大連理工大學(xué)建筑與藝術(shù)學(xué)院導(dǎo)師:李翥彬
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大連理工大學(xué)建筑與藝術(shù)學(xué)院導(dǎo)師:李翥彬 正文
[導(dǎo)師姓名]李翥彬
[所屬院校]
大連理工大學(xué)
[基本信息]
導(dǎo)師姓名:李翥彬
性別:男
人氣指數(shù):3020
所屬院校:大連理工大學(xué)
所屬院系:建筑與藝術(shù)學(xué)院
職稱:講師(高校)碩士生導(dǎo)師
導(dǎo)師類型:碩導(dǎo)
招生專業(yè):建筑學(xué)、城鄉(xiāng)規(guī)劃學(xué)
研究領(lǐng)域:既有居住建筑再生當(dāng)代東北地區(qū)居住生活模式開放建筑與住宅產(chǎn)業(yè)化
[通訊方式]
電子郵件:lizhubin128@dlut.edu.cn
[個(gè)人簡述]
大連理工大學(xué),數(shù)學(xué)科學(xué)學(xué)院,副教授博士生導(dǎo)師
受教育經(jīng)歷:
2004/09–2010/01,大連理工大學(xué),數(shù)學(xué)科學(xué)學(xué)院,博士
2007/11–2008/11,特拉華大學(xué)(美國),應(yīng)用數(shù)學(xué)系,聯(lián)合培養(yǎng)博士
2000/09–2004/06,大連理工大學(xué),數(shù)學(xué)科學(xué)學(xué)院,學(xué)士
研究工作經(jīng)歷:
2016/07–至今,大連理工大學(xué),數(shù)學(xué)科學(xué)學(xué)院,副教授博士生導(dǎo)師
2016/06–2016/12,香港中文大學(xué),統(tǒng)計(jì)系,ResearchAssociate
2013/12–2016/06,大連理工大學(xué),數(shù)學(xué)科學(xué)學(xué)院,副教授碩士生導(dǎo)師
2012/05–2012/07,南洋理工大學(xué)(新加坡),數(shù)理學(xué)院,訪問學(xué)者
2011/12–2013/12,大連理工大學(xué),數(shù)學(xué)科學(xué)學(xué)院,講師碩士生導(dǎo)師
2010/02–2011/12,大連理工大學(xué),計(jì)算機(jī)科學(xué)與技術(shù)流動(dòng)站,博士后
教學(xué)工作經(jīng)歷:
近五年分別多次承擔(dān)“測度與概率”、“隨機(jī)過程引論”、“概率論與數(shù)理統(tǒng)計(jì)”等本科生授課任務(wù);“高等概率論”、“隨機(jī)過程”、“現(xiàn)代精算風(fēng)險(xiǎn)理論”等研究生授課任務(wù)。
社會(huì)兼職
2015-國家自然科學(xué)基金同行評(píng)議專家
2009-PresentMember,InstituteofMathematicalStatistics(IMS)
2015-Present,美國數(shù)學(xué)評(píng)論(MathematicalReviews)特邀評(píng)論員
(如下國際雜志審稿人):
1,JournalofComputationalandAppliedMathematics;
2,AbstractandAppliedAnalysis;
3,AppliedMathematicsandComputation;
4,JournalofInequalitiesandApplications;
5,JournalofNumberTheory;
6,Stochastics:AnInternationalJournalOfProbabilityAndStochasticProcesses;
7,IntegralTransformsAndSpecialFunctions;
(如下國內(nèi)雜志審稿人):
1,數(shù)學(xué)進(jìn)展AdvancesInMathematics(CHINA),北京大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
2,應(yīng)用概率統(tǒng)計(jì)ChineseJournalofAppliedProbabilityandStatistics,華東師范大學(xué)金融與統(tǒng)計(jì)學(xué)院;
3,應(yīng)用數(shù)學(xué)MathematicaApplicata,華中科技大學(xué);
研究領(lǐng)域(研究課題)
1.概率極限理論;布朗運(yùn)動(dòng)首出時(shí)的漸近理論.
2.隨機(jī)變量和的精細(xì)大偏差;保險(xiǎn)精算中的破產(chǎn)概率理論.
3.伽馬函數(shù),歐拉常數(shù)等數(shù)學(xué)常數(shù)的漸近估計(jì).
4.Mills’率;Gamma率;Beta率的研究.
承擔(dān)、參與國家自然科學(xué)基金項(xiàng)目:
1,負(fù)責(zé)人:魯大偉
項(xiàng)目名稱:布朗運(yùn)動(dòng)在多種隨機(jī)區(qū)域上首出時(shí)的若干研究(青年項(xiàng)目)
起止年月:2012/01—2014/12
2,第一參與人:魯大偉
項(xiàng)目名稱:基于copula的隨機(jī)向量間的相依性(面上項(xiàng)目)
起止年月:2014/01—2017/12
3,負(fù)責(zé)人:魯大偉
項(xiàng)目名稱:可變、隨機(jī)維數(shù)下布朗運(yùn)動(dòng)出逃概率的漸近估計(jì)(面上項(xiàng)目)
起止年月:2016/01—2019/12
指導(dǎo)碩博研究方向
1.概率極限理論,布朗運(yùn)動(dòng)首出時(shí)的漸近理論.
