On the asymptotic normality of the L2-error in partitioning regression estimation

Author:

Beirlant Jan,Györfi László

Publisher

Elsevier BV

Subject

Applied Mathematics,Statistics, Probability and Uncertainty,Statistics and Probability

Reference8 articles.

1. Beirlant, J., Györfi, L., Lugosi, G., 1994. On the asymptotic normality of theL1- andL2- errors in histogram density estimation. Canadian J. Statist. 22, 309–318.

2. Beirlant, J., Mason, D., 1995. On the asymptotic normality ofLp-norms of empirical functionals. Math. Methods Statist. 4, 1–19.

3. Devroye, L., Györfi, L., 1983. Distribution-free exponential bound on theL1 error of partitioning estimates of a regression function. In: Konecny, F., Mogyoródi, J., Wertz, W. (Eds.), Proc. 4th Pannonian Symp. on Mathematical Statistics, Akadémiai Kiadó, Budapest, Hungary, pp. 67–76.

4. Devroye, L., Györfi, L., Lugosi, G., 1996. A Probabilistic Theory of Pattern Recognition. Springer, New York.

5. Fan, J., Gijbels, I., 1996. Local Polynomial Modelling and its Applications, Monograph on Statistics and Applied Probability 66. Chapman & Hall, London.

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