概率論與數(shù)理統(tǒng)計(jì)

內(nèi)容概要

《概率論與數(shù)理統(tǒng)計(jì)》(第5版影印版)著重思維、層次分明、大量案例與練習(xí)以統(tǒng)計(jì)軟件Minitab作統(tǒng)計(jì)分析，使用方便，適合于工科、經(jīng)濟(jì)、管理類專業(yè)學(xué)生作為概率統(tǒng)計(jì)雙語(yǔ)教材使用，也可供教師教學(xué)參考?！陡怕收撆c數(shù)理統(tǒng)計(jì)》主要內(nèi)容有：0.統(tǒng)計(jì)學(xué)簡(jiǎn)介；1.用圖表描述數(shù)據(jù)；2.用數(shù)值方法描述數(shù)據(jù)；3.雙變量數(shù)據(jù)的描述；4.概率及概率分布；5.幾個(gè)有用的離散型分布；6.正態(tài)概率分布；7.抽樣分布；8.大樣本估計(jì)；9.大樣本假設(shè)檢驗(yàn)；10.從小樣本推斷；11.方差分析；12.線性回歸及相關(guān)性；13.多元線性回歸；14.范疇數(shù)據(jù)分析；15.非參數(shù)統(tǒng)計(jì)。書(shū)后給出了部分習(xí)題答案。

作者簡(jiǎn)介

作者：(美國(guó))德沃爾 (Devore.J.L.)

書(shū)籍目錄

1　OverviewandDescriptiveStatistics1Introduction11.1Populations,Samples,andProcesses31.2PictorialandTabularMethodsinDescriptiveStatistics111.3MeasuresofLocation281.4MeasuresofVariability36SupplementaryExercises48Bibliography512　Probability52Introduction522.1SampleSpacesandEvents532.2Axioms,Interpretations,andPropertiesofProbability582.3CountingTechniques672.4ConditionalProbability752.5Independence86SupplementaryExercises92Bibliography953　DiscreteRandomVariablesandProbabilityDistributions96Introduction963.1RandomVariables963.2ProbabilityDistributionsforDiscreteRandomVariables1003.3ExpectedValuesofDiscreteRandomVariables1103.4TheBinomialProbabilityDistribution1193.5HypergeometricandNegativeBinomialDistributions1273.6ThePoissonProbabilityDistribution134SupplementaryExercises139Bibliography1424　ContinuousRandomVariablesandProbabilityDistributions143Introduction1434.1ContinuousRandomVariablesandProbabilityDensityFunctions1434.2CumulativeDistributionFunctionsandExpectedValues1494.3TheNormalDistribution1584.4TheGammaDistributionandItsRelatives1714.5OtherContinuousDistributions1784.6ProbabilityPlots185SupplementaryExercises196Bibliography2005　JointProbabilityDistributionsandRandomSamples201Introduction2015.1JointlyDistributedRandomVariables2025.2ExpectedValues,Covariance,andCorrelation2155.3StatisticsandTheirDistributions2215.4TheDistributionoftheSampleMean2335.5TheDistributionofaLinearCombination239SupplementaryExercises245Bibliography2486　PointEstimation249Introduction2496.1SomeGeneralConceptsofPointEstimation2506.2MethodsofPointEstimation265SupplementaryExercises274Bibliography2757　StatisticalIntervalsBasedonaSingleSample277Introduction2777.1BasicPropertiesofConfidenceIntervals2787.2Large-SampleConfidenceIntervalsforaPopulationMeanandProportion2877.3IntervalsBasedonaNormalPopulationDistribution2957.4ConfidenceIntervalsfortheVarianceandStandardDeviationofaNormalPopulation304SupplementaryExercises307Bibliography3098　TestsofHypothesesBasedonaSingleSample310Introduction3108.1HypothesesandTestProcedures3118.2TestsAboutaPopulationMean3218.3TestsConcerningaPopulationProportion3348.4P-Values3398.5SomeCommentsonSelectingaTestProcedure347SupplementaryExercises350Bibliography3539　InferencesBasedonTwoSamples354Introduction3549.1zTestsandConfidenceIntervalsforaDifferenceBetweenTwoPopulationMeans3559.2TheTwo-SampletTestandConfidenceInterval3669.3AnalysisofPairedData3749.4InferencesConcerningaDifferenceBetweenPopulationProportions3849.5InferencesConcerningTwoPopulationVariances392SupplementaryExercises396Bibliography40110　TheAnalysisofVariance402Introduction40210.1Single-FactorANOVA40310.2MultipleComparisonsinANOVA41410.3MoreonSingle-FactorANOVA420SupplementaryExercises430Bibliography43211　MultifactorAnalysisofVariance433Introduction43311.1Two-FactorANOVAwithKij=143411.2Two-FactorANOVAwithKij>144811.3Three-FactorANOVA45711.42pFactorialExperiments468SupplementaryExercises483Bibliography48612　SimpleLinearRegressionandCorrelation488Introduction48812.1TheSimpleLinearRegressionModel48912.2EstimatingModelParameters49712.3InferencesAbouttheSlopeParameterB151212.4InferencesConcerninguY.xandthePredictionofFutureYValues52012.5Correlation528SupplementaryExercises538Bibliography54213　NonlinearandMultipleRegression543Introduction54313.1AptnessoftheModelandModelChecking54413.2RegressionwithTransformedVariables55213.3PolynomialRegression56213.4MultipleRegressionAnalysis57313.5OtherIssuesinMultipleRegression597SupplementaryExercises610Bibliography61514　TheAnalysisofCategoricalData616Introduction61614.1Goodness-of-FitTestsWhenCategoryProbabilitiesAreCompletelySpecified61714.2GoodnessofFitforCompositeHypotheses62514.3Two-WayContingencyTables638SupplementaryExercises646Bibliography64815　Distribution-FreeProcedures649Introduction64915.1TheWilcoxonSigned-RankTest65015.2TheWilcoxonRank-SumTest65915.3Distribution-FreeConfidenceIntervals66615.4Distribution-FreeANOVA671SupplementaryExercises675Bibliography67716　QualityControlMethods678Introduction67816.1GeneralCommentsonControlCharts67916.2ControlChartsforProcessLocation68116.3ControlChartsforProcessVariation69016.4ControlChartsforAttributes69516.5CUSUMProcedures70016.6AcceptanceSampling709SupplementaryExercises715Bibliography716AppendixTables717A.1CumulativeBinomialProbabilities718A.2CumulativePoissonProbabilities720A.3StandardNormalCurveAreas722A.4TheIncompleteGammaFunction724A.5CriticalValuesfortDistributions725A.6ToleranceCriticalValuesforNormalPopulationDistributions726A.7CriticalValuesforChi-SquaredDistributions727A.8tCurveTailAreas728A.9CriticalValuesforFDistributions730A.10CriticalValuesforStudentizedRangeDistributions736A.11Chi-SquaredCurveTailAreas737A.12CriticalValuesfortheRyan-JoinerTestofNormality739A.13CriticalValuesfortheWilcoxonSigned-RankTest740A.14CriticalValuesfortheWilcoxonRank-SumTest741A.15CriticalValuesfortheWilcoxonSigned-RankInterval742A.16CriticalValuesfortheWilcoxonRank-SumInterval743A.17CurvesfortTests744AnswerstoOdd-NumberedExercises745Index765

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