简介：LetX,i.i.d.andY1i.i.d.betwosequencesofrandomvariableswithunknowndistributionfunctionsF(x)andG(y)respectively.X,arecensoredbyY1.InthispaperwestudytheuniformconsistencyoftheKaplan-Meierestimatorunderthecaseey=sup(t:F(t)＜1)＞to=sup(t2G(t)＜1)Thesufficientconditionisdiscussed.

简介：让{X，Xk：k1}是扩大否定地依赖的随机的一个序列有普通分发F令人满意的前的变量>0。让是nonnegative珍视整数的随机的变量，独立于{X，Xk：k1}。在这份报纸，作者为随机的和$S_\tau=\sum\limits_获得必要、足够的条件{n=1}^\tau{X_n}$当随机的数字比被加数有一条更重的尾巴时，有一条一致地变化的尾巴，即，$\frac{{P(X>x)}}{{P(\tau>x)}}\to0$作为x。

简介：InInternetenvironment,trafficflowtoalinkistypicallymodeledbysuperpositionofON/OFFbasedsources.DuringeachON-periodforaparticularsource,packetsarriveaccordingtoaPoissonprocessandpacketsizes(henceservicetimes)canbegenerallydistributed.Inthispaper,weestablishheavytrafficlimittheoremstoprovidesuitableapproximationsforthesystemunderfirst-infirst-out(FIFO)andwork-conservingservicediscipline,whichstatethat,whenthelengthsofbothON-andOFF-periodsarelightlytailed,thesequencesofthescaledqueuelengthandworkloadprocessesconvergeweaklytoshort-rangedependentreflectingGaussianprocesses,andwhenthelengthsofON-and/orOFF-periodsareheavilytailedwithinfinitevariance,thesequencesconvergeweaklytoeitherreflectingfractionalBrownianmotions(FBMs)orcertaintypeoflongrangedependentreflectingGaussianprocessesdependingonthechoiceofscalingasthenumberofsuperposedsourcestendstoinfinity.Moreover,thesequencesexhibitastatespacecollapse-likepropertywhenthenumberofsourcesislargeenough,whichisakindofextensionofthewell-knownLittle’slawforM/M/1queueingsystem.Theorytojustifytheapproximationsisbasedonappropriateheavytrafficconditionswhichessentiallymeanthattheserviceratecloselyapproachesthearrivalratewhenthenumberofinputsourcestendstoinfinity.