多变量均值向量控制图的若干分析与改进

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1、上海交通大学硕士论文ABSTRACTANALYSISONMULTIVARIATESCONTROLCHARTSFORMEANVECTORSABSTRACTItisfrequentlyrequiredtocontroltwoormorequalitycharacteristicssimultaneouslyduringstatisticalprocessqualitycontrol.Sothemultivariatequalitycontrolexistswidely.Whenthestatisticalproc

2、essqualitycontrolisperformedformulti-characteristicsinthecourseofproductmanufacturing,jointcontrolofmulti-characteristicscannotbereplacedbyseparatecontrolofeachcharacteristic,becausetheircontrolfieldsaredifferent.Therefore,itisessentialtostudythemultivariat

3、econtrolcharts.Formultivariatestatisticalprocesstheusuallyrecommendedprocedureismultivariatecontrolchart,especially2TcontrolchartandEWMAchart.Intheretrospectivephasethecommoncovariancematrixisalwaysunknownandseveralapproximatedistributionsofstatisticbasedon

4、differentestimatorsarecompared.Calculationmethodsforuppercontrollimitofdifferent2Tchartswithdifferentsamplesizemandqualitydimensionspareproposed.AnimprovedMEWMAchartbasedonsuccessivedifferencesestimatorSisestablished.Withdifferentsmoothingfactorrandnon-cent

5、rality2parameterλ,thesignalprobabilitiesandARL(Averagerunlength)oftwoMEWMAchartsarecomparedwhentwotypesofshiftsinmeanvectoroccur.Acasestudybasedonsimulationispresentedtoshowthedifferentpropertiesofseveral2TandMEWMAchartswhencommoncovariancematrixisestimated

6、.KEYWORDS:multivariateprocesscontrol；estimatorsforcommoncovariancematrix；uppercontrollimit；shiftsinthemeanvalueII上海交通大学硕士论文目录目录摘要··································································································IABSTRACT·····················

7、·····································································II第一章绪论······················································································11.1论文的研究意义·············································································11.2国内外

8、的研究现状··········································································21.2.1单变量统计过程控制方法·························································21.2.2多变量统计过程控制方法·······························