一類(lèi)分片拉丁超立方體設(shè)計(jì)的構(gòu)造.pdf

1、南開(kāi)大學(xué)碩士學(xué)位論文一類(lèi)分片拉丁超立方體設(shè)計(jì)的構(gòu)造姓名：周慶穎申請(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：劉民千201205AbstractAbstractInrecentyears，theresearchontheLatinhypercubedesignshasbecomeoneoft11eh叭researchfieldsofexperimentaldesignsAndmanyoptimalcriteriaandnewconst

2、ructionmethodsofLatinhypercubedesignshavebeenproposedThis鋤ticleistOCOrlStructaclassofs4s2(sisapositiveintegerandgreaterthanore—qualtO2)slicedLatinhypercubedesignsbasedontheSudokumatrixFirstly，classify乙4=1，2，s4)intoS2subs

3、etsinaccordancewiththeSudokumatrixSecond1y’fillanewmatrixwiththesubsetsinaccordancewithaspecificalgorithmThenusethecolumnsofthismatrixtogeneratethefirstcolumnofaslicedLatinhypercubedesign，andgenerateothercolumnswithtrans

4、formingtherowsandcolumnsofthematrixFinallyformaslicedLatinhypercubedesignInaddition，wealsodiscusstheproporities，includingexpectationandvariance，oftheslicedLatinhypercubesampiing，andfindthatwiththesamesamplesizeandunderth

5、esamecertainconditionsthevarianceoftheLatinhypercubesampling’SoverallestimatedexpectionislessthanthatoftheordinaryLatinhypercubesamplingandthesimplerandomsamplingAtlast，anillustrationexamplefortIleconstructionmethodisgiv