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Almost Sure Convergence Properties of Nadaraya-Watson Regression Estimates

In: Modeling Uncertainty

Author

Listed:
  • Harro Walk

    (Universitä Stuttgart)

Abstract

For Nadaraya-Watson regression estimates with window kernel self-contained proofs of strong universal consistency for special bandwidths and of the corresponding Cesàro summability for general bandwidths are given.

Suggested Citation

  • Harro Walk, 2002. "Almost Sure Convergence Properties of Nadaraya-Watson Regression Estimates," International Series in Operations Research & Management Science, in: Moshe Dror & Pierre L’Ecuyer & Ferenc Szidarovszky (ed.), Modeling Uncertainty, chapter 0, pages 201-223, Springer.
    • Handle: RePEc:spr:isochp:978-0-306-48102-4_10
    DOI: 10.1007/0-306-48102-2_10
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    Citations

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    Cited by:

    1. Györfi László & Walk Harro, 2013. "Rate of convergence of the density estimation of regression residual," Statistics & Risk Modeling, De Gruyter, vol. 30(1), pages 55-74, March.
    2. Devroye Luc & Schäfer Dominik & Györfi László & Walk Harro, 2003. "The estimation problem of minimum mean squared error," Statistics & Risk Modeling, De Gruyter, vol. 21(1), pages 15-28, January.

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