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Nonparametric regression estimation by Bernstein-Durrmeyer polynomials

In: Tatra Mountains Mathematical Publications, vol. 17, no. 3
Ewaryst Rafajłowicz - Ewa Skubalska-Rafajłowicz
Detaily:
Rok, strany: 1999, 227 - 239
O článku:
In the paper a new nonparametric estimator (based on Bernstein-Durrmeyer polynomials) of a regression function is proposed. The estimator is able to attain the best possible convergence rate in the MISF sense without any additional corrections of boundary effects. The extension to the multivariate case (using space-filling curves) is also discussed. Simulations indicate that the estimator is not too sensitive to an incorrect choice of the polynomial degree, which is the smoothing parameter.
Ako citovať:
ISO 690:
Rafajłowicz, E., Skubalska-Rafajłowicz, E. 1999. Nonparametric regression estimation by Bernstein-Durrmeyer polynomials. In Tatra Mountains Mathematical Publications, vol. 17, no.3, pp. 227-239. 1210-3195.

APA:
Rafajłowicz, E., Skubalska-Rafajłowicz, E. (1999). Nonparametric regression estimation by Bernstein-Durrmeyer polynomials. Tatra Mountains Mathematical Publications, 17(3), 227-239. 1210-3195.