Instructor: Shao-Qun Zhang (张绍群), with email zhangsq@nju.edu.cn
Location: 东校区, 南雍楼, 西-209
Teaching Assistants:
Jia-Yi Chen (陈嘉仪) (chenjiayi@smail.nju.edu.cn)
Xin-Shuang Zhang (张欣爽) (Zhangxs@smail.nju.edu.cn)
Lecture 1: Introduction
[Slides]
Lecture 2: Probability and Random Event
[Slides]
Lecture 3: Probability and Classical Models of Probability
Lecture 4: The Tewlvefold Way
[Slides]
Lecture 5: Conditional Probability and Independency
Lecture 6: Law of Total Probability and Bayesian Formula
Lecture 7: Examples of Conditional Probability, Independency, Law of Total Probability, and Bayesian Formula
[Slides]
Lecture 8: Review of Discrete Variables-1
[Slides]
Lecture 9: Review of Discrete Variables-2
Lecture 10: Distribution Functions, Probability DensityFunctions, and Statistical Quantity
[Slides]
Lecture 11: Typical Continuous Variables and Examples
Interactive Exercises: Gambling
Lecture 12: Multi-dimensional Random Vector and Distribution Function
Lecture 13: Independence and Conditional Distribution of Random Variables
Lecture 14: Operations on Multi-dimensional Random Variables – 1
Lecture 15: Operations on Multi-dimensional Random Variables – 2
[Slides]
Lecture 16: Numerical Characteristics of Multi-dimensional Random Variables – 1
[Slides]
Lecture 17: Numerical Characteristics of Multi-dimensional Random Variables – 2
Interactive Exercises: Classification
Lecture 18: Law of Large Numbers and Central Limit Theorem
Lecture 19: Basic Concepts of Statistics
[Slides]
Lecture 20: Sampling Distributions of Gaussian
Lecture 21: Point Estimation
Lecture 22: Interval Estimation
Lecture 23: Hypothesis Testing
Lecture 24: Summary and Projects
[Slides]
The following resources may be used as references.
Probability and Statistics, by Morris H. DeGroot and Mark J. Schervish (available online for free).