Introduction
Thisbookmainlyintroducestheapplicationofstatisticalmethodsinengineering,includingstatisticaldistributionscommonlyusedinengineering,single-sampledecision-making,two-sampledecision-making,analysisofvariance,regressionanalysis,Statisticalprocesscontrol,experimentaldesign,robustdesign,measurementsystemanalysisandreliability,etc.Thebookfocusesontheapplicationofstatisticsinengineeringpractice,providesastrongengineeringapplicationcase,andusesMinitabsoftwarefordataprocessing.Inordertofacilitateteachingandself-studybystudents,practicequestionsareprovidedaftereachchapter.
Thisbookcanbeusedasatextbookforundergraduatesmajoringinmanagementandindustrialengineeringincollegesanduniversities,aswellasareferenceforgraduatestudentsandrelevantreadersengagedinstatisticalanalysisandresearch.
BookCatalog
Foreword
Chapter1CommonlyUsedStatisticalDistribution
1.1BasicFeaturesofStatisticalData
1.1.1Dataconcentrationdegree
1.1.2Datadispersiondegree
1.2Randomvariabledistribution
1.2.1Discreterandomvariabledistribution
1.2.2Distributionofcontinuousrandomvariables
1.2.3Characteristicsofrandomvariables
1.3Normaldistributionandlognormaldistribution
1.3.1Normaldistribution
1.3.2Lognormaldistribution
1.4Betadistribution
1.5Uniformdistribution
1.6ApplicationDistributionofsamplinginspection
1.6.1Binomialdistribution
1.6.2Poissondistribution
1.6.3Hypergeometricdistribution
1.7Commonlyusedlifedistribution
1.7.1Exponentialdistribution
1.7.2Gammadistribution
1.7.3Weibulldistribution
1.8Chi-squaredistribution
1.9tdistribution
1.10Fdistribution
Exercises
Chapter2Single-SampleDecisionMaking
2.1Statisticalinference
2.2Pointestimation
2.2.1Momentestimationmethod
2.2.2Maximumlikelihoodestimationmethod
2.3Goodnesscriteriaforpointestimation
2.3.1Unbiasedness
2.3.2Validity
2.3.3Consistency
2.3.4MeanSquareError
2.4HypothesisTesting
2.4.1StatisticalHypothesis
2.4.2BasicPrinciplesandBasicStepsofHypothesisTesting
2.5Inferenceofnormalpopulationmeanwithknownvariance
2.5.1Hypothesistestofpopulationmean
2.5.2P.valueoftest
>2.5.3Confidenceintervalofpopulationmean
2.6Inferenceofnormalpopulationmeanwithunknownvariance
2.6.1Hypothesistestofpopulationmean
2.6.2Confidenceintervalofpopulationmean
2.7Inferenceofnormalpopulationvariance
2.7.1Hypothesistestofpopulationvariance
2.7.2PopulationvarianceConfidenceintervalfor
2.8Inferenceofnon-normalpopulationparameters
2.8.1Inferenceoflargesamplemeanwithknownvariance
2.8.2UnknownvarianceInferenceofthemeanofalargesample
2.9samplesThedeterminationofthiscapacity
2.10Inferenceofthepopulationdistribution
Practicequestions
Chapter3Two-sampledecision-making
3.1KnownvarianceInferenceofthemeanoftwonormalpopulations
3.1.1Hypothesistestofmeandifference
3.1.2Confidenceintervalofmeandifference
3.2TwopositiveswithunknownvarianceInferenceofthemeanvalueofthenormalpopulation
3.2.1Hypothesistestofthemeandifference
3.2.2Confidenceintervalofthemeandifference
3.3TheratioofthevarianceofthetwonormalpopulationsInference
3.3.1Hypothesistestofvarianceratiooftwonormalpopulations
3.3.2Confidenceintervalofvarianceratiooftwonormalpopulations
Practicequestions
p>Chapter4AnalysisofVariance
Chapter5RegressionAnalysis
Chapter6StatisticalProcessControl
Chapter7ExperimentDesign
Chapter8RobustDesign
Chapter9MeasurementSystemAnalysis
Chapter10Reliability
Appendix