Resumen de Comparación de estimadores tipo núcleo de variograma

Pilar García Soidán , Manuel Febrero Bande , Wenceslao González Manteiga

• In this work, we propose kernel estimators of the semivariogram, under the assumption of isotropy. Firstly, the Nadaraya-Watson estimator is considered; secondly, the local linear estimator is suggested, which does not require boundary modifications. Several properties of both estimators are established and the selection of the bandwidth parameter is treated via the MSE or the MISE criteria. In all cases, an adaptation of Shapiro and Botha's fit is proposed to produce valid semivariogram estimators. Finally, we describe a numerical study carried out to illustrate the performance of the kernel estimators.