2.隨機(jī)變量和的精細(xì)大偏差.
3.伽馬函數(shù),歐拉常數(shù)等數(shù)學(xué)常數(shù)的漸近估計(jì).
4.Mills’率;Gamma率;Beta率的研究.
已畢業(yè)概率,保險(xiǎn)精算碩士研究生畢業(yè)后方向:海外讀博(如美國馬里蘭州立大學(xué)、英國南安普頓大學(xué)),銀行(如建行、中行、招商、民生),證券(如興業(yè)、齊魯證券),保險(xiǎn)公司(如人壽、太平洋、陽光、中意)等。歡迎有志于概率論,保險(xiǎn)精算,金融研究的優(yōu)秀本科生報(bào)考研究生,加入我的團(tuán)隊(duì)!
工作成果(獎(jiǎng)勵(lì)、專利等)
論文獲獎(jiǎng):
[1]魯大偉,多維高斯概率的漸近估計(jì),遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。二等獎(jiǎng)2010。
[2]魯大偉,宋立新,布朗運(yùn)動(dòng)在極大極小隨機(jī)橢球上首出時(shí)的研究,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。三等獎(jiǎng),2012。
[3]魯大偉,Beta分布的估計(jì),遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。三等獎(jiǎng)。2013。
[4]魯大偉,Gamma分布函數(shù)的研究,大連市自然科學(xué)優(yōu)秀學(xué)術(shù)論文。三等獎(jiǎng),2013。
[5]魯大偉,王曉光,伽瑪函數(shù)的漸近表示,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。三等獎(jiǎng)。2014。
[6]魯大偉,歐拉常數(shù)的更快收斂序列,大連市自然科學(xué)優(yōu)秀學(xué)術(shù)論文。三等獎(jiǎng),2015。
[7]魯大偉,SomenewconvergentsequencesandinequalitiesofEuler'sconstant,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng)。二等獎(jiǎng),2016。
[8]魯大偉,基于Nemes,Ramanujan,Burnside公式的一種新的快速漸近伽馬函數(shù)的方法,大連市自然科學(xué)優(yōu)秀學(xué)術(shù)論文。三等獎(jiǎng),2017。
[9]魯大偉,CertainapproximationstoachievesharplowerandupperboundsfortheMills’ratiooftheinverseGaussiandistribution,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng)。三等獎(jiǎng),2017。
指導(dǎo)本科生獲獎(jiǎng)情況:
[1]馬從旭,Gamma函數(shù)漸近估計(jì)的若干研究,2014年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[2]余洋,Euler常數(shù)的多個(gè)連分?jǐn)?shù)逼近公式,2015年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[3]劉松昊,Glaisher-Kinkelin常數(shù)和Bendersky-Adamchik常數(shù)漸近估計(jì)的若干研究,2015年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[4]徐慧媛,Gamma函數(shù)最新相關(guān)逼近公式的研究,2016年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[5]張佩璇,Minc-Sathre商式的相關(guān)逼近與不等式,2017年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
指導(dǎo)碩士生獲獎(jiǎng)情況:
[1]馬從旭,2016年度大連理工大學(xué)優(yōu)秀碩士學(xué)位論文。
[2]齊曉夢(mèng),2016年度大連理工大學(xué)優(yōu)秀碩士學(xué)位論文。
出版著作和論文
Publication(SCI檢索)*為通訊作者截止目前發(fā)表論文被他引201次(除去自引,他引140次),高引論文9篇。
[60],D.LuandL.Song*andF.Li.Uniformasymptoticsfordiscountedaggregateclaimsindependentmulti-riskmodels.CommunicationsinStatistics-TheoryandMethods.Accept(2017)
[59],D.LuandL.Song*andX.WangandJ.Wang.Newasymptoticformulasandinequalitiesforthegammafunctionbasedoncontinuedfractions.ResultsinMathematics.Accept(2017)
[58],H.Wang*andQ.ZhangandD.Lu.AquickerapproximationofthegammafunctiontowardstheWindschitl’sformulabycontinuedfraction.TheRamanujanJournal.Accept(2017)
[57],X.Wang*andD.LuandL.Song.RobustimagesegmentationviaBayesiantypecriterion.CommunicationsinStatistics-TheoryandMethods.Accept(2017)
[56],D.Lu*andT.QuandX.Wang.AkindofnewcontinuedfractionapproximationofGammafunctionbasedonMortici’sformula.ResultsinMathematics.Accept(2017)
[55],D.Lu*andX.WangandJ.Wei.Continuedfractionsandinequalitiesabout$\left(1+\frac{1}{x}\right)^x$.ResultsinMathematics.72(4),2241-2252(2017)
[54],D.Lu*andT.QuandX.Wang.AkindofnewcontinuedfractionapproximationofGammafunctionbasedonMortici’sformula.ResultsinMathematics.72(3),1417-1436(2017)
[53],D.LuandL.Song*andQ.Xu.Newcontinuedfractionexpansionsandinequalitiesfor$n!$intonegativepowersofatriangularnumber.ResultsinMathematics.72(1-2),765-786(2017)(SCI)
