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Nonparametric kernel estimation of an isotropic variogram

✍ Scribed by Pilar H. Garcı́a-Soidán; Manuel Febrero-Bande; Wenceslao González-Manteiga

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
364 KB
Volume
121
Category
Article
ISSN
0378-3758

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✦ Synopsis

In this paper, we propose nonparametric kernel estimators of the semivariogram, under the assumption of isotropy. At ÿrst, a symmetric kernel is considered in order to construct a consistent estimator, so that the selection of the bandwidth parameter is treated via the MSE or the MISE criteria. Next, the use of a boundary kernel will be suggested in order to obtain satisfactory estimates near the semivariogram endpoint. In all cases, an adaptation of Shapiro and Botha's ÿt is proposed to produce valid semivariogram estimators. Finally, we describe a numerical study carried out to illustrate the performance of the kernel estimators.

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