简介:1.IntrodnctionThispaperextendsthestudyofthesingularmatrixvariatebetadistributionofrank1[1]tothecaseofageneralrank.Astherelateddistributiontonormalsampling,thematrixvariatebetadistribution(alsocalledthemultivariatebetadistribution)hasbeenstudiedextens...
简介:在这篇论文,我们直接证明乘综合的组的伪-定义代数学同形。我们也乘综合的组给在光滑的分发组和伪-之间的等价的一条定理。关键词综合的组-分发组-Weyl部分演算先生(2000)题目分类47D62-26A33部分由西班牙的工程MTM2004-03036,MCYTDGI鈥揊EDER和DGA支持了工程鈥淎n谩lisisMatem谩ticoyAplicaciones鈥?E-12/25
简介:Weimproveestimatesforthedistributionofprimitiveλ-rootsofacompositemodulusqyieldinganasymptoticformulaforthenumberofprimitiveλ-rootsinanyintervalIoflength|I|>>q1/2+c.Similarresultsareobtainedforthedistributionoforderedpairs(x,x-1)withxaprimitiveA-root,andforthenumberofprimitiveλ-rootssatisfyinginequalitiessuchas|x-x-1|
简介:Inthispaper,theconceptofdistributioneffectisproposedwithoutthecausaldiagram.FollowingthenotationofStone[11],weassumethattheexposuretreatmentXisanunknowndeterministicfunctionoftheconfoundersetPa(X)andarandomerrorε.Wediscusssufficientandnecessaryconditionsforhomogeneity,collapsibilityandnonconfoundingfordistributioneffectsanddiscussrelationsamongthem.
简介:Makinguseofaneasiermethod,thispaperderivestheprobabilitydensityfunction(pdf)ofthelinearcombinationofrandomvariableZ=αX+βY.Furthermore,cumulativedistributionfunction(cdf)ofZ=αX+βY,whereXandYhavethebivariateexponentialdistributions,hasalsobeenproposedinthispaper.Resultsfromthispaperwouldhaveimportantroleinthereliabilitystudy.
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简介:Byusingthenon-parametricleastsquaremethod,thestrongconsistentestimationsofdistributionfunctionandfailurefunctionareestablished,wherethedistributionfunctionF(x)afterlogisttransformationisassumedtobeapproximatedbyapolynomial.Theperformanceofsimulationshowsthattheestimationsarehighlysatisfactory.
简介:Considera-mixingsequenceofidenticallydistributedrandomvariableswiththeunderlyingdistributioninthedomainofattractionofthenormaldistribution.Thispaperprovesthatlawoftheiteratedlogarithmholdsfor-mixingsequencesofrandomvariables.OurresultsgeneralizeandimproveTheorems1.2-1.3ofQiandCheng(1996)fromthei.i.d.caseto-mixingsequences.