概率论与数理统计 英文版
作者：桂文豪，王立春，孔令臣编著
出版时间： 2018年版
内容简介
本书根据编者多年的双语教学经验编写，介绍了概率论与数理统计的基本概念、原理、计算方法，以及实际应用.在编写过程中，吸取了国内外优秀教材的优点，注重理论与实践相结合，系统性强，图例丰富，突出统计思想，着力培养学生分析问题和解决实际问题的能力.本书主要内容包括概率与随机事件、随机变量及其分布、多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、参数估计、假设检验、线性回归分析.每章中精选了的实用性强的例题和习题.本书可作为高等院校理工科各专业本科生的概率论与数理统计课程双语教材，也可供工程技术人员、科技工作者参考
目录
Chapter１ Introduction to Probability
１．１ Random Experiments
１．２ Sample Space
１．３ Relations and Operations between Events
１．４ The Definition of Probability
１．５ Equally Likely Outcomes Model
１．６ Conditional Probability
１．７ Total Probability and Bayes' Theorem
１．８ Independent Events
Exercise１
Chapter２ Random Variables and Distributions
２．１ Random Variables
２．２ Cumulative Distribution Function
２．３ Discrete Distributions
２．４ Some Common Discrete Distributions
２．５ Continuous Distributions
２．６ Some Useful Continuous Distributions
２．７ Functions of a Random Variable
Exercise２
Chapter３ Multivariate Probability Distributions
３．１ Bivariate Distributions
３．２ Marginal Distributions
３．３ Conditional Distributions
３．４ Independent Random Variables
３．５ Functions of TwoorMoreRandom Variables
Exercise３
Chapter４ Characteristics of Random Variables
４．１ The Expectation of a Random Variable
４．２ Variance
４．３ The Characteristics of some Common Distributions
４．４ Chebyshev's Inequality
４．５ Covariance and Correlation Coefficient
４．６ Moment and CovarianceMatrix
Exercise４
Chapter５ Large Random Samples
５．１ The Law of Large Numbers
５．２ The Central Limit Theorem
Exercise５
Chapter６ Estimation
６．１ Population and Sample
６．２ Moment Estimation
６．３ Maximum Likelihood Estimation
６．４ Properties of Estimators
６．５ Three Important Distributions
６．６ Confidence Intervals
Exercise６
Chapter７ Hypothesis Testing
７．１ Basics of Hypothesis Testing
７．２ Hypothesis Tests for a Population Mean
７．３ Testing Differences between Means
７．４ Hypothesis Tests for One or Two Variances
７．５ Goodness of Fit Tests
Exercise７
Chapter８ Linear Regression
８．１ Linear Regression Model
８．２ Least Squares Estimation
８．３ Properties of Linear Regression Estimators
８．４ Inferences Concerning the Slope
８．５ Regression Validity
８．６ Confidence Interval for Mean Response
８．７ Inference for Prediction
Exercise８
Appendix A Binomial Probability Distribution
Appendix B Poisson Cumulative Distribution
Appendix C Standard Normal Table
Appendix D t-distribution Upper Quantiles tα(n)
Appendix E χ２-distribution Upper Quantiles χ２α(n)
Appendix F F-distribution Upper Quantiles Fα(n１,n２)
Appendix G Some Common Probability Distributions
Bibliography