[52],D.LuandL.Song*andJ.Wang.Someasymptoticformulasandinequalities
aboutgammaandpsifunctionsbasedoncontinuedfractions.ResultsinMathematics.72(1-2),225-238(2017)(SCI)
[51],S.LiuandD.Lu*.ImprovedconvergencetowardsGlaisher-Kinkelin'sandBendersky-Adamchik'sconstants.ResultsinMathematics.71(3),731-747(2017)(SCI)
[50],D.LuandL.Song*andZ.Liu.Somenewapproximationsandinequalitiesofthesequence(1+1/n)^nandimprovementsoftheCarlemans’inequality.TheRamanujanJournal.43(1),69-82(2017)(SCI)
[49],D.Lu*andX.Qi.Preciselargedeviationsfor$\phi$-mixingandUNDrandomvariableswithlong-taileddistributions.CommunicationsinStatistics-TheoryandMethods.46(11),5443-5452(2017)(SCI)
[48],D.Lu*andS.Liu.SomenewconvergentsequencesofGlaisher-Kinkelin'sandBendersky-Adamchik'sconstants.ResultsinMathematics.71(1),225-240(2017)(SCI)
[47],D.Lu*andX.LiuandT.Qu.ContinuedfractionapproximationsandinequalitiesforthegammafunctionbyBurnside.TheRamanujanJournal.42,491-500(2017)(SCI)
[46],D.LuandL.Song*andY.Yu.SomequickercontinuedfractionapproximationsandinequalitiestowardsEuler'sconstant.JournalofNumberTheory.175,100-116(2017)(SCI)
[45],L.SongandZ.HuangandD.Lu*andX.Qi.PreciselargedeviationsforthedifferenceoftwosumsofWUODandnon-identicallydistributedrandomvariableswithdominatedlyvaryingtails.CommunicationsinStatistics-TheoryandMethods.46(4),2013-2028(2017)(SCI)
[44],Z.HuaandL.SongandD.Lu*andX.Qi.PreciselargedeviationsforthedifferenceoftwosumsofENDrandomvariableswithheavytails.CommunicationsinStatistics-TheoryandMethods.46(2),736-746(2017)(SCI)
[43],D.Lu*andP.Zhang.Anewgeneralasymptoticformulaandinequalitiesinvolvingthevolumeoftheunitball.JournalofNumberTheory.170,302-314.(2017)(SCI)
[42],X.LiuandD.LuandL.Song*.SomequickerapproximationsandinequalitiesoftheWallisratiobycontinuedfraction.ResultsinMathematics.70(3),325-335(2016)(SCI)
[41],D.Lu*.SomeasymptoticformulasofaBrownianmotionwithregularvariationfromthemaximumandminimumcomplicateddomains.CommunicationsinStatistics-TheoryandMethods.45(22),6569-6595(2016)(SCI)
[40],D.Lu*.CertainapproximationstoachievesharplowerandupperboundsfortheMills'ratiooftheinverseGaussiandistribution.JournalofMathematicalAnalysisandApplications.444,737-744(2016)(SCI)
[39],D.LuandL.Song*andC.Ma.AquickercontinuedfractionapproximationofthegammafunctionrelatedtotheWindschitl'sformula.NumericalAlgorithms.72:865–874(2016)(SCI)
[38],D.Lu*andB.Zhang.Someasymptoticresultsoftheruinprobabilitiesinatwodimensionalrenewalriskmodelwithsomestronglysubexponentialclaims.Statistics&ProbabilityLetters.114,20-29(2016)(SCI)
[37],D.Lu*andL.SongandT.Zhang.LargedeviationsforsumofUENDand$\phi$-mixingrandomvariableswithheavytails.CommunicationsinStatistics-TheoryandMethods.45(7),2118-2129(2016)(SCI)
[36],D.Lu*.AnoteontheestimatesofmultivariateGaussianprobability.CommunicationsinStatistics-TheoryandMethods.45(5),1459-1465(2016)(SCI)
[35],D.LuandC.MorticiandL.Song*.SomenewapproximationsofGlaisher-Kinkelin’sandBendersky-Adamchik’sconstantsbycontinuedfraction.JournalofNumberTheory.163,434-448.(2016)(SCI)
[34],D.Lu*andL.SongandX.Wang.Preciselargedeviationforthedifferenceoftwosumsofrandomvariables.CommunicationsinStatistics-TheoryandMethods.45(2),291-306.(2016)(SCI)
[33],D.Lu*andC.Ma.SomenewquickercontinuedfractionapproximationsforthegammafunctionrelatedtotheNemes’formula.NumericalAlgorithms.70(4),825-833.(2015)(SCI)
