Instructor: Shao-Qun Zhang (张绍群), with Email zhangsq@nju.edu.cn and Office 东 524
Time: 周二 3-4 节、周四 5-6 节, 1-17 周(09.02 –12.29)
Location: 东校区, 南雍楼, 西-426
Teaching Assistants:
Jia-Yi Chen (陈嘉仪) (chenjy@lamda.nju.edu.cn)
Jia-Wei Huang (黄家炜) (huangjw@lamda.nju.edu.cn)
Shuang Liang (梁爽) (liangs@lamda.nju.edu.cn)
Qian Sun (孙茜) (sunq@lamda.nju.edu.cn)
Lecture 1: Introduction
[Slides]
Lecture 2: Random Event, Probability, and Frequency
[Slides]
Lecture 3: Classical Models of Probability
Lecture 4: The Twelvefold Way
Lecture 5: Conditional Probability and Event 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-1
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
Lecture 18: Law of Large Numbers and Central Limit Theorem
Lecture 19: Basic Concepts of Statistics and Sampling Distributions of Gaussian
Lecture 20: Point Estimation and Interval Estimation
Lecture 21: Hypothesis Testing
Lecture 22: 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).
Introduction to Probability, Statistics and Random Processes, by H. Pishro-Nik (available online for free).