概率与统计(英文版)
作者:(美)沃波尔 等著
出版时间:2013年版
内容简介
《华章统计学原版精品系列:概率与统计(英文版)》中的统计方法大多是现代统计学的常用统计理论与方法,在介绍每一种统计方法前都详细叙述统计方法的思想。注重实际应用。把抽象的统计理论与方法进行直观描述与总结,不偏重理论的推导,而是注重具体应用。内容丰富,实用性强。书中含有大量的例子和习题,通过真实、科学的模型方案和数据使读者掌握统计方法。这些例子和习题不局限于工程领域,还包括一些社会学、经济学、生物学、物理学和计算机科学领域的应用。要求数学知识少。只要读者掌握基本的微积分和非常简单的矩阵运算知识,就可以畅通无阻地阅读全书,并能应用所介绍的统计方法。
目录
Preface
1 Introduction to Statistics and Probability
1.1 Overview: Statistical Inference, Samples, Populations, and the Role of Probability
1.2 Sampling Procedures; Collection of Data
1.3 Discrete and Continuous Data
1.4 Probability: Sample Space and Events
Exercises
1.5 Counting Sample Points
Exercises
1.6 Probability of an Event
1.7 Additive Rules
Exercises
1.8 Conditional Probability, Independence, and the Product Rule ...
Exercises
1.9 Bayes' Rule
Exercises
Review Exercises
2 Random Variables, Distributions,and Expectations
2.1 Concept of a Random Variable
2.2 Discrete Probability Distributions
2.3 Continuous Probability Distributions
Exercises
2.4 Joint Probability Distributions
Ex.ercises
2.5 Mean of a Random Variable
Exercises
2.6 Variance and Covariance of Random Variables
Exercises t
2.7 Means and Variances of Linear Combinations of Random Variables Exercises
Review Exercises
2.8 Potential Misconceptions and Hazards;Relationship to Material in Other Chapters
3 Some Probability Distributions
3.1 Introduction and Motivation
3.2 Binomial and Multinomial Distributions
Exercises
3.3 Hypergeometric Distribution
Exercises
3.4 Negative Binomial and Geometric Distributions
3.5 Poisson Distribution and the Poisson Process
Exercises
3.6 Continuous Uniform Distribution
3.7 Normal Distribution
3.8 Areas under the Normal Curve
3.9 Applications of the Normal Distribution
Exercises
3,10 Normal Approximation to the Binomial
Exercises
3.11 Gamma and Exponential Distributions
3.12 Chi-Squared Distribution
Exercises
Review Exercises
3.13 Potential Misconceptions and Hazards;
Relationship to Material in Other Chapters
4 Sampling Distributions and Data Descriptions
4.1 Random Sampling
4.2 Some Important Statistics
Exercises
4.3 Sampling Distributions
4.4 Sampling Distribution of Means and the Central Limit Theorem
Exercises
4.5 Sampling Distribution of S2
5 One—and Two-Sample Estimation Problems
6 One—and Two-Sample Tests of Hypotheses
7 Linear Regression
8 One-Factor Experiments:General
9 Factorial Experiments(Two or More Factors)
Bibliography
Appendix A:Statistical Tables and Proofs
Appendix B:Answers to Odd—Numbered
Non.Review Exercises
Index