含不可控變量與非參數(shù)兩種情形下多因變量模型的試驗(yàn)設(shè)計(jì).pdf

1、上海師范大學(xué)碩士學(xué)位論文含不可控變量與非參數(shù)兩種情形下多因變量模型的試驗(yàn)設(shè)計(jì)姓名：周翠娥申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：概率論與數(shù)理統(tǒng)計(jì)指導(dǎo)教師：岳榮先20050501AbstractInthisthesiswemainlystudyexperimentaldesignsformultiresponsemodelswithuncontrolledvariablesandtheasymptoticBayesiandesignfornonparam

2、etricmultiresponseprediction.Thepaperisdividedintotwoparts.InthefirstpartwetakethewayusedinFedorovandAtkinson(1988)whenuncontrolledvariablesareincludedinthemultiresponsemodels.Wedistinguishamongthreecaseswhichareuncontro

3、lledbutknownvariationuncontrolledandunknownrandomvariationanduncontrolledbutconstantunknownvariationrespectively.Thepropertiesofoptimumexperimentaldesignsaredescribedintheindependentorrelativemultiresponsemodel.Moreovers

4、omeequivalencetheoremsaredescribedunderDoptimalandAoptimalcriterion.InthesecondpartweadopttheasymptoticsusedinMitchelletal(1994)innonparametricmultiresponsemodel.AsymptoticBayesiandesignisobtainedfornonparametricmultires

5、pondeprediction.AnditisshownthattheuniformcontinuousdesignontheunitcubeisoptimumundertheasymptoticBayescriterionforacertainpriorspecification.InChapter1weintroducetherelativedevelopmentinbrief.InChapter2weinvestigateexpe

6、rimentaldesignsformultiresponsemodelswithuncontrolledvariablesandpriorinformationincludingthreesections.InSection1westudyoptimaldesignsfortheindependentmultiresponsewithcommoncontrolledandcommonuncontrolledvariablesInSec

7、tion2optimaldesignsfortherelativemultiresponsearediscussedwithcommoncontrolledandcommonuncontrolledvariablesInSection3thereincludesomedifferentcontrolledvariablesintheindependentmultiresponsemodelsbasedonsection1.InChapt