作者：魏军强
页数：215
出版社：北京交通大学出版社
出版日期：2017
ISBN：9787512137233
电子书格式：pdf/epub/txt
内容简介
Probability and Statistics is a mathematical discipline which studies stochastic phenomena. Now it is widely used in industry, economics, science and technologies. This course is one of the important basic courses for engineering majors in comprehensive universities. The textbook will include the general conceptions and methods about probability and statistics. The main topics are as the following.
Basic probability concepts; Random experiment; Sample spaces; Rules of probability; Counting techniques; Conditional probability; Independence. Discrete and continuous random variables. Sampling methods, Descriptive Statistics, Sampling distributions, The Student-t distribution, F-distribution and Chi-Square distribution, Point estimation. Confidence intervals. Testing hypotheses. Statistical software like Excel and/or Matlab will be used.
作者简介
魏军强，男，中共党员，博士，副教授，硕士生导师。主持或参与完成国家自然科学基金项目两项，中央高校基本科研业务费项目和横向项目多项，发表论文近20篇。承担普通高等教育本科生、国际教育本科生和留学生的《高等数学》、《概率论与数理统计》、《线性代数》等工科数学的教学工作，主持或参与完成北京市教改项目两项，大学教改项目四项，参与编写出版教材和教学辅导书4本。指导大学生参加大学生数学建模竞赛，多人次获奖。
本书特色
1.“大家”执笔，结构清晰，内容丰富，言简意赅。
2.案例精彩，分析精辟。
3.资料齐全，免费赠送，值得拥有。
目录
Chapter 1 Probability and Its Properties
1．1 Basic Probability Concepts
1．2 Axioms and Properties of Probability
1．2．1 Axioms Definition of Probability
1．2．2 Properties of Probability
1．3 Classical Probability and Counting Techniques
1．3．1 Counting Principles
1．3．2 Classical Probability
1．4 Conditional Probability， Independence of Two and Several Events
1．4．1 Conditional Probability
1．4．2 Independence
1．5 Law of Total Probability and Bayes’ Theorem
Exercises
Chapter 2 Random Variables and Their Distributions
2．1 Random Variables
2．2 Distribution of a Random Variable and Distribution Function
2．3 Classical Discrete Random Variables and Continuous Random Variables
2．3．1 Discrete Distribution
2．3．2 Continuous Distribution
2．4 Distribution of Functions of a Random Variable
Exercises
Chapter 3 Random Vectors and Their Distributions
3．1 Jointly Distributed Random Variables
3．2 Marginal Distribution and Conditional Distribution of Two Random Variables
3．3 Independent Random Variables
3．4 Distribution of Functions of Two Random Variables
Exercises
Chapter 4 Expectations and Moments
4．1 Mathematical Expectation and Its Properties
4．1．1 Mathematical Expectation
4．1．2 Properties of the Expectation
4．2 Variance and Its Properties
4．2．1 Definition of the Variance
4．2．2 Properties of the Variance
4．3 Expectations and Variances of Special Probability Distributions
4．3．1 Case for Common Discrete Random Variables
4．3．2 Case for Common Continuous Random Variables
4．4 Moments
4．4．1 Covariance and Correlation Coefficients
4．4．2 Moments
Exercises
Chapter 5 The Law of Large Numbers and the Central Limit Theorem
5．1 The Law of Large Numbers and Its Applications
5．1．1 Chebyshev’s Inequality
5．1．2 The Law of Large Numbers
5．2 The Central Limit Theorem and Its Applications
Exercises
Chapter 6 Basic Conceptions of Statistics
6．1 Basic Conceptions of Sampling
6．2 Descriptive Statistics
6．2．1 Summarizing Data-Numerical Methods
6．2．2 Summarizing Data-Graphical Methods
6．3 Fundamental Sampling Distributions
6．3．1 The Chi-squared Distribution
6．3．2 The t-Distribution
6．3．3 The F-Distribution
6．4 Sampling Distribution Theorems
Exercises
……
Chapter 7 Parameter Estimation
Chapter 8 Hypothesis Testing
Chapter 9 Understanding Monte Carlo Method and Statistics Software
Appendix A Tables
Bibliography
