機率與統計
Probability and Statistics
| 節 | 週一 | 週三 |
|---|---|---|
6 14:20–15:10 | 機率與統計 2 節連堂 | |
7 15:30–16:20 | ||
9 17:30–18:20 | 機率與統計 |
* 根據陽明交大上課時間表所列
1. Foundations of probability theory. 2. Probabilistic and statistical description and analysis in engineering applications
Calculus
無備註
None
General performance 30% Midterm Exam. 30% Final Exam. 40%
Discrete Random Variables
Probability Mass Function (PMF), Expectation, Moments, Conditional PMF
- 講授：
- 9
Continuous Random Variables
Cumulative Distribution Function (CDF), Probability Density Function (PDF), Function of a Random Variable
- 講授：
- 9
Two Random Variables
Joint CDF, Joint PDF, Joint Moments, Conditional Probability and Expectation, Jointly Gaussian Random variables
- 講授：
- 12
Vector Random Variables
Functions of Several Random Variables, Expected Values of Vector Random Variables, Jointly Gaussian Random Vectors
- 講授：
- 9
Probability Basics
Probability Models, Random Experiments, Conditional Probability
- 講授：
- 6
| 週次 | 主題 |
|---|---|
| 第 1 週 | Review of Set Theory, Probability Models 2023-09-11(一),2023-09-13(三) |
| 第 2 週 | Experiments, Axioms of Probability 2023-09-18(一),2023-09-20(三) |
| 第 3 週 | Conditional Probability, Independency 2023-09-25(一),2023-09-27(三) |
| 第 4 週 | Discrete Random Variables, Probability Mass Function 2023-10-02(一),2023-10-04(三) |
| 第 5 週 | Expected Value and Moments of Discrete Random Variable 2023-10-09(一),2023-10-11(三) |
| 第 6 週 | Conditional Probability Mass Function, Important Discrete Random Variables 2023-10-16(一),2023-10-18(三) |
| 第 7 週 | Continuous Random Variables, Cumulative Distribution Function, Probability Density Function 2023-10-23(一),2023-10-25(三) |
| 第 8 週 | Important Continuous Random Variables 2023-10-30(一),2023-11-01(三) |
| 第 9 週 | Midterm exam. 2023-11-06(一),2023-11-08(三) |
| 第 10 週 | Functions of a Random Variable, Markov and Chebyshev Inequalities 2023-11-13(一),2023-11-15(三) |
| 第 11 週 | Joint Cumulative Distribution Function, Joint Probability Density Function 2023-11-20(一),2023-11-22(三) |
| 第 12 週 | Joint Moments, Functions of Two Random Variables 2023-11-27(一),2023-11-29(三) |
| 第 13 週 | Conditional Probability, Conditional Expectation 2023-12-04(一),2023-12-06(三) |
| 第 14 週 | Jointly Gaussian Random Variables, Generating Gaussian Random Variables 2023-12-11(一),2023-12-13(三) |
| 第 15 週 | Vector Random Variables, Functions of Several Random Variables 2023-12-18(一),2023-12-20(三) |
| 第 16 週 | Expected Values of Vector Random Variables 2023-12-25(一),2023-12-27(三) |
| 第 17 週 | Final exam. 2024-01-01(一),2024-01-03(三) |
Alberto Leon-Garcia, Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Ed., Pearson Prentice Hall, 2008
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