Essentials of probability & statistics for engineers & scientists
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ISBN：9787111425069
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简介
《概率与统计(英文版)/华章统计学原版精品系列》编著者沃波尔
本书是数理统计学的优秀入门教材，深入浅出地介绍了统计理论与方法。通过大量的实际数据例子强调概率模型和统计方法的应用，使读者更能洞悉和体会统计思维与统计方法的本质。本书主要内容包括：统计与概率导论，随机变量、分布和数学期望，概率分布，抽样分布和数据描述，单样本和两样本的估计问题。单样本和两样本的假设检验，线性回归，析因试验等。
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 显示全部信息
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 显示全部信息
Essentials of probability & statistics for engineers & scientists
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