Comparación de estimadores tipo núcleo de variograma

  1. García Soidán, Pilar
  2. Febrero Bande, Manuel
  3. González Manteiga, Wenceslao
Llibre:
XXVI Congreso Nacional de Estadística e Investigación Operativa: Úbeda, 6-9 de noviembre de 2001

Editorial: Jaén : Universidad de Jaén, 2001

ISBN: 84-8439-080-2

Any de publicació: 2001

Congrés: Congreso Nacional de Estadística e Investigación Operativa (26. 2001. Úbeda)

Tipus: Aportació congrés

Resum

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.