| Texto completo | |
| Autor(es): |
Bonfim, Rafaela N.
;
Menegatto, Valdir A.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF MULTIVARIATE ANALYSIS; v. 152, p. 237-248, DEC 2016. |
| Citações Web of Science: | 3 |
| Resumo | |
The authors provide a characterization of the continuous and isotropic multivariate covariance functions associated to a Gaussian random field with index set varying over a compact two-point homogeneous space. Sufficient conditions for the strict positive definiteness based on this characterization are presented. Under the assumption that the space is not a sphere, a necessary and sufficient condition is given for the continuous and isotropic multivariate covariance function to be strictly positive definite. Under the same assumption, an alternative necessary and sufficient condition is also provided for the strict positive definiteness of a continuous and isotropic bivariate covariance function based on the main diagonal entries in the matrix representation for the covariance function. (C) 2016 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 14/00277-5 - Núcleos positivos definidos e operadores integrais associados |
| Beneficiário: | Valdir Antonio Menegatto |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 14/14380-2 - Núcleos positivos definidos em esferas: versões matriciais e com parâmetros |
| Beneficiário: | Rafaela Neves Bonfim |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |