Probability and Mathematical Statistics is an important theoretical course for undergraduates majoring in economics and management, and science and engineering in Yunnan University of Finance and Economics. There are more than 3,000 students enrolled in this course every year. The teaching team always adheres to the construction idea of "perfecting the course system, optimizing the knowledge structure, improving the teaching methods, strengthening the ability training and improving the quality of teachers", constantly exploring, paying attention to accumulation, and being brave in innovation. In recent years, based on the course of Probability and Mathematical Statistics, many teaching reforms have been carried out and good results have been achieved. Team teachers have also won a number of national and provincial teaching competition awards.
Overview
Syllabus
- Chapter 1 Random Events and Their Probabilities
- 1.1 Random Event
- 1.2 Probability of Random Event
- 1.3 Classical and Geometric Models of Probability
- 1.4 Conditional Probability
- 1.5 Independence of Events
- Chapter 2 Random Variables and Their Distribution
- 2.1 Random Variables and Distribution Functions
- 2.2 Discrete-Type Random Variables and Their Probability Distributions
- 2.3 Continuous-Type Random Variables and Their Probability Density Functions
- 2.4 Functions of Random Variables and Their Distributions
- 2.5 Bivariate Random Variables and Their Distributions
- 2.6 Conditional Distributions and Independence of Random Variables
- Chapter 3 Numerical Characteristics of Random Variables
- 3.1 Mathematical Expectation
- 3.2 Variance
- 3.3 Covariance and Correlation Coefficient
- 3.4 Law of Large Numbers and Central Limit Theorem
- Chapter 4 Basic Introduction of Mathematical Statistics
- 4.1 Basic Concepts of Mathematical Statistics
- 4.2 Commonly Used Statistical
- 4.3 Sampling Distributions
- Chapter 5 Parameter Estimation
- 5.1 Point Estimation
- 5.2 Evaluation Criteria for Estimators
- 5.3 Interval Estimation
- Chapter 6 Hypothesis Testing
- 6.1 The basic concepts of hypothesis testing
- 6.2 Hypothesis testing of a mononormal population
- 6.3 Hypothesis testing of a binormal population
- Final test questions
Taught by
Wang Haiyan , Tan Ying, Shen Shiping, Cao Zhijuan, JIN-Xuan,Yang, Wu Cixuan, Fu Wenyue, and Yongjuan Ma
