Bootstrap approximation of nearest neighbor regression function estimates
نویسندگان
چکیده
منابع مشابه
Necessary and Sufficient Conditions for the Pointwise Convergence of Nearest Neighbor Regression Function Estimates
where (v,1, ..., v,,) is a given probability vector, and (Xt(x), Yl(x)), ..., (X.(x), Y,(x)) is a permutation of (X1, I71) . . . . , (X, , Y,) according to increasing values of IlXi-x[I, x e R a. When [IXi-xll = H X j x l [ but i < j , X i is said to be closer to x than X~. The consistency properties of m, for special choices of the weight vector (v,,, ..., v,,,) are discussed in Cover (1968), ...
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Let (X, Y) be an IR” x H-valued random vector and let (Xi, Y,),..., (X,, YN) be. a random sample drawn from its distribution. Divide the data sequence into disjoint blocks of length I , ,..., I,, find the nearest neighbor to X in each block and call the corresponding couple (fl, u). It is shown that the estimate m.(X) = Cy=, wfli q/C;=, w,, of m(X) = E( YjX) satisfies E(lm.(X) m(X)(Pj 3 0 (p 2 ...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 1990
ISSN: 0047-259X
DOI: 10.1016/0047-259x(90)90082-s