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The asymptotic mean squared error of L-smoothing splines

Author

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  • Abramovich, Felix P.

Abstract

We establish the asymptotical equivalence between L-spline smoothing and kernel estimation. The equivalent kernel is used to derive the asymptotic mean squared error of the L-smoothing spline estimator. The paper extends the corresponding results for polynomial spline smoothing.

Suggested Citation

  • Abramovich, Felix P., 1993. "The asymptotic mean squared error of L-smoothing splines," Statistics & Probability Letters, Elsevier, vol. 18(3), pages 179-182, October.
    • Handle: RePEc:eee:stapro:v:18:y:1993:i:3:p:179-182
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    Cited by:

    1. Campagna, Rosanna & Conti, Costanza & Cuomo, Salvatore, 2020. "Computational error bounds for Laplace transform inversion based on smoothing splines," Applied Mathematics and Computation, Elsevier, vol. 383(C).

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