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國立中山大學 109學年度第1學期 課程教學大綱
National Sun Yat-sen University 109Academic year1st Semester Course syllabus
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中文名稱
Course name(Chinese) |
高等統計學 |
課號
Course Code |
FM402 |
英文名稱
Course name(English) |
ADVANCED STATISTICS |
課程類別
Type of the course |
講授類 | 必選修
Required/Selected | 選修 |
系所
Dept./faculty |
財務管理學系 |
授課教師
Instructor |
唐俊華
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學分
Credit |
3 |
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因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，授課方式調整如下：Since COVID-19, if distance learning is necessary, the teaching methods would adjust as follows: |
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因應嚴重特殊傳染性肺炎(武漢肺炎)，倘若後續需實施遠距授課，評分方式調整如下：Since COVID-19, if distance learning is necessary, the evaluation would adjust as follows: |
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1.Midterm exam：50%
2.Final exam：50%
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課程大綱 Course syllabus |
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課程目標 Objectives |
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The students have deeper understandings in the distributions widely used in finance.
1. Univariate random variables: (1) the features of probability mass functions and probability density functions; (2) how to derive the expected value and variance of a random variable and its function; (3) binomial, geometric, negative binomial, Poisson distribution, etc.; (4) uniform, exponential, gamma, normal, beta distribution, etc.; (5) probability integral transform; (6) the applications in financial engineering.
2. Multivariate random variables: (1) the features of joint probability mass functions and joint probability density functions; (2) how to derive the covariance and correlation coefficient of two variables; (3) trinomial distribution; (4) bivariate normal distribution; (5) conditional distribution and the distribution of a function of two variables; (6) order statistics; (7) the relationship between standard normal and t (chi-squares, F) distribution.
3. Point estimation: (1) methods of moment estimator and maximum likelihood estimator; (2) unbiasedness.
Students who are interested in probability and statistical distributions are welcome to take this course.
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授課方式 Teaching methods |
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This course is mostly distance learning with three exams in the classroom. Calculus is frequently used in this course. The students should make sure that you have equipped with basic knowledge of differential, skills of integrals, multiple integrals, Taylor's expansion, and so on.
The instructor will explain the details of distance learning and exams in the classroom in the first class. Please attend class in the classroom at 9:10 a.m. on September 11, 2020.
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評分方式﹝評分標準及比例﹞Evaluation (Criteria and ratio)等第制單科成績對照表 letter grading reference
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1.The first written exam：30%
2.The second written exam：30%
3.The third written exam：30%
4.Homework or exercises：10%
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參考書/教科書/閱讀文獻 Reference book/ textbook/ documents
〔請遵守智慧財產權觀念，不可非法影印。教師所提供之教材供學生本人自修學習使用,不得散播及做為商業用途〕
No copies for intellectual property rights. Textbooks provided by the instructor used only for self-study, can not broadcast or commercial use
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1. 葉小蓁，高等統計學。
2. Handouts edited by the instructor.
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每週課程內容及預計進度 Weekly scheduled progress |
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| 週次 | 日期 | 授課內容及主題 | | Week | Date | Content and topic | | 1 | 2020/09/06~2020/09/12 | Introduction to random variables | | 2 | 2020/09/13~2020/09/19 | Discrete random variables (1) | | 3 | 2020/09/20~2020/09/26 | Discrete random variables (2) | | 4 | 2020/09/27~2020/10/03 | Holiday | | 5 | 2020/10/04~2020/10/10 | Holiday | | 6 | 2020/10/11~2020/10/17 | Continuous random variables (1) | | 7 | 2020/10/18~2020/10/24 | Continuous random variables (2) | | 8 | 2020/10/25~2020/10/31 | The first written exam | | 9 | 2020/11/01~2020/11/07 | Multivariate distribution (1) | | 10 | 2020/11/08~2020/11/14 | Multivariate distribution (2) | | 11 | 2020/11/15~2020/11/21 | Multivariate distribution (3) | | 12 | 2020/11/22~2020/11/28 | Multivariate distribution (4) | | 13 | 2020/11/29~2020/12/05 | The second written exam | | 14 | 2020/12/06~2020/12/12 | Multivariate distribution (5) | | 15 | 2020/12/13~2020/12/19 | Order statistics | | 16 | 2020/12/20~2020/12/26 | Methods of moment estimator, Maximum likelihood estimator | | 17 | 2020/12/27~2021/01/02 | Holiday | | 18 | 2021/01/03~2021/01/09 | The third written exam |
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課業討論時間 Office hours |
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時段1 Time period 1:
時間 Time：星期一10:00-12:00
地點 Office/Laboratory：管院4079
時段2 Time period 2：
時間 Time：星期二14:00-16:00
地點 Office/Laboratory：管院4079
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系所學生專業能力/全校學生基本素養與核心能力 basic disciplines and core capabilitics of the dcpartment and the university |
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系所學生專業能力/全校學生基本素養與核心能力
basic disciplines and core capabilities of the department and the university | 課堂活動與評量方式
Class activities and evaluation | | 本課程欲培養之能力與素養 This course enables students to achieve. | 紙筆考試或測驗 Test. | 課堂討論︵含個案討論︶ Group discussion (case analysis). | 個人書面報告、作業、作品、實驗 Indivisual paper report/ assignment/ work or experiment. | 群組書面報告、作業、作品、實驗 Group paper report/ assignment/ work or experiment. | 個人口頭報告 Indivisual oral presentation. | 群組口頭報告 Group oral presentation. | 課程規劃之校外參訪及實習 Off-campus visit and intership. | 證照/檢定 License. | 參與課程規劃之校內外活動及競賽 Participate in off-campus/ on-campus activities and competitions. | 課外閱讀 Outside reading. | | ※系所學生專業能力 Basic disciplines and core capabilities of the department | |
| 1.財務倫理之能力與社會責任實踐 1. Financial ethics ability. | | | | | | | | | | | | | 2.國際觀之能力 2. Global perspective. | | | | | | | | | | | | | 3.解決財務問題之能力 3. Problem solving ability in Finance. | V | V | | V | | | | | | | | | 4.溝通之能力 4. Communication skill. | | | | | | | | | | | | | 5.財務管理專業知識之能力 5. Expertise in Financial management. | | | | | | | | | | | | | ※全校學生基本素養與核心能力 Basic disciplines and core capabilities of the university | |
| 1.表達與溝通能力。 1. Articulation and communication skills | | | | | | | | | | | | | 2.探究與批判思考能力。 2. Inquisitive and critical thinking abilities | V | V | | V | | | | | | | | | 3.終身學習能力。 3. Lifelong learning | | | | | | | | | | | | | 4.倫理與社會責任。 4. Ethnics and social responsibility | | | | | | | | | | | | | 5.美感品味。 5. Aesthetic appreciation | | | | | | | | | | | | | 6.創造力。 6. Creativity | | | | | | | | | | | | | 7.全球視野。 7. Global perspective | | | | | | | | | | | | | 8.合作與領導能力。 8. Team work and leadership | | | | | | | | | | | | | 9.山海胸襟與自然情懷。 9. Broad-mindedness and the embrace of nature | | | | | | | | | | | |
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本課程與SDGs相關項目：The course relates to SDGs items: |
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本課程校外實習資訊: This course is relevant to internship: |
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