本书是高等院校留学研究生及本科生概率论与数理统计课程外文数材，内容主要包括随机事件与概率、随机变量及其分布、随机向量及其分布、随机变量的数字特征、大数定律和中心限定理、抽样分布、参数估计、侵设检验等.本书内容取材合理,例题典型新颖，题目形式多样，便于教学，可供不同层次要求的学生选用。

Chapter 1 Random Events and Probabilities
1.1 Random events and sample space
1.2 Relationship and operation of random events
1.3 Probability of random events
1.4 The axioms and properties of probability
1.5 Conditional Probability and Multiplication Formula
1.6 total probability formula and inverse probability formula
1.7 Independence of random events
Chapter 2 Random Variables and Their Distribution
2.1 Discrete random variables and their distribution law
2.2 Distribution function of random variables
2.3 Continuous random variables and their probability density
2.4 several common continuous random variables
2.5 Distribution of random variable functions
Chapter 3 Random Vectors and Their Distribution
3.1 two-dimensional random vector
3.2 two-dimensional discrete random vector
3.3 two-dimensional continuous random vector
3.4 Independence of random variables
3.5 Distribution of two random vector functions
Chapter 4 Digital Features of Random Variables
4.1 Mathematical Expectations of Random Variables
4.2 Variance of random variables
4.3 Covariance and correlation coefficient
4.4 Moment and Covariance Matrix of Random Variables
Chapter 5 Law of Large Numbers and Central Limit Theorem
5.1 Law of Large Numbers
5.2 Central Limit Theorem
Chapter 6 Sampling Distribution
6.1 Basic concepts of mathematical statistics
6.2 sampling distribution
Chapter 7 Parameter Estimation
7.1 point estimate
7.2 Evaluation criteria for estimators
7.3 Interval Estimation of a Single Normal Population
7.4 Interval Estimation of Two Normal Populations
Chapter 8 Hypothesis Testing
8.1 The basic idea of hypothesis testing
8.2 Hypothesis testing of single normal population mean
8.3 Hypothesis testing of two normal population means
8.4 Hypothesis testing of single normal population variance
8.5 Hypothesis testing of two normal population variances
Appendix
References