課程名稱 |
高等統計推論一 Advanced Statistical Inference (Ⅰ) |
開課學期 |
110-1 |
授課對象 |
理學院 數學研究所 |
授課教師 |
楊鈞澔 |
課號 |
MATH7603 |
課程識別碼 |
221 U1570 |
班次 |
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學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
必修 |
上課時間 |
星期一5(12:20~13:10)星期四8,9(15:30~17:20) |
上課地點 |
天數102天數102 |
備註 |
總人數上限:30人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1101MATH7603_1 |
課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
Contents:
1.Probabilities, random variables, and distributions.
2.Transformations and expectations.
3.Common families of distributions.
4.Multivariate probability distributions and related properties.
5.Random samples, sampling distributions, and convergence concepts.
6.Sufficiency, likelihood, and equivalence principals. |
課程目標 |
The objective of this course is to introduce to the students some basic theory of probability. It is fundamentally important for understanding the commonly used statistical concepts and methods. It also provides a necessary basis for students for a further study of other advanced statistical courses. |
課程要求 |
Introduction to Probability and Statistics Theory or equivalent |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
Textbook and References:
1. Casella, G. and Berger, R. L. (2002). Statistical Inference. 2nd ed. Duxbury Press.
2. Bickel, P. S. and Doksum, K. A. (2001). Mathematical Statistics: Basic Ideas and Selected Topics, Vol. I, 2nd ed. Prentice Hall.
3. Karr, A. F. (1993). Probability. Springer-Verlag. |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
作業 |
40% |
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2. |
期中考 |
30% |
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3. |
期末考 |
30% |
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