[32],D.Lu*.SomeasymptoticformulasforaBrownianmotionfromthemaximumandminimumcomplicateddomains.CommunicationsinStatistics-TheoryandMethods.44(15),3192-3217.(2015)(SCI)
[31],D.LuandL.Song*.SomeasymptoticformulasforaBrownianmotionwitharegularvariationfromaparabolicdomain.CommunicationsinStatistics-TheoryandMethods.44(9),1763-1778.(2015)(SCI)
[30],D.Lu*andZ.Song.SomenewcontinuedfractionestimatesoftheSomos'quadraticrecurrenceconstant.JournalofNumberTheory.155,36-45.(2015)(SCI)
[29],D.Lu*andL.SongandY.Yu.NewsequenceswithcontinuedfractiontowardsEuler'sconstant.AppliedMathematicsandComputation.259,12-20.(2015)(SCI)
[28],D.LuandL.Song*andC.Ma.SomenewasymptoticapproximationsofthegammafunctionbasedonNemes'formula,Ramanujan'sformulaandBurnside'sformula.AppliedMathematicsandComputation.253,1-7.(2015)(SCI)
[27],D.Lu*andL.SongandY.Yu.SomenewcontinuedfractionapproximationofEuler'sconstant.JournalofNumberTheory.147,69-80.(2015)(SCI)
[26],D.Lu*.AnewsharpapproximationfortheGammafunctionrelatedtotheBurnside'sformula.TheRamanujanJournal.35(1),121-129.(2014)(SCI)
[25],D.Lu*.SomeAsymptoticFormulasforaBrownianMotionfromTheMaximumandMinimumDomainswithRegularVaryingBoundary.CommunicationsinStatistics-TheoryandMethods.43(18),3848-3865.(2014)(SCI)
[24],D.Lu*andJ.FengandC.Ma.AgeneralasymptoticformulaofthegammafunctionbasedontheBurnside'sformula.JournalofNumberTheory.145,317-328.(2014)(SCI)
[23],D.Lu*andC.Mortici.SomenewquickerapproximationsofGlaisher-Kinkelin'sandBendersky-Adamchik'sconstants.JournalofNumberTheory.144,340-352.(2014)(SCI)
[22],D.Lu*.SomenewimprovedclassesofconvergencetowardsEuler'sconstant.AppliedMathematicsandComputation.243,24-32.(2014)(SCI)
[21],D.Lu*.SomenewconvergentsequencesandinequalitiesofEuler'sconstant.JournalofMathematicalAnalysisandApplications.419(1),541-552.(2014)(SCI)
[20],C.Mortici*.V.G.Cristea.D.Lu.Completelymonotonicfunctionsandinequalitiesassociatedtosomeratioofgammafunction.AppliedMathematicsandComputation.240,168-174.(2014)(SCI)
[19],D.Lu*andX.Wang.AnewasymptoticexpansionandsomeinequalitiesfortheGammafunction.JournalofNumberTheory.140,314-323.(2014)(SCI)
[18],D.Lu*andL.SongandC.Ma.AgeneratedapproximationofthegammafunctionrelatedtoWindschitl'sformula.JournalofNumberTheory.140,215-225.(2014)(SCI)
[17],L.SongandD.Lu*andF.Liu.UsingconvexcombinationofcopulasandEMalgorithmforcredibility.CommunicationsinStatistics-TheoryandMethods.43(6),1222-1233.(2014)(SCI)
[16],D.Lu*andX.Wang,SomenewnormalcomparisoninequalitiesrelatedtoGordon'sinequality.Statistics&ProbabilityLetter.88,133-140.(2014).(SCI)
[15],D.Lu*.SomequickerclassesofsequencesconvergenttoEuler'sconstant.AppliedMathematicsandComputation.232,172-177.(2014)(SCI)
[14],D.Lu*.AgeneratedapproximationrelatedtotheBurnside'sformula.JournalofNumberTheory.136,414-422.(2014)(SCI)
[13],D.Lu*.AnewquickersequenceconvergenttoEuler'sconstant.JournalofNumberTheory.136,320-329.(2014)(SCI)
[12],D.Lu*andL.SongandY.Xu.Preciselargedeviationsforsumsofindependentrandomvariableswithconsistentlyvaryingtails.CommunicationsinStatistics-TheoryandMethods.43(1),28-43.(2014)(SCI)
[11],L.SongandW.CheandD.Lu*.TheexitprobabilitiesofBrownianmotionwithvariabledimensionapplyingtothecontrolofpopulationgrowth.InternationalJournalofBiomathematics.6(5)1–12.(2013)(SCI)
