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Asymptotic distribution of partitioning estimation and modified partitioning estimation for regression functions

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  • Nengxiang Ling
  • Shuhe Hu

Abstract

Estimation of regression function from independent and identically distributed data is considered. In this paper, we investigate partitioning and modified partitioning estimation for regression functions. The asymptotic normality of partitioning and modified partitioning function estimation is shown.

Suggested Citation

  • Nengxiang Ling & Shuhe Hu, 2008. "Asymptotic distribution of partitioning estimation and modified partitioning estimation for regression functions," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 20(4), pages 353-363.
    • Handle: RePEc:taf:gnstxx:v:20:y:2008:i:4:p:353-363
    DOI: 10.1080/10485250802159198
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    References listed on IDEAS

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    1. Algoet, Paul & Györfi, László, 1999. "Strong Universal Pointwise Consistency of Some Regression Function Estimates," Journal of Multivariate Analysis, Elsevier, vol. 71(1), pages 125-144, October.
    2. Lu, Zhan-Qian, 1999. "Nonparametric Regression with Singular Design," Journal of Multivariate Analysis, Elsevier, vol. 70(2), pages 177-201, August.
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