欲以抽樣數據建立數學模型，乃至加以預測，其相關的理論基礎就是統計學。本課程屬於機率學延伸的課程，內容以數理統計為主，所衍生之應用包括作業研究、網路通訊、財務工程、人工智慧等。本課程的目標是引導同學學習統計學以下幾個重要的基本觀念，並熟練相關計算與應用：
1. 理解大數法則、中央極限定理。
2. 理解統計推論的點估計、區間估計、假設檢定等觀念，並且熟練其相關計算與應用。
2. 理解統計推論的貝式分析，並且熟練其相關計算與應用。
3. 理解隨機過程的觀念，如Poisson過程、Markov鏈、Brownian運動，並且熟練其相關計算與應用。If you want to use sampled data to establish a mathematical model or even make predictions, the relevant theoretical basis is statistics. This course is an extension of probability science. The content is mainly mathematical statistics, and its derived applications include homework research, network communications, financial engineering, artificial intelligence, etc. The goal of this course is to guide students to learn the following important basic concepts of statistics and become proficient in related calculations and applications:
1. Understand the law of large numbers and the central limit theorem.
2. Understand concepts such as point estimation, interval estimation, and hypothesis testing of statistical inference, and be proficient in their related calculations and applications.
2. Understand Bayesian analysis of statistical inference, and be proficient in its related calculations and applications.
3. Understand the concepts of stochastic processes, such as Poisson process, Markov chain, and Brownian motion, and be proficient in their related calculations and applications.
1. Hossein Pishro-Nik, Introduction to Probability Statistics and Random Process.
附註：
1. 本書完整內容的html版(免費)連結為http://www.probabilitycourse.com.
2. 因為紙本版未透過出版商發行，如果要購買紙本，請自行至amazon購買， 另外完整習題解答的紙本版，也可以在 amazon購買。
3. Robert V. Hogg, Elliot A. Tanis, and Dale L. Zimmerman, Probability and Statistical Inference, 9th Edition, Global Edition, Pearson. （華泰書局代理）
1. Hossein Pishro-Nik, Introduction to Probability Statistics and Random Process.
Note:
1. The link to the html version (free) of the complete content of this book is http://www.probabilitycourse.com.
2. Because the paper version is not distributed through the publisher, if you want to purchase the paper version, please go to Amazon to purchase it. In addition, the paper version of the complete exercise solutions can also be purchased on Amazon.
3. Robert V. Hogg, Elliot A. Tanis, and Dale L. Zimmerman, Probability and Statistical Inference, 9th Edition, Global Edition, Pearson. (Agent by Huatai Book Company)
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 平時成績平時成績 usual results |
30 | 包含作業、助教隨堂測驗等成績 |
| 考試考試 exam |
80 | 包括二次小考、期中考、期末考，每次20% |
