Comparación de estimadores tipo núcleo de variograma

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

Publisher: Jaén : Universidad de Jaén, 2001

ISBN: 84-8439-080-2

Year of publication: 2001

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

Type: Conference paper

Abstract

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.