简介:Inthisarticle,weconsideraclassofkernelquantileestimatorswhichisthelinearcombinationoforderstatistics.Thisclassofkernelquantileestimatorscanberegardedasanextensionofsomeexistingestimators.Theexactmeansquareerrorexpressionforthisclassofestimatorswillbeprovidedwhendataareuniformlydistributed.Theimplementationoftheseestimatorsdependsmostlyonthebandwidthselection.Wethendevelopanadaptivemethodforbandwidthselectionbasedontheintersectionconfidenceintervals(ICI)principle.MonteCarlostudiesdemonstratethatourproposedapproachiscomparativelyremarkable.Weillustrateourmethodwitharealdataset.
简介:InthispaperweproposetheqanaloguesofmodifiedBaskakov-Sz′aszoperators.Weestimatethemomentsandestablisheddirectresultsintermofmodulusofcontinuity.Anestimatefortherateofconvergenceandweightedapproximationpropertiesoftheqoperatorsarealsoobtained.
简介:本文引进一类q-Durrmeyer-Stancu算子,并研究该算子列的一些统计逼近性质。得到算子列的统计逼近定理,同时借助连续模和Lipschitz函数类给出算子列统计收敛速度的估计。