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- W2382148637 abstract "Let X be a d-dimensional r.v.and Y be a r.v.For every fixed x∈R~d,F_x donotesthe distribution of r.v.Y|x.(?)(x) is a functional defined in set{F_x∶x∈R~d}.If(?)(x)has the form of Hoeffding U-statistics,there exists an unbiased estimate g(Z_1,…,Z_k),where Z_1,…,Z_k are i.i.d～F_x.For convenience,we only consider that the kernel in(?)(x)is 2-dimensional;then (?)(x)can be written(?)(x)=E{h((?)_1,(?)_2)|(?)_1=(?)_2=x}where h(y_1,y_2)is a symmetric Borel real function in R~2.Let(?)(x)be the neighbor estimates of (?)(x).We consider various consistency of(?)(x).Under some general conditions,we establish that(?)(x)(?)(x),a.e.x(μ),(?)_n(x)(?)(X),and(?)(X)→(?)(X),a.s.." @default.
- W2382148637 created "2016-06-24" @default.
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- W2382148637 date "1985-01-01" @default.
- W2382148637 modified "2023-09-26" @default.
- W2382148637 title "A NEIGHBOR ESTIMATE FOR A KIND OF NONLINEAR REGRESSION FUNCTION" @default.
- W2382148637 hasPublicationYear "1985" @default.
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