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内容简介
《概率论与数理统计》(第5版影印版)着重思维、层次分明、大量案例与练习以统计软件Minitab作统计分析，使用方便，适合于工科、经济、管理类专业学生作为概率统计双语教材使用，也可供教师教学参考。《概率论与数理统计》主要内容有：0.统计学简介；1.用图表描述数据；2.用数值方法描述数据；3.双变量数据的描述；4.概率及概率分布；5.几个有用的离散型分布；6.正态概率分布；7.抽样分布；8.大样本估计；9.大样本假设检验；10.从小样本推断；11.方差分析；12.线性回归及相关性；13.多元线性回归；14.范畴数据分析；15.非参数统计。书后给出了部分习题答案。
目 录
1 OverviewandDescriptiveStatistics1 Introduction1 1.1Populations,Samples,andProcesses3 1.2PictorialandTabularMethodsinDescriptiveStatistics11 1.3MeasuresofLocation28 1.4MeasuresofVariability36 SupplementaryExercises48 Bibliography51 2 Probability52 Introduction52 2.1SampleSpacesandEvents53 2.2Axioms,Interpretations,andPropertiesofProbability58 2.3CountingTechniques67 2.4ConditionalProbability75 2.5Independence86 SupplementaryExercises92 Bibliography95 3 DiscreteRandomVariables andProbabilityDistributions96 Introduction96 3.1RandomVariables96 3.2ProbabilityDistributionsforDiscreteRandomVariables100 3.3ExpectedValuesofDiscreteRandomVariables110 3.4TheBinomialProbabilityDistribution119 3.5HypergeometricandNegativeBinomialDistributions127 3.6ThePoissonProbabilityDistribution134 SupplementaryExercises139 Bibliography142 4 ContinuousRandomVariablesandProbabilityDistributions143 Introduction143 4.1ContinuousRandomVariablesandProbabilityDensityFunctions143 4.2CumulativeDistributionFunctionsandExpectedValues149 4.3TheNormalDistribution158 4.4TheGammaDistributionandItsRelatives171 4.5OtherContinuousDistributions178 4.6ProbabilityPlots185 SupplementaryExercises196 Bibliography200 5 JointProbabilityDistributionsandRandomSamples201 Introduction201 5.1JointlyDistributedRandomVariables202 5.2ExpectedValues,Covariance,andCorrelation215 5.3StatisticsandTheirDistributions221 5.4TheDistributionoftheSampleMean233 5.5TheDistributionofaLinearCombination239 SupplementaryExercises245 Bibliography248 6 PointEstimation249 Introduction249 6.1SomeGeneralConceptsofPointEstimation250 6.2MethodsofPointEstimation265 SupplementaryExercises274 Bibliography275 7 StatisticalIntervalsBasedonaSingleSample277 Introduction277 7.1BasicPropertiesofConfidenceIntervals278 7.2Large-SampleConfidenceIntervalsforaPopulationMeanand Proportion287 7.3IntervalsBasedonaNormalPopulationDistribution295 7.4ConfidenceIntervalsfortheVarianceandStandardDeviationofaNormalPopulation304 SupplementaryExercises307 Bibliography309 8 TestsofHypothesesBasedonaSingleSample310 Introduction310 8.1HypothesesandTestProcedures311 8.2TestsAboutaPopulationMean321 8.3TestsConcerningaPopulationProportion334 8.4P-Values339 8.5SomeCommentsdata-xssingaTestProcedure347 SupplementaryExercises350 Bibliography353 9 InferencesBasedonTwoSamples354 Introduction354 9.1zTestsandConfidenceIntervalsforaDifferenceBetweenTwoPopulationMeans355 9.2TheTwo-SampletTestandConfidenceInterval366 9.3AnalysisofPairedData374 9.4InferencesConcerningaDifferenceBetweenPopulationProportions384 9.5InferencesConcerningTwoPopulationVariances392 SupplementaryExercises396 Bibliography401 10 TheAnalysisofVariance402 Introduction402 10.1Single-FactorANOVA403 10.2MultipleComparisonsinANOVA414 10.3MoreonSingle-FactorANOVA420 SupplementaryExercises430 Bibliography432 11 MultifactorAnalysisofVariance433 Introduction433 11.1Two-FactorANOVAwithKij=1434 11.2Two-FactorANOVAwithKij>1448 11.3Three-FactorANOVA457 11.42pFactorialExperiments468 SupplementaryExercises483 Bibliography486 12 SimpleLinearRegressionandCorrelation488 Introduction488 12.1TheSimpleLinearRegressionModel489 12.2EstimatingModelParameters497 12.3InferencesAbouttheSlopeParameterB1512 12.4InferencesConcerninguY.xandthePredictionofFutureYValues520 12.5Correlation528 SupplementaryExercises538 Bibliography542 13 NonlinearandMultipleRegression543 Introduction543 13.1AptnessoftheModelandModelChecking544 13.2RegressionwithTransformedVariables552 13.3PolynomialRegression562 13.4MultipleRegressionAnalysis573 13.5OtherIssuesinMultipleRegression597 SupplementaryExercises610 Bibliography615 14 TheAnalysisofCategoricalData616 Introduction616 14.1Goodness-of-FitTestsWhenCategoryProbabilitiesAreCompletelySpecified617 14.2GoodnessofFitforCompositeHypotheses625 14.3Two-WayContingencyTables638 SupplementaryExercises646 Bibliography648 15 Distribution-FreeProcedures649 Introduction649 15.1TheWilcoxonSigned-RankTest650 15.2TheWilcoxonRank-SumTest659 15.3Distribution-FreeConfidenceIntervals666 15.4Distribution-FreeANOVA671 SupplementaryExercises675 Bibliography677 16 QualityControlMethods678 Introduction678 16.1GeneralCommentsonControlCharts679 16.2ControlChartsforProcessLocation681 16.3ControlChartsforProcessVariation690 16.4ControlChartsforAttributes695 16.5CUSUMProcedures700 16.6AcceptanceSampling709 SupplementaryExercises715 Bibliography716 AppendixTables717 A.1CumulativeBinomialProbabilities718 A.2CumulativePoissonProbabilities720 A.3StandardNormalCurveAreas722 A.4TheIncompleteGammaFunction724 A.5CriticalValuesfortDistributions725 A.6ToleranceCriticalValuesforNormalPopulationDistributions726 A.7CriticalValuesforChi-SquaredDistributions727 A.8tCurveTailAreas728 A.9CriticalValuesforFDistributions730 A.10CriticalValuesforStudentizedRangeDistributions736 A.11Chi-SquaredCurveTailAreas737 A.12CriticalValuesfortheRyan-JoinerTestofNormality739 A.13CriticalValuesfortheWilcoxonSigned-RankTest740 A.14CriticalValuesfortheWilcoxonRank-SumTest741 A.15CriticalValuesfortheWilcoxonSigned-RankInterval742 A.16CriticalValuesfortheWilcoxonRank-SumInterval743 A.17CurvesfortTests744 AnswerstoOdd-NumberedExercises745 Index765
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