《高等學校教材·機率論與數理統計》是高等教育出版社2008年5月1日出版的圖書。
《高等學校教材?機率論與數理統計(英文版)》介紹了隨機事件及其機率、隨機變數與機率分布、連續型隨機變數、多維隨機變數和中心極限定理、統計描述、參數估計、假設檢驗、非參數統計、回歸分析以及方差分析。
基本介紹
- 書名：高等學校教材·機率論與數理統計
- 又名：Probability and Statistics
- ISBN：9787040236057
- 開本：16
圖書信息,內容簡介,目錄,
圖書信息
出版社: 高等教育出版社; 第1版 (2008年5月1日)
外文書名: Probability and Statistics
平裝: 298頁
正文語種: 英語
開本: 16
ISBN: 9787040236057
條形碼: 9787040236057
尺寸: 22.6 x 16.8 x 1.2 cm
重量: 381 g
內容簡介
《高等學校教材?機率論與數理統計(英文版)》介紹了隨機事件及其機率、隨機變數與機率分布、連續型隨機變數、多維隨機變數和中心極限定理、統計描述、參數估計、假設檢驗、非參數統計、回歸分析以及方差分析。
目錄
1 Introduction
2 Probability
2.1 Sample Space
2.2 Events
2.3 Probability of Events
2.4 Laws of Probability
2.5 Conditional Probability
2.6 Bayes' Rule
Exercises 2
3 Random Variables
3.1 Definition of Random Variables
3.2 Discrete Random Variables
3.3 Expectation and Variance
3.4 Binomial Distribution
3.5 Poisson Distribution
Exercises 3
4 Continuous Random Variables
4.1 Continuous Random Variables
4.2 Uniform Distribution
4.3 Normal Distribution
4.4 Normal Approximation to the Binomial Distribution
4.5 Exponential Distribution
4.6 Function of Random Variables
4.7 Chebyshev's Theorem
Exercises 4
5 Random Vectors and Joint Probability Distributions
5.1 Concept of Joint Probability Distributions
5.2 Conditional Distribution
5.3 Statistical Independent
5.4 Covariance and Correlation
5.5 Law of Large Numbers and Central Limit Theorem
Exercises 5
6 Fundamental Sampling Distributions and Data Descriptions
6.1 Analysis of Data
6.2 Random Sampling
6.3 Statistics
6.4 Sample Distributions
6.5 Chi-square Distribution
6.6 Student's Distribution (t-Distribution)
6.7 F-Distribution
Exercises 6
7 Estimation Problems
7.1 Point Estimation
7.2 Interval Estimation
7.3 Determination of the Sample Size
7.4 Maximum Likelihood Estimation
Exercises 7
8 Testing Hypothesis
8.1 Statistical Hypothesis:General Concepts
8.2 Testing a Statistical Hypothesis
8.3 Hypothesis Concerning Mean
8.4 Hypothesis Concerning Variance
8.5 Relationship to Confidence Interval Estimation
8.6 Tests for Proportion
8.7 Tests for Independence
8.8 Goodness-of-Fit Test
Exercises 8
9 Nonparametric Statistics
9.1 Sign Test
9.2 Rank-Sum Test
9.3 Signed-Rank Test
Exercises 9
10 Regression and Correlation
10.1 Introduction
10.2 Simple Linear Regression Equation
10.3 Parameter Estimation
10.4 Tests the Usefulness of the Linear Regression Model
10.5 Predictions
10.6 Multiple Linear Regression
10.7 Linearizable Models
10.8 Normal Correlation Model
Exercises 10
11 Analysis of Variance
11.1 Introduction
11.2 One-Way Analysis of Variance
11.3 Two-Way Analysis of Variance
Exercises 11
Answer to Exercises
Review Exercises
Appendix
References
