概率与统计

Preface

1 IntrOduCtiONtoStatisticsandProbability

1.1 Overview：StatisticalInference，Samples，Populations，andthe

RoleofProbability

l.2 SamplingProcedures；CollectionofData

l.3 DiscreteandContinuousData

1.4 Probability：SampleSpaceandEvents

Exercises

1.5 CountingSamplePoints

Exercises

1.6 ProbabilityofanEvent

1.7 AdditiveRules

Exercises

1.8 ConditionalProbability，Independence，andtheProductRule

EXercises

1.9 Bayes’Rule

EXercises

RevJewExercises

2 RandomVariables，Distributions

andExpectations

2.1 ConceptofaRandomVariable

2.2 DiscretcProbabilityDistributions

2.3 ContinuousProbabilityDistributions

EXCrCiscS

2.4 JointProbabilityDistributions

EXcrCiscS

2.5 McanofaRandomVariable

EXcrciscs

2.6 VarineeandCovarianceofRandomVariablessl

Exercisess

2.7 MesnsandVariancesofI，inem"Combin~tionsofRandomVariables

Exercises

ReviewExerdses

2sPotentiaLMisconceptionsandHazards

RelationshiptoMa~erialinOtherChapters

3 SomeProbabilityDistributions

3.1 IntroductionandMotivation

3.2 BinomialandMultinomialDistributions

Exercises

3.3 HypergeometricDistribution

Exercises

3.4 NegativeBinomialandGeometricDistributions

n5PoissonDistributionandthePoissonProcess

Exercises

3.6 ContinuousUniformDistribution

3.7 NonnalDistribution

3.8 sAteasundertheNormalCurve

3.9 ApplicationsoftheNormalDistrihution

Exercises

31.0NormalApproximationtotheBinomial

Exercises

3.11 GaromaandExponentialDistrlbutlons

3.12 Chi-SquaredDistribution

Exercises

ReviewExercises

313PotelitialMisconceptionsandHazardsRelationshiptoMaterialinOtherChapters

4 SamplingDistributionsandDataDescriptions

4.1 RandomSampling

4.2 SomeImportantStatisticsExercises

4.3 SamplingDistributions

4.4 SamplingDistributionOFeansandtheCentralLimitTheoremExercises

4.5 SamplingDistributionofS

《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。