Vitenskapelig artikkel   2013

Hansen, Linda Vadgaard; Thorarinsdottir, Thordis L.

Publikasjonsdetaljer

Tidsskrift:

Statistics and Probability Letters, vol. 83, p. 850–855, 2013

Utgave:

3

Internasjonale standardnumre:

Trykt: 0167-7152
Elektronisk: 1879-2103

Lenker:

DOI: doi.org/10.1016/j.spl.2012.12.009

The class of moving average models offers a flexible modeling framework for Gaussian random fields with many well known models such as the Matérn covariance family and the Gaussian covariance falling under this framework. Moving average models may also be viewed as a kernel smoothing of a Lévy basis, a general modeling framework which includes several types of non-Gaussian models. We propose a new one-parameter spatial correlation model which arises from a power kernel and show that the associated Hausdorff dimension of the sample paths can take any value between 2 and 3. As a result, the model offers similar flexibility in the fractal properties of the resulting field as the Matérn model.