《機率論與數理統計》是2019年中國石化出版社出版的圖書。作者是王偉，本書內容主要包括隨機事件與機率、隨機變數及其分布、隨機向量及其分布、隨機變數的數字特徵、大數定律和中心限定理。
基本介紹
- 書名：機率論與數理統計
- 作者：王偉
- 出版社：中國石化出版社
- ISBN：9787511455789
內容簡介,圖書目錄,作者簡介,
內容簡介
本書是高等院校留學研究生及本科生機率論與數理統計課程外文數材，內容主要包括隨機事件與機率、隨機變數及其分布、隨機向量及其分布、隨機變數的數字特徵、大數定律和中心限定理、抽樣分布、參數估計、侵設檢驗等.本書內容取材合理,例題典型新穎，題目形式多樣，便於教學，可供不同層次要求的學生選用。
圖書目錄
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
作者簡介
王偉，西安石油大學計算機學院副教授，多年從事國內及外國留學生的本科教學工作，積累的豐富的教學和教材編寫經驗。
郭穎敏，西安石油大學外國語學院教師，畢業於西安外國語大學，主持並參與了多項各級基金項目。
