概率論與數理統計 (英文) (第2版) 桂文豪 王立春 孔令臣 9787512149496 【台灣高等教育出版社】

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書名：概率論與數理統計 (英文) (第2版)
ISBN：9787512149496
出版社：北京交通大學
著編譯者：桂文豪 王立春 孔令臣
頁數：283
所在地：中國大陸 *此為代購商品
書號：1542504
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內容簡介

本書根據編者多年的雙語教學經驗編寫，介紹了概率論與數理統計的基本概念、原理、計算方法，以及實際應用。在編寫過程中，吸取了國內外優秀教材的優點，注重理論與實踐相結合，系統性強，圖例豐富，突出統計思想，著力培養學生分析問題和解決實際問題的能力。 本書主要內容包括概率與隨機事件、隨機變數及其分佈、多維隨機變數及其分佈、隨機變數的數字特徵、大數定律和中心極限定理、參數估計、假設檢驗、線性回歸分析和統計軟體R的介紹。每章中精選了實用性強的例題和習題。 本書可作為高等院校理工科各專業本科生「概率論與數理統計」課程的雙語教材，也可供工程技術人員、科技工作者參考。

目錄

Chapter 1 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
Exercise 1
Chapter 2 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 Usefu1 Continuous Distributions
2 7 Functions of a Random Variable
Exercise 2
Chapter 3 Multivariate Probability Distributions
3 1 Bivariate Distributions
3 2 Marginal Distributions
3 3 Conditional Distrmutions
3 4 Independent Random Variables
3 5 Functions of Two or More Random Variables
Exercise 3
Chapter 4 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 Covariance Matrix
Exereise 4
Chapter 5 Large Random Samples
5 1 The Law of Large Numbers
5 2 The CentraI Limit Theorem
Exercise 5
Chapter 6 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
Exercise 6
Chapter 7 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
Exercise 7
Chapter 8 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
Exercise 8
Chapter 9 Introduction to R language
9 1 Features of R Language
9 2 R Installation
9 3 Vector， Matrix and Data Frame
9 4 Loop and Branch Control Statements
9 5 Common Probability Distributions
9 6 Some Examples
Appendix A Binomial Probability Distribution
Appendix B Poisson Cmnulative Distribution
Appendix C Standard Normal Table
Appendix D t-distribution Upper Quantiles tα(n)
Appendix E f-distribution Upper QuantilessX2α(n)
Appendix F F-distribution Upper Quantiles R(n1，n2)
Appendix G Some Common Probability Distributions
Bibliography

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