[10],D.Lu*andX.Wang.AGeneratedapproximationrelatedtotheGosper'sformulaandtheRamanujan'sformula.JournalofMathematicalAnalysisandApplications.406287-292.(2013)(SCI)
[09],X.Wang*andD.LuandL.Song.StatisticalInferenceforPartiallyLinearStochasticModelswithHeteroscedasticErrors.ComputationalStatisticsandDataAnalysis.66150-160.(2013).(SCI)
[08],D.Lu*.Lowerboundsoflargedeviationforsumsoflong-tailedclaimsinamulti-riskmodel.Statistics&ProbabilityLetter,82(7)1242-1250.(2012)(SCI)
[07],D.Lu*andJ.FengandX.Liang.Anoteontheestimateofthebetadistribution.MathematicalInequalities&Applications.15(4)859–870.(2012)(SCI)
[06],D.Lu*andL.SongandY.Wang.AnoteontheestimateofGammadistribution.MathematicalInequalities&Applications.15(1)217–227.(2012)(SCI)
[05],D.Lu*andL.Song,TheasymptoticbehaviorofaBrownianmotionwithadriftfromarandomdomain.CommunicationsinStatistics-TheoryandMethods.41(1),62-75.(2012)(SCI)
[04],D.Lu*,Lowerandupperboundsoflargedeviationforsumsofsubexponentialclaimsinmulti-riskmodel.Statistics&ProbabilityLetter.81(12)1911-1919.(2011).(SCI)
[03],D.Lu*andL.Song,TheFirstExitTimeofaBrownianMotionfromTheMinimumandMaximumParabolicDomains.JournalofTheoreticalProbability.24(4)1028-1043.(2011)(SCI)
[02],D.Lu*andW.V.Li,ANoteonMultivariateGaussianEstimates.JournalofMathematicalAnalysisandApplication.354704-707.(2009)(SCI)
[01],L.Song,D.Lu*andJ.Feng,ThefirstexittimeforaBesselprocessfromtheminimumandmaximumrandomdomains.Statistics&ProbabilityLetter.79(20)2115-2123.(2009)(SCI)
[科研工作]
近五年分別多次承擔(dān)“測度與概率”、“隨機(jī)過程引論”、“概率論與數(shù)理統(tǒng)計(jì)”等本科生授課任務(wù);“高等概率論”、“隨機(jī)過程”、“現(xiàn)代精算風(fēng)險(xiǎn)理論”等研究生授課任務(wù)。
社會(huì)兼職
2015-國家自然科學(xué)基金同行評(píng)議專家
2009-PresentMember,InstituteofMathematicalStatistics(IMS)
2015-Present,美國數(shù)學(xué)評(píng)論(MathematicalReviews)特邀評(píng)論員
(如下國際雜志審稿人):
1,JournalofComputationalandAppliedMathematics;
2,AbstractandAppliedAnalysis;
3,AppliedMathematicsandComputation;
4,JournalofInequalitiesandApplications;
5,JournalofNumberTheory;
6,Stochastics:AnInternationalJournalOfProbabilityAndStochasticProcesses;
7,IntegralTransformsAndSpecialFunctions;
(如下國內(nèi)雜志審稿人):
1,數(shù)學(xué)進(jìn)展AdvancesInMathematics(CHINA),北京大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
2,應(yīng)用概率統(tǒng)計(jì)ChineseJournalofAppliedProbabilityandStatistics,華東師范大學(xué)金融與統(tǒng)計(jì)學(xué)院;
3,應(yīng)用數(shù)學(xué)MathematicaApplicata,華中科技大學(xué);
研究領(lǐng)域(研究課題)
1.概率極限理論布朗運(yùn)動(dòng)首出時(shí)的漸近理論.
2.隨機(jī)變量和的精細(xì)大偏差保險(xiǎn)精算中的破產(chǎn)概率理論.
3.伽馬函數(shù),歐拉常數(shù)等數(shù)學(xué)常數(shù)的漸近估計(jì).
4.Mills’率Gamma率Beta率的研究.
承擔(dān)、參與國家自然科學(xué)基金項(xiàng)目:
1,負(fù)責(zé)人:魯大偉
項(xiàng)目名稱:布朗運(yùn)動(dòng)在多種隨機(jī)區(qū)域上首出時(shí)的若干研究(青年項(xiàng)目)
起止年月:2012/01—2014/12
2,第一參與人:魯大偉
項(xiàng)目名稱:基于copula的隨機(jī)向量間的相依性(面上項(xiàng)目)
起止年月:2014/01—2017/12
3,負(fù)責(zé)人:魯大偉
項(xiàng)目名稱:可變、隨機(jī)維數(shù)下布朗運(yùn)動(dòng)出逃概率的漸近估計(jì)(面上項(xiàng)目)
起止年月:2016/01—2019/12
指導(dǎo)碩博研究方向
1.概率極限理論,布朗運(yùn)動(dòng)首出時(shí)的漸近理論.
2.隨機(jī)變量和的精細(xì)大偏差.
3.伽馬函數(shù),歐拉常數(shù)等數(shù)學(xué)常數(shù)的漸近估計(jì).
4.Mills’率Gamma率Beta率的研究.
已畢業(yè)概率,保險(xiǎn)精算碩士研究生畢業(yè)后方向:海外讀博(如美國馬里蘭州立大學(xué)、英國南安普頓大學(xué)),銀行(如建行、中行、招商、民生),證券(如興業(yè)、齊魯證券),保險(xiǎn)公司(如人壽、太平洋、陽光、中意)等。歡迎有志于概率論,保險(xiǎn)精算,金融研究的優(yōu)秀本科生報(bào)考研究生,加入我的團(tuán)隊(duì)!
