OPTIMAL GLOBAL RATES OF CONVERGENCE OF M-ESTIMATES FOR NONPARAMETRIC REGRESSION

1995Mathematics被引 4

摘要

Let (X, Y) be a pair of random variables such that X ranges over [0, 1] and Y is real-valued and let go(X) be the conditional expectation of Y given X. Based on a training sample, the piecewise polynomial estimator of go is obtained via usual M-estimates.It is proved that under certain regularity conditions the piecewise polynomial M-estimator achieves the optimal global rate of convergence of estimators for nonparametric regression.

引用本文（GB/T 7714）

Shi Peid. OPTIMAL GLOBAL RATES OF CONVERGENCE OF M-ESTIMATES FOR NONPARAMETRIC REGRESSION[J]. 未知来源, 1995.

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