Applied Statistics
This course focuses on some fundamental applied statistical knowledge, including basic probability, distributions, estimation problems, hypotheses, sampling methods, (non)linear regression models, nonparametric statistics, and applications in the engineering field. Additionally, it provides a detailed introduction to the application scenarios through specific real-world projects.【Attention: We are hiring two BIMSA/Qiuzhen students (with an extra salary) to join our project with COMAC. Please attend the first class if you're interested. We are trying to use importance sampling and neural networks to solve the sampling problem in the auto-landing system. I will introduce the details in this class. Welcome to JOIN! 】

讲师
日期
2024年09月10日 至 12月10日
位置
Weekday | Time | Venue | Online | ID | Password |
---|---|---|---|---|---|
周二 | 09:50 - 11:25 | A6-101 | ZOOM B | 462 110 5973 | BIMSA |
修课要求
Basic knowledge of probability and statistics
课程大纲
1. Introduction and An Example
2. Probability: random variables and distributions
3. Fundamental Sampling distributions
4. One- and Two-Sample Estimation Problems
5. One- and Two-Sample Tests of Hypotheses
6. Smoothing
7. Monte Carlo Methods
8. Importance Sampling Methods
9. Optimization-1: Linear Regression Models
10. Optimization-2: Nonlinear Regression Models
11. Optimization-3: Expectation Maximization Algorithms
12. Nonparametric Statistics
2. Probability: random variables and distributions
3. Fundamental Sampling distributions
4. One- and Two-Sample Estimation Problems
5. One- and Two-Sample Tests of Hypotheses
6. Smoothing
7. Monte Carlo Methods
8. Importance Sampling Methods
9. Optimization-1: Linear Regression Models
10. Optimization-2: Nonlinear Regression Models
11. Optimization-3: Expectation Maximization Algorithms
12. Nonparametric Statistics
参考资料
Ref-1: Probability & Statistics for Engineers & Scientists, Ninth Edition, Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye.
Ref-2: Computational Statistics with R, Niels R. Hansen, https://cswr.nrhstat.org/
Ref-2: Computational Statistics with R, Niels R. Hansen, https://cswr.nrhstat.org/
听众
Undergraduate
, Advanced Undergraduate
, Graduate
, 博士后
, Researcher
视频公开
不公开
笔记公开
公开
语言
中文