概率论与数理统计(普通高等教育十三五规划教材)(英文版)

本书采用学生易于接受的知识结构方式和英语表 述方式，科学、系统地介绍了概率论与数理统计中随 机事件、概率的三个定义、古典概率的计算、条件概 率、全概率以及贝叶斯定理、一维随机变量及概率分 布、二维随机变量及其分布、随机变量的数字特征、 大数定律和中心极限定理、样本及抽样分布、参数估 计、假设检验、线性回归、方差分析等知识。本书强 调通用性和适用性，兼顾先进性，起点低，难度适 中，语言简洁明了，不仅适用于课堂教学使用，同时 也适用于自学自习。全书每章有习题配置，题量适 中，题型全面，书后附有答案。本书读者对象为高等 院校理工、财经、医药、农林等专业大学生和教师， 特别适合作为中外合作办学的国际教育班的学生以及 准备出国留学深造学生的参考书。

Part A Probability and Random Variables 1 Axioms of Probability 1. i Introduction 1.2 Sample Space and Events 1.3 The Relative Frequency Definition of Probability 1.4 Axioms of Probability 1.5 Sample Spaces Having Equally Likely Outcomes 1.6 Conditional Probability 1.7 The Law of Total Probability ( Partition Theorem) 1.8 Bayes' Theorem Exercises 2 Random Variables and Their Distributions 2. 1 Random Variables 2. 2 Discrete Random Variables 2.3 Some Important Discrete Probability Distributions 2. 3.1 Uniform Distribution (Discrete Case) 2.3.2 Bernoulli Trial 2. 3.3 Binomial Distribution 2.3.4 Poisson Distribution 2.3.5 Geometric Distribution 2. 4 Cumulative Distribution Functions 2.5 Continuous Random Variables 2.6 Some Important Continuous Probability Distributions 2. 6. 1 Uniform Distribution (Continuous Case) 2.6. 2 Normal Distribution 2.6. 3 Exponential Distribution 2. 7 Distributions of Functions of a Random Variable Exercises 3 Multivariate Random Variables 3.1 Joint Distribution Function 3.1.1 Joint Distribution Function: Discrete Case 3.1.2 Joint Distribution Function: Continuous Case 3.2 Independent Random Variables 3.3 Conditional Distributions 3.3.1 Conditional Distributions: Discrete Case 3.3.2 Conditional Distributions: Continuous Case 3.4 Two Particular Multivariate Distribution 3.4. 1 Uniform Distribution 3.4.2 Bivariate Normal Distribution 3.5 Distributions of Special Functions of Two Random Variables 3.5.1 Discrete Multivariate Random Variable 3.5.2 Continuous Multivariate Random Variable Exercises 4 The Expectation and Variance 4. 1 Expectations of Random Variables 4. 2 The Variance of Random Variables 4. 3 Some Important Expectations and Variance 4. 3.1 Uniform Distribution ( Discrete Case) 4.3.2 Binomial Distribution 4.3.3 Poisson Distribution