图书信息

内容简介

目录

图书信息

出版社: 高等教育出版社; 第1版 (2008年5月1日)

外文书名: Probability and Statistics

平装: 298页

正文语种: 英语

开本: 16

ISBN: 9787040236057

条形码: 9787040236057

尺寸: 22.6 x 16.8 x 1.2 cm

重量: 381 g

内容简介

《高等学校教材?概率论与数理统计(英文版)》介绍了随机事件及其概率、随机变量与概率分布、连续型随机变量、多维随机变量和中心极限定理、统计描述、参数估计、假设检验、非参数统计、回归分析以及方差分析。

目录

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