工作成果(獎(jiǎng)勵(lì)、專利等)
論文獲獎(jiǎng):
[1]魯大偉,多維高斯概率的漸近估計(jì),遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。二等獎(jiǎng)2010。
[2]魯大偉,宋立新,布朗運(yùn)動(dòng)在極大極小隨機(jī)橢球上首出時(shí)的研究,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。三等獎(jiǎng),2012。
[3]魯大偉,Beta分布的估計(jì),遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。三等獎(jiǎng)。2013。
[4]魯大偉,Gamma分布函數(shù)的研究,大連市自然科學(xué)優(yōu)秀學(xué)術(shù)論文。三等獎(jiǎng),2013。
[5]魯大偉,王曉光,伽瑪函數(shù)的漸近表示,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng),學(xué)術(shù)論文類。三等獎(jiǎng)。2014。
[6]魯大偉,歐拉常數(shù)的更快收斂序列,大連市自然科學(xué)優(yōu)秀學(xué)術(shù)論文。三等獎(jiǎng),2015。
[7]魯大偉,SomenewconvergentsequencesandinequalitiesofEuler'sconstant,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng)。二等獎(jiǎng),2016。
[8]魯大偉,基于Nemes,Ramanujan,Burnside公式的一種新的快速漸近伽馬函數(shù)的方法,大連市自然科學(xué)優(yōu)秀學(xué)術(shù)論文。三等獎(jiǎng),2017。
[9]魯大偉,CertainapproximationstoachievesharplowerandupperboundsfortheMills’ratiooftheinverseGaussiandistribution,遼寧省自然科學(xué)學(xué)術(shù)成果獎(jiǎng)。三等獎(jiǎng),2017。
指導(dǎo)本科生獲獎(jiǎng)情況:
[1]馬從旭,Gamma函數(shù)漸近估計(jì)的若干研究,2014年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[2]余洋,Euler常數(shù)的多個(gè)連分?jǐn)?shù)逼近公式,2015年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[3]劉松昊,Glaisher-Kinkelin常數(shù)和Bendersky-Adamchik常數(shù)漸近估計(jì)的若干研究,2015年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[4]徐慧媛,Gamma函數(shù)最新相關(guān)逼近公式的研究,2016年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
[5]張佩璇,Minc-Sathre商式的相關(guān)逼近與不等式,2017年度本科生畢業(yè)設(shè)計(jì)(論文)校優(yōu)秀論文。
指導(dǎo)碩士生獲獎(jiǎng)情況:
[1]馬從旭,2016年度大連理工大學(xué)優(yōu)秀碩士學(xué)位論文。
[2]齊曉夢(mèng),2016年度大連理工大學(xué)優(yōu)秀碩士學(xué)位論文。
出版著作和論文
Publication(SCI檢索)*為通訊作者截止目前發(fā)表論文被他引201次(除去自引,他引140次),高引論文9篇。
[60],D.LuandL.Song*andF.Li.Uniformasymptoticsfordiscountedaggregateclaimsindependentmulti-riskmodels.CommunicationsinStatistics-TheoryandMethods.Accept(2017)
[59],D.LuandL.Song*andX.WangandJ.Wang.Newasymptoticformulasandinequalitiesforthegammafunctionbasedoncontinuedfractions.ResultsinMathematics.Accept(2017)
[58],H.Wang*andQ.ZhangandD.Lu.AquickerapproximationofthegammafunctiontowardstheWindschitl’sformulabycontinuedfraction.TheRamanujanJournal.Accept(2017)
[57],X.Wang*andD.LuandL.Song.RobustimagesegmentationviaBayesiantypecriterion.CommunicationsinStatistics-TheoryandMethods.Accept(2017)
[56],D.Lu*andT.QuandX.Wang.AkindofnewcontinuedfractionapproximationofGammafunctionbasedonMortici’sformula.ResultsinMathematics.Accept(2017)
[55],D.Lu*andX.WangandJ.Wei.Continuedfractionsandinequalitiesabout$\left(1+\frac{1}{x}\right)^x$.ResultsinMathematics.72(4),2241-2252(2017)
[54],D.Lu*andT.QuandX.Wang.AkindofnewcontinuedfractionapproximationofGammafunctionbasedonMortici’sformula.ResultsinMathematics.72(3),1417-1436(2017)
[53],D.LuandL.Song*andQ.Xu.Newcontinuedfractionexpansionsandinequalitiesfor$n!$intonegativepowersofatriangularnumber.ResultsinMathematics.72(1-2),765-786(2017)(SCI)
[52],D.LuandL.Song*andJ.Wang.Someasymptoticformulasandinequalities
aboutgammaandpsifunctionsbasedoncontinuedfractions.ResultsinMathematics.72(1-2),225-238(2017)(SCI)
[51],S.LiuandD.Lu*.ImprovedconvergencetowardsGlaisher-Kinkelin'sandBendersky-Adamchik'sconstants.ResultsinMathematics.71(3),731-747(2017)(SCI)
[50],D.LuandL.Song*andZ.Liu.Somenewapproximationsandinequalitiesofthesequence(1+1/n)^nandimprovementsoftheCarlemans’inequality.TheRamanujanJournal.43(1),69-82(2017)(SCI)
[49],D.Lu*andX.Qi.Preciselargedeviationsfor$\phi$-mixingandUNDrandomvariableswithlong-taileddistributions.CommunicationsinStatistics-TheoryandMethods.46(11),5443-5452(2017)(SCI)
[48],D.Lu*andS.Liu.SomenewconvergentsequencesofGlaisher-Kinkelin'sandBendersky-Adamchik'sconstants.ResultsinMathematics.71(1),225-240(2017)(SCI)
