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程业斌 《高校应用数学学报(A辑)》1999,14(2):169-177
本文研究异方差回归模型Yi^(n)=g(xi^(n))+εi^(n),i=1,…,n,其中g是右实函数,xi^(n)是非随机设计点列,εi^(n)是随机误差,文中定义了一类g(x)的近邻型估计gn(x)=(n)∑(i=1)Wm(x)Yi^(n),得到了r阶平均相全和渐近正态性,特别,在(∞)∑(n=1)(n)∑(i=1)E/εi^(n)/^s/(ni)^s/r〈∞,maxE(1≤i≤n)/εi(^ 相似文献
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FIXED-DESIGN REGRESSION FOR LINEARTIME SERIES 总被引:3,自引:1,他引:3
1 IntroductionLet A be a subset of tlie real line R. Consider a fixed design regression modelYni = g(Z.i) + Eni, 0 S i S n, (1.1)liere xnot', xnn E A, are design points, En1,' f Enn are randon errors f g is an unknownfnnctiou. Assunle that for each nl {E.i, 0 5 i S n} have the saxne distribution as {(i, 0 5 i S n},where (f is a general weakly stationary llnear processhere {Z,} is a nurtingale dtherence sequence ralative to an increasing sequence of J-fields Rcosuch that E(ZllR--,) … 相似文献
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