節6, 4.9, 1和2 Chapter 6, 4.9, 1 and 2 |
章節3.14, pp. 272 - 5, 5.1, 5.4 Chapter 3.14, pp. 272 - 5, 5.1, 5.4 |
章節4.8, 5.7, 7.1, 7.7 Chapter 4.8, 5.7, 7.1, 7.7 |
| 10 | 點估計和點估計方法 Point Estimators and Point Estimation Methods |
章節 7.7, 7.1 - 7.2 Chapter 7.7, 7.1 - 7.2 |
章節5.2 Chapter 5.2 |
章節6.5 - 6.6 Chapter 6.5 - 6.6 |
| 11 | 區間估計和置信區間 Interval Estimation and Confidence Intervals |
章節7.3 - 7.6, 5.8.2 - 3 Chapter 7.3 - 7.6, 5.8.2 - 3 |
章節5.3 Chapter 5.3 |
章節7.5 Chapter 7.5 |
| 12 | 假設檢驗 Hypothesis Testing |
章節8 Chapter 8 |
章節6, 9.1 - 9.2 Chapter 6, 9.1 - 9.2 |
章節8 Chapter 8 |
| 13 | 復習和第3次考試 Review and Exam 3 |
