Complete convergence for arrays of rowwise negatively superadditive-dependent random variables and its applications

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摘要 Inthispaper,anexponentialinequalityforthemaximalpartialsumsofnegativelysuperadditive-dependent(NSD,inshort)randomvariablesisestablished.Byusingtheexponentialinequality,wepresentsomegeneralresultsonthecompleteconvergenceforarraysofrowwiseNSDrandomvariables,whichimproveorgeneralizethecorrespondingonesofWangetal.[28]andChenetal.[2].Inaddition,somesufficientconditionstoprovethecompleteconvergenceareprovided.Asanapplicationofthecompleteconvergencethatweestablished,wefurtherinvestigatethecompleteconsistencyandconvergencerateoftheestimatorinanonparametricregressionmodelbasedonNSDerrors.
机构地区 不详
出版日期 2016年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)