20756.φ混合序列的若干收斂性

1、獨創(chuàng)性聲明本人聲明所呈交的學(xué)位論文是本人在導(dǎo)師指導(dǎo)f=‘進(jìn)行的研究工作及取得的研究成果。據(jù)我所知，除了文中特別加以標(biāo)注和致謝的地方外，論文中不包含其他人已經(jīng)發(fā)表或撰寫過的研究成果，也不包含為獲得島吲雙大學(xué)或其他教育機(jī)構(gòu)的學(xué)位或證書而使用過的材料。與我一同工作的同志對本研究所做的任何貢獻(xiàn)均己在論文中作了明確的說明并表示謝意。學(xué)位論文作者簽名：孫5I『’簪糍簽字日期：加I籮年6月S日學(xué)位論文版權(quán)使用授權(quán)書本學(xué)位論文作者完全了解有關(guān)保留、使用

2、學(xué)位論文的規(guī)定，有權(quán)保留并向國家有關(guān)部門或機(jī)構(gòu)送交論文的復(fù)印件和磁盤，允許論文被查閱和借閱。本人授權(quán)可以將學(xué)位論文的全部或部分內(nèi)容編入有關(guān)數(shù)據(jù)庫進(jìn)行檢索，可以采用影印、縮印或掃描等復(fù)制手段保存、匯編學(xué)位論文。(保密的學(xué)位論文在解密后適用本授權(quán)書)學(xué)位論文作者簽名：靳傍船新簽名：蟒簽字日期：2of籮年侈月亨日簽字日期：wIy年占’月歹日學(xué)位論文作者畢業(yè)去向：工作單位：通訊地址：電話：郵編：AbstractProbabilitylimitt

3、heoryisaveryessentiallytheoreticalbasisofprobabilityandmathematicalstatisticsCurrentlytheclassicalprobabilitylimittheoryofindependentsequencehasbeenwelldevelopedHowever，althoughinsomecasestheindependenceassumptionisreaso

4、nable，thesampleisnotpossibletosatisfytheindependenceinpracticalproblemsThe妒一mixingsequenceisthesequencewhosesampledatasarefitforarelationship，andcomparedwithindependentsequence，the妒mixingsequencehasmorepracticalsignifica

5、nceThisdissertationisbasedODthebasicpropertiesandsomeinequalitiesof妒mixingsequenceandthelimittheoryresearchtechnique，mainlyfromthefollowingseveralaspectstesearchwork：Firstlywestudythecompletemomentconvergenceof妒一mixingra

6、ndomvariablesByusingsomemethodssuchasprobabilityinequalitiesandmomentinequalityweobtainthecompleteconvergenceof妒一mixingrandomvariablesundermoreweakconditionsThenwegeneralizethecorrespondingresultsofindependencesequenceAt

7、thesametime，werevealthatcompletemomentconvergenceimplycompleteconvergenceSecondlywemainlyusethemomentinequalitiesandthetruncationmethodtostudyandobtaintheLrconvergenceof妒一mixingrandomvari—ablesTheobtainedresultsextendand

8、improvetheTheorem6inGaneta1[11FinallyweconsiderthefixeddesignnonparametricregressionmodelK=g(x餓)￡戒，1≤i≤n，andgivethedefinitionofweightedregressionestimatorgn(x)Thenundersomeweightfunctionconstraints，throughtheestablish—me