数理统计学导论（英文版·第7版）

图书标准信息

• 作者 [美]Robert V.、Joseph W.、Allen 著
• 出版社 机械工业出版社
• 出版时间 2012-06
• 版次 7
• ISBN 9787111385806
• 定价 99.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 694页
• 正文语种 英语
• 丛书 华章统计学原版精品系列

【内容简介】

　　《数理统计学导论（英文版·第7版）》英文影印版由Pearson Education Asia Ltd.授权机械工业出版社独家出版。未经出版者书面许可，不得以任何方式复制或抄袭本书内容。

【目录】

Preface
1ProbabilityandDistributio
1.1Introduction
1.2SetTheory
1.3TheProbabilitySetFunction
1.4ConditionalProbabilityandIndependence
1.5RandomVariables
1.6DiscreteRandomVariables
1.6.1naformatio
1.7ContinuousRandomVariables
1.7.1naDSformatio
1.8ExpectationofaRandomVariable
1.9SomeSpecialExpectatio
1.10ImportantInequalities
2MultivariateDistributio
2.1DistributioofTwoRandomVariables
2.1.1Expectation
2.2naformatio：BivariateRandomVariables
2.3ConditionalDistributioandExpectatio
2.4TheCorrelationCoefficient
2.5IndependentRandomVariables
2.6ExteiontoSeveralRandomVariables
2.6.1*MultivariateVariance-CovarianceMatrix
2.7naformatioforSeveralRandomVariables
2.8LinearCombinatioofRandomVariables
3SomeSpecialDistributio
3.1TheBinomialandRelatedDistributio
3.2ThePoissonDistribution
3.3TheГ，χ2，andβDistributio
3.4TheNormalDistribution
3.4.1ContaminatedNormals
3.5TheMultivariateNormalDistribution
3.5.1*Applicatio
3.6t-andF-Distributio
3.6.1Thet-distribution
3.6.2TheF-distribution
3.6.3Student’STheorem
3.7MixtureDistributio
4SomeElementaryStatisticalInferences
4.1SamplingandStatistics
4.1.1HistogramEstimatesofpmfsandpdfs
4.2ConfidenceIntervals
4.2.1ConfidenceIntervalsforDifferenceinMea
4.2.2ConfidenceIntervalforDifferenceinProportio
4.3ConfidenceIntervalsforParameteofDiscreteDistributio
4.4CIrderStatistics
4.4.1Quantiles
4.4.2ConfidenceIntervalsforQuantiles
4.5IntroductiontoHypothesisTesting
4.6AdditionalCommentsAboutStatisticalTests
4.7Chi-SquareTests
4.8TheMethodofMonteCarlo
4.8.1Accept-RejectGenerationAlgorithm
4.9BootstrapProcedures
4.9.1PercentileBootstrapConfidenceIntervals
4.9.2BootstrapTestingProcedures
4.10*ToleranceLimitsforDistributio
5CoistencyandLimitingDistributio
5.1ConvergenceinProbability
5.2ConvergenceinDistribution
5.2.1BoundedinProbability
5.2.2△-Method
5.2.3MomentGeneratingFunctionTechnique
5.3CentralLimitTheorem
5.4*ExteiotoMultivariateDistributio
6MaximumLikelihoodMethods
6.1MaximumLikeli.hoodEstimation
6.2Rao-Cram6rLowerBoundandE伍ciency
6.3MaximumLikelihoodTests
6.4MultiparameterCase：Estimation
6.5MultiparameterCase：Testing
6.6TheEMAlgorithm
7Sufficiency
7.1MeasuresofQualityofEstimato
7.2ASu伍cientStatisticforaParameter
7.3PropertiesofaSufficientStatistic
7.4CompletenessandUniqueness
7.5TheExponentialClassofDistributio
7.6FunctioofaParameter
7.7TheCuseofSeveralParamete
7.8MinimalSufficiencyandAncillaryStatistics
7.9Sufficiency,Completeness.andIndependence
8OptimalTestsofHypotheses
8.1MostPowerfulTests
8.2UniformlyMostPowerfulTests
8.3LikelihoodRatioTests
8.4TheSequentialProbabilityRatioTest
8.5MinimaxandClassificationProcedures
8.5.1MinimaxProcedures
8.5.2Classification
9InferencesAboutNormalMOdels
9.1QuadraticForms
9.2One-WayANOVA
9.3Noncentralχ2andF-Distributio
9.4MultipleCompariso
9.5TheAnalysisofVariance
9.6ARegressionProblem
9.7ATestofIndependence
9.8TheDistributioofCertainQuadraticForms
9.9TheIndependenceofCertainQuadraticForills
10NonparametricandRobustStatistics
10.1LocationModels
10.2SampleMedianandtheSignTest
10.2.1AsymptoticRelativeEfficiency
10.2.2EstimatingEquatioBasedontheSignTest
10.2.3ConfidenceIntervalfortheMedian
10.3Signed-RankWilcoxon
10.3.1AsymptoticRelativeEmciency
10.3.2EstimatingEquatioBasedonSigned-RankWilcoxon
10.3.3ConfidenceIntervalfortheMedian
10.4Mann-Whitnev-WilcoxonProcedure
10.4.1AsymptoticRelativeEfficiency
10.4.2EstimatingEquatioBasedontheMann-Whitney-Wilcoxon
10.4.3ConfidenceIntervalfortheShiftParameter△
10.5GeneralRankScores
10.5.1Efficacy
10.5.2EstimatingEquatioBasedonGeneralScores
10.5.30ptimization：BestEstimates
10.6AdaptiveProcedures
10.7SimpleLinearModel
10.8MeasuresofAssociation
10.8.1Kendall’Sт
10.8.2Spearman’SRho
10.9RobustConcepts
10.9.1LocationModel
10.9.2LinearModel
11BayesianStatistics
11.1SubjectiveProbability
11.2BayesianProcedures
11.2.1PriorandPosteriorDistributio
11.2.2BayesianPointEstimation
11.2.3BayesianIntervalEstimation
11.2.4BayesianTestingProcedures
11.2.5BayesianSequentialProcedures
11.3MoreBayesianTerminologyandIdeas
11.4GibbsSampler
11.5ModernBayesianMethods
11.5.1EmpiricalBayes
AMathematicalComments
A.1RegularityConditio
A.2Sequences
BRFunctio
CTablesofDistributio
DListsofCommonDistributio
EReferences
FAwetoSelectedExercisds
Index