Petre BABILUA, Elizbar NADARAYA, Grigol SOKHADZE

Functionals of Gasser--Muller estimators

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.

Anahtar Kelimeler:

Nonparametric regression, Gasser--Muller estimator, functionals

Functionals of Gasser--Muller estimators

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,

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