ASYMPTOTIC NORMALITY OF SOME ESTIMATORS IN A FIXED-DESIGN SEMIPARAMETRIC REGRESSION MODEL WITH LINEAR TIME SERIES ERRORS

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摘要 ConsiderasemiparametricregressionmodelwithlineartimeserieserrorsYk=x'kβ+g(tk)+εk,1≤k≤n,whereYk'sareresponses,xk=(xk1,xk2,…,xkp)'andtk∈T包含Rarefixeddesignpoints,β=(β1,β2,…,βp)'isanunknownparametervector,g(·)isanunknonwnboundedreal-valuedfunctiondefinedonacompactsubsetTofthereallineR,andεkisalinearprocessgivenbyεk=∑j=0^∞ψjek-j,ψ0=1,where∑j=0^∞|ψj|<∞,andej,j=0,±1,±2,…,arei.i.d.randomvariables.Inthispaperweestablishtheasymptoticnormalityoftheleastsquaresestimatorofβ,asmoothestimatorofg(·),andestimatorsoftheautocovarianceandautocorrelationfunctionsofthelinearprocessεk.
机构地区 不详
出版日期 2004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)