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Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in L2

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  • Rafaj[left ceiling]owicz, Ewaryst

Abstract

In this note a class of nonparametric orthogonal series type estimators for regression function fitting is considered. Sufficient conditions are given for the estimators to attain the optimal convergence rate in the mean integrated square error sense. Using results from the theory of numerical integration, examples of estimators are given, for which the above mentioned conditions hold.

Suggested Citation

  • Rafaj[left ceiling]owicz, Ewaryst, 1987. "Nonparametric orthogonal series estimators of regression: A class attaining the optimal convergence rate in L2," Statistics & Probability Letters, Elsevier, vol. 5(3), pages 219-224, April.
  • Handle: RePEc:eee:stapro:v:5:y:1987:i:3:p:219-224
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