《概率论与数理统计》从ThomsonLearning出版公司引进。《概率论与数理统计》主要介绍了概率统计的基本思想、概念和方法,从各个应用层面和案例入手,使用尽量少的概率知识介绍了应用统计的基本内容和扩展内容。阅读《概率论与数理统计》,不需要微积分学知识,只需具备高中数学水平即可。《概率论与数理统计》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。

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.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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