Functionals of Gasser--Muller estimators

Authors

PETRE BABILUA
ELIZBAR NADARAYA
GRIGOL SOKHADZE

DOI

10.3906/mat-1310-28

Abstract

The asymptotic properties of a general functional of the Gasser--Muller estimator are investigated in the Sobolev space. The convergence rate, consistency, and central limit theorem are established.

Keywords

Nonparametric regression, Gasser--Muller estimator, functionals

First Page

1090

Last Page

1101

Recommended Citation

BABILUA, PETRE; NADARAYA, ELIZBAR; and SOKHADZE, GRIGOL (2014) "Functionals of Gasser--Muller estimators," Turkish Journal of Mathematics: Vol. 38: No. 6, Article 12. https://doi.org/10.3906/mat-1310-28
Available at: https://journals.tubitak.gov.tr/math/vol38/iss6/12