BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250712T114202EDT-8403nv9Ue1@132.216.98.100 DTSTAMP:20250712T154202Z DESCRIPTION:Title: A family of covariance functions for random fields on sp heres\n\nAbstract: The Matérn family of isotropic covariance functions has been central to the theoretical development and application of statistica l models for geospatial data. For global data defined over the whole spher e representing planet Earth\, the natural distance between any two locatio ns is the great circle distance. In this setting\, the Matern family of co variance functions has a restriction on the smoothness parameter\, making it an unappealing choice to model smooth data. Finding a suitable analogue for modelling data on the sphere is still an open problem. This work prop oses a new family of isotropic covariance functions for random fields defi ned over the sphere. The proposed family has four parameters\, one of whic h indexes the mean square differentiability of the corresponding Gaussian field\, and also allows for any admissible range of fractal dimension. We apply the proposed model to a dataset of precipitable water content over a large portion of the Earth\, and show that the model gives more precise p redictions of the underlying process at unsampled locations than does the Matérn model using chordal distances.\n DTSTART:20191112T203000Z DTEND:20191112T213000Z LOCATION:Room D4-2019\, CA\, Université de Sherbrooke SUMMARY:Francisco Cuevas\, UQÀM URL:/mathstat/channels/event/francisco-cuevas-uqam-302 424 END:VEVENT END:VCALENDAR