《概率論與數(shù)理統(tǒng)計》(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)計軟件Minitab作統(tǒng)計分析,使用方便,適合于工科、經(jīng)濟、管理類專業(yè)學(xué)生作為概率統(tǒng)計雙語教材使用,也可供教師教學(xué)參考!陡怕收撆c數(shù)理統(tǒng)計》主要內(nèi)容有:0.統(tǒng)計學(xué)簡介;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;9.大樣本假設(shè)檢驗;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。書后給出了部分習(xí)題答案。
《概率論與數(shù)理統(tǒng)計》(第5版影印版)從ThomsonLearning出版公司引進!陡怕收撆c數(shù)理統(tǒng)計》主要介紹了概率統(tǒng)計的基本思想、概念和方法,從各個應(yīng)用層面和案例入手,使用盡量少的概率知識介紹了應(yīng)用統(tǒng)計的基本內(nèi)容和擴展內(nèi)容。閱讀《概率論與數(shù)理統(tǒng)計》,不需要微積分學(xué)知識,只需具備高中數(shù)學(xué)水平即可。
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
8.5SomeCommentsonSelectingaTestProcedure347
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.4TheInpleteGammaFunction724
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