橢球等高分布族相關(guān)分布及其性質(zhì)的若干研究.pdf

1、東南大學(xué)碩士學(xué)位論文橢球等高分布族相關(guān)分布及其性質(zhì)的若干研究姓名：程慧燕申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：概率統(tǒng)計(jì)指導(dǎo)教師：朱道元20081208AbstractThispaperconsistsoftherepartsconcerningsomepropertiesofellipticallycontouredmatrixdistributionfamilyofgeneralizedmultianalysisThefirstpartiselem

2、entaryknowledge(EllipticallyContouredMatrixDistributionFamilyGeneralizedNonCentralF—Distribution))hassubmittedtothe2008academicseminaroftheAnniversaryofSoutheastUniversity(EllipticallyContouredQuasidiagonalmatrixBetaandF

3、distributions)hasbeenpublishedbyjournalofAnhuiUniversityIn(GeneralizedMulti—analysis))，theintegralformofdensityfunctionsofgeneralizednoncentralx2tandFdistributionhadbeengivenForthethirdchapter，withtheaidinthedensityfunct

4、ionofgeneralizednoncentralX2statistics，theaccurateexpressionsforthedensityfunctionsandmomentsofE&(地厶，≯)generalizednoncentraltandFstatisticsaleobtainedSomeexamplesareproposedAndtheseresultsarepromotedtoEVap(M，I，≯)Inthelas

5、tchapter，somepropertiesofellipticallycontouredmatrixstatisticsandtheirinversematrixstatisticsareresearchedPromotingtheseresultstoquasi—diagonalmatrixdistribution，somewellconclusionsareobtainedKeywords：ellipticallycontour