[47],D.Lu*andX.LiuandT.Qu.ContinuedfractionapproximationsandinequalitiesforthegammafunctionbyBurnside.TheRamanujanJournal.42,491-500(2017)(SCI)
[46],D.LuandL.Song*andY.Yu.SomequickercontinuedfractionapproximationsandinequalitiestowardsEuler'sconstant.JournalofNumberTheory.175,100-116(2017)(SCI)
[45],L.SongandZ.HuangandD.Lu*andX.Qi.PreciselargedeviationsforthedifferenceoftwosumsofWUODandnon-identicallydistributedrandomvariableswithdominatedlyvaryingtails.CommunicationsinStatistics-TheoryandMethods.46(4),2013-2028(2017)(SCI)
[44],Z.HuaandL.SongandD.Lu*andX.Qi.PreciselargedeviationsforthedifferenceoftwosumsofENDrandomvariableswithheavytails.CommunicationsinStatistics-TheoryandMethods.46(2),736-746(2017)(SCI)
[43],D.Lu*andP.Zhang.Anewgeneralasymptoticformulaandinequalitiesinvolvingthevolumeoftheunitball.JournalofNumberTheory.170,302-314.(2017)(SCI)
[42],X.LiuandD.LuandL.Song*.SomequickerapproximationsandinequalitiesoftheWallisratiobycontinuedfraction.ResultsinMathematics.70(3),325-335(2016)(SCI)
[41],D.Lu*.SomeasymptoticformulasofaBrownianmotionwithregularvariationfromthemaximumandminimumcomplicateddomains.CommunicationsinStatistics-TheoryandMethods.45(22),6569-6595(2016)(SCI)
[40],D.Lu*.CertainapproximationstoachievesharplowerandupperboundsfortheMills'ratiooftheinverseGaussiandistribution.JournalofMathematicalAnalysisandApplications.444,737-744(2016)(SCI)
[39],D.LuandL.Song*andC.Ma.AquickercontinuedfractionapproximationofthegammafunctionrelatedtotheWindschitl'sformula.NumericalAlgorithms.72:865–874(2016)(SCI)
[38],D.Lu*andB.Zhang.Someasymptoticresultsoftheruinprobabilitiesinatwodimensionalrenewalriskmodelwithsomestronglysubexponentialclaims.Statistics&ProbabilityLetters.114,20-29(2016)(SCI)
[37],D.Lu*andL.SongandT.Zhang.LargedeviationsforsumofUENDand$\phi$-mixingrandomvariableswithheavytails.CommunicationsinStatistics-TheoryandMethods.45(7),2118-2129(2016)(SCI)
[36],D.Lu*.AnoteontheestimatesofmultivariateGaussianprobability.CommunicationsinStatistics-TheoryandMethods.45(5),1459-1465(2016)(SCI)
[35],D.LuandC.MorticiandL.Song*.SomenewapproximationsofGlaisher-Kinkelin’sandBendersky-Adamchik’sconstantsbycontinuedfraction.JournalofNumberTheory.163,434-448.(2016)(SCI)
[34],D.Lu*andL.SongandX.Wang.Preciselargedeviationforthedifferenceoftwosumsofrandomvariables.CommunicationsinStatistics-TheoryandMethods.45(2),291-306.(2016)(SCI)
[33],D.Lu*andC.Ma.SomenewquickercontinuedfractionapproximationsforthegammafunctionrelatedtotheNemes’formula.NumericalAlgorithms.70(4),825-833.(2015)(SCI)
[32],D.Lu*.SomeasymptoticformulasforaBrownianmotionfromthemaximumandminimumcomplicateddomains.CommunicationsinStatistics-TheoryandMethods.44(15),3192-3217.(2015)(SCI)
[31],D.LuandL.Song*.SomeasymptoticformulasforaBrownianmotionwitharegularvariationfromaparabolicdomain.CommunicationsinStatistics-TheoryandMethods.44(9),1763-1778.(2015)(SCI)
[30],D.Lu*andZ.Song.SomenewcontinuedfractionestimatesoftheSomos'quadraticrecurrenceconstant.JournalofNumberTheory.155,36-45.(2015)(SCI)
[29],D.Lu*andL.SongandY.Yu.NewsequenceswithcontinuedfractiontowardsEuler'sconstant.AppliedMathematicsandComputation.259,12-20.(2015)(SCI)
[28],D.LuandL.Song*andC.Ma.SomenewasymptoticapproximationsofthegammafunctionbasedonNemes'formula,Ramanujan'sformulaandBurnside'sformula.AppliedMathematicsandComputation.253,1-7.(2015)(SCI)
[27],D.Lu*andL.SongandY.Yu.SomenewcontinuedfractionapproximationofEuler'sconstant.JournalofNumberTheory.147,69-80.(2015)(SCI)
[26],D.Lu*.AnewsharpapproximationfortheGammafunctionrelatedtotheBurnside'sformula.TheRamanujanJournal.35(1),121-129.(2014)(SCI)
