[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 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