caa a22 4500 467922721 CHVBK 20180406152921.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s00477-006-0048-3 doi (NATIONALLICENCE)springer-10.1007/s00477-006-0048-3 Nonseparable stationary anisotropic space-time covariance functions [Elektronische Daten] [E. Porcu, P. Gregori, J. Mateu] Obtaining new and flexible classes of nonseparable spatio-temporal covariances and variograms has resulted a key point of research in the last years. The goal of this paper is to introduce and develop new spatio-temporal covariance models taking into account the problem of spatial anisotropy. Recent literature has focused on the problem of full symmetry and the problem of anisotropy has been overcome. Here we propose a generalization of Gneiting's (J Am Stat Assoc 97:590-600, 2002a) approach and obtain new classes of stationary nonseparable spatio-temporal covariance functions which are spatially anisotropic. The resulting structures are proved to have certain interesting mathematical properties, together with a considerable applicability. Springer-Verlag, 2006 Bivariate Laplace transform nationallicence Completely monotone functions nationallicence Full symmetry nationallicence Nonseparability nationallicence Space-time covariance functions nationallicence Anisotropy nationallicence Porcu E. Department of Mathematics, Universitat Jaume I, Campus Riu Sec, 12071, Castellón, Spain aut Gregori P. Department of Mathematics, Universitat Jaume I, Campus Riu Sec, 12071, Castellón, Spain aut Mateu J. Department of Mathematics, Universitat Jaume I, Campus Riu Sec, 12071, Castellón, Spain aut Stochastic Environmental Research and Risk Assessment Springer-Verlag 21/2(2006-12-01), 113-122 1436-3240 21:2<113 2006 21 477 https://doi.org/10.1007/s00477-006-0048-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00477-006-0048-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Porcu E. Department of Mathematics, Universitat Jaume I, Campus Riu Sec, 12071, Castellón, Spain aut NATIONALLICENCE 700 1- Gregori P. Department of Mathematics, Universitat Jaume I, Campus Riu Sec, 12071, Castellón, Spain aut NATIONALLICENCE 700 1- Mateu J. Department of Mathematics, Universitat Jaume I, Campus Riu Sec, 12071, Castellón, Spain aut NATIONALLICENCE 773 0- Stochastic Environmental Research and Risk Assessment Springer-Verlag 21/2(2006-12-01), 113-122 1436-3240 21:2<113 2006 21 477 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer