JOURNAL ARTICLE
非参数回归函数最近邻估计的强相合性
Year: 1984 Journal: Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 14 (5)Pages: 387-393 Publisher: Science China Press
Abstract
设(X,Y),(X1,Y1),…,(Xn,Yn)为取值Rd×R的独立同分布随机向量,E|Y|<∞. 设mn(x)为m(x)=E(Y|X=x)的最近邻估计. 本文在E|Y|r<∞(对某个r>1)或E{exp(t|Y|λ)}<∞(对某个λ>0及t>0)的条件下,建立了mn(x)的强相合性. 其它附加条件均与(X,Y)的分布无关.
Keywords:
Physics Crystallography Chemistry
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