[25],D.Lu*.SomeAsymptoticFormulasforaBrownianMotionfromTheMaximumandMinimumDomainswithRegularVaryingBoundary.CommunicationsinStatistics-TheoryandMethods.43(18),3848-3865.(2014)(SCI)
[24],D.Lu*andJ.FengandC.Ma.AgeneralasymptoticformulaofthegammafunctionbasedontheBurnside'sformula.JournalofNumberTheory.145,317-328.(2014)(SCI)
[23],D.Lu*andC.Mortici.SomenewquickerapproximationsofGlaisher-Kinkelin'sandBendersky-Adamchik'sconstants.JournalofNumberTheory.144,340-352.(2014)(SCI)
[22],D.Lu*.SomenewimprovedclassesofconvergencetowardsEuler'sconstant.AppliedMathematicsandComputation.243,24-32.(2014)(SCI)
[21],D.Lu*.SomenewconvergentsequencesandinequalitiesofEuler'sconstant.JournalofMathematicalAnalysisandApplications.419(1),541-552.(2014)(SCI)
[20],C.Mortici*.V.G.Cristea.D.Lu.Completelymonotonicfunctionsandinequalitiesassociatedtosomeratioofgammafunction.AppliedMathematicsandComputation.240,168-174.(2014)(SCI)
[19],D.Lu*andX.Wang.AnewasymptoticexpansionandsomeinequalitiesfortheGammafunction.JournalofNumberTheory.140,314-323.(2014)(SCI)
[18],D.Lu*andL.SongandC.Ma.AgeneratedapproximationofthegammafunctionrelatedtoWindschitl'sformula.JournalofNumberTheory.140,215-225.(2014)(SCI)
[17],L.SongandD.Lu*andF.Liu.UsingconvexcombinationofcopulasandEMalgorithmforcredibility.CommunicationsinStatistics-TheoryandMethods.43(6),1222-1233.(2014)(SCI)
[16],D.Lu*andX.Wang,SomenewnormalcomparisoninequalitiesrelatedtoGordon'sinequality.Statistics&ProbabilityLetter.88,133-140.(2014).(SCI)
[15],D.Lu*.SomequickerclassesofsequencesconvergenttoEuler'sconstant.AppliedMathematicsandComputation.232,172-177.(2014)(SCI)
[14],D.Lu*.AgeneratedapproximationrelatedtotheBurnside'sformula.JournalofNumberTheory.136,414-422.(2014)(SCI)
[13],D.Lu*.AnewquickersequenceconvergenttoEuler'sconstant.JournalofNumberTheory.136,320-329.(2014)(SCI)
[12],D.Lu*andL.SongandY.Xu.Preciselargedeviationsforsumsofindependentrandomvariableswithconsistentlyvaryingtails.CommunicationsinStatistics-TheoryandMethods.43(1),28-43.(2014)(SCI)
[11],L.SongandW.CheandD.Lu*.TheexitprobabilitiesofBrownianmotionwithvariabledimensionapplyingtothecontrolofpopulationgrowth.InternationalJournalofBiomathematics.6(5)1–12.(2013)(SCI)
[10],D.Lu*andX.Wang.AGeneratedapproximationrelatedtotheGosper'sformulaandtheRamanujan'sformula.JournalofMathematicalAnalysisandApplications.406287-292.(2013)(SCI)
[09],X.Wang*andD.LuandL.Song.StatisticalInferenceforPartiallyLinearStochasticModelswithHeteroscedasticErrors.ComputationalStatisticsandDataAnalysis.66150-160.(2013).(SCI)
[08],D.Lu*.Lowerboundsoflargedeviationforsumsoflong-tailedclaimsinamulti-riskmodel.Statistics&ProbabilityLetter,82(7)1242-1250.(2012)(SCI)
[07],D.Lu*andJ.FengandX.Liang.Anoteontheestimateofthebetadistribution.MathematicalInequalities&Applications.15(4)859–870.(2012)(SCI)
[06],D.Lu*andL.SongandY.Wang.AnoteontheestimateofGammadistribution.MathematicalInequalities&Applications.15(1)217–227.(2012)(SCI)
[05],D.Lu*andL.Song,TheasymptoticbehaviorofaBrownianmotionwithadriftfromarandomdomain.CommunicationsinStatistics-TheoryandMethods.41(1),62-75.(2012)(SCI)
[04],D.Lu*,Lowerandupperboundsoflargedeviationforsumsofsubexponentialclaimsinmulti-riskmodel.Statistics&ProbabilityLetter.81(12)1911-1919.(2011).(SCI)
[03],D.Lu*andL.Song,TheFirstExitTimeofaBrownianMotionfromTheMinimumandMaximumParabolicDomains.JournalofTheoreticalProbability.24(4)1028-1043.(2011)(SCI)
[02],D.Lu*andW.V.Li,ANoteonMultivariateGaussianEstimates.JournalofMathematicalAnalysisandApplication.354704-707.(2009)(SCI)
[01],L.Song,D.Lu*andJ.Feng,ThefirstexittimeforaBesselprocessfromtheminimumandmaximumrandomdomains.Statistics&ProbabilityLetter.79(20)2115-2123.(2009)(SCI)
[教育背景]
2010.9--2014.3
北海道大學(xué) 建筑都市空間設(shè)計(jì) 博士
大連理工大學(xué)
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