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Exponential bounds of mean error for the nearest neighbor estimates of regression functions

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  • Zhao, L. C.

Abstract

Let (X, Y), (X1, Y1),..., (Xn, Yn) be i.i.d. (Rr - R)-valued random vectors with EY

Suggested Citation

  • Zhao, L. C., 1987. "Exponential bounds of mean error for the nearest neighbor estimates of regression functions," Journal of Multivariate Analysis, Elsevier, vol. 21(1), pages 168-178, February.
    • Handle: RePEc:eee:jmvana:v:21:y:1987:i:1:p:168-178
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    Citations

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    Cited by:

    1. Dmytro Furer & Michael Kohler, 2015. "Smoothing spline regression estimation based on real and artificial data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(6), pages 711-746, August.
    2. Dmytro Furer & Michael Kohler & Adam Krzyżak, 2013. "Fixed-design regression estimation based on real and artificial data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 25(1), pages 223-241, March.
    3. Hertel, Ida & Kohler, Michael, 2013. "Estimation of the optimal design of a nonlinear parametric regression problem via Monte Carlo experiments," Computational Statistics & Data Analysis, Elsevier, vol. 59(C), pages 1-12.
    4. Kohler, Michael & Krzyżak, Adam, 2015. "Estimation of a jump point in random design regression," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 247-255.
    5. Kohler, Michael & Krzyżak, Adam, 2012. "Nonparametric estimation of non-stationary velocity fields from 3D particle tracking velocimetry data," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1566-1580.
    6. Kelava, Augustin & Kohler, Michael & Krzyżak, Adam & Schaffland, Tim Fabian, 2017. "Nonparametric estimation of a latent variable model," Journal of Multivariate Analysis, Elsevier, vol. 154(C), pages 112-134.

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