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pro vyhledávání: '"Symons, Tasmin L"'
Autor:
Bingham, N. H., Symons, Tasmin L.
We begin with isotropic Gaussian random fields, and show how the Bochner-Godement theorem gives a natural way to describe their covariance structure. We continue with a study of Mat\'ern processes on Euclidean space, spheres, manifolds and graphs, us
Externí odkaz:
http://arxiv.org/abs/2111.11960
Autor:
Bingham, N. H., Symons, Tasmin L.
In the first part, by the first author's work of 1972, an integral representation for an ultraspherical polynomial of higher index in terms of one of lower index and an infinite series was obtained. While this representation works well from a theoret
Externí odkaz:
http://arxiv.org/abs/2101.11809
Autor:
Arambepola, Rohan, Keddie, Suzanne H., Collins, Emma L., Twohig, Katherine A., Amratia, Punam, Bertozzi-Villa, Amelia, Chestnutt, Elisabeth G., Harris, Joseph, Millar, Justin, Rozier, Jennifer, Rumisha, Susan F., Symons, Tasmin L., Vargas-Ruiz, Camilo, Andriamananjara, Mauricette, Rabeherisoa, Saraha, Ratsimbasoa, Arsène C., Howes, Rosalind E., Weiss, Daniel J., Gething, Peter W., Cameron, Ewan
Malaria transmission in Madagascar is highly heterogeneous, exhibiting spatial, seasonal and long-term trends. Previous efforts to map malaria risk in Madagascar used prevalence data from Malaria Indicator Surveys. These cross-sectional surveys, cond
Externí odkaz:
http://arxiv.org/abs/2008.08358
Akademický článek
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Autor:
Bingham, N. H., Symons, Tasmin L.
We review the Dudley integral for the Belyaev dichotomy applied to Gaussian processes on spheres, and discuss the approximate (or restricted) continuity of paths in the discontinuous case. We discuss also the spatio-temporal case, of sphere cross lin
Externí odkaz:
http://arxiv.org/abs/1812.02103
Autor:
Bingham, N. H., Symons, Tasmin L.
We verify that the established one- and two-step recurrences for positive definite functions on spheres extend to the spatio-temporal case.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1809.03955
Publikováno v:
In Stochastic Processes and their Applications August 2022 150:788-801
Autor:
Lucas, Tim C.D., Nandi, Anita K., Keddie, Suzanne H., Chestnutt, Elisabeth G., Howes, Rosalind E., Rumisha, Susan F., Arambepola, Rohan, Bertozzi-Villa, Amelia, Python, Andre, Symons, Tasmin L., Millar, Justin J., Amratia, Punam, Hancock, Penelope, Battle, Katherine E., Cameron, Ewan, Gething, Peter W., Weiss, Daniel J.
Publikováno v:
In Spatial and Spatio-temporal Epidemiology June 2022 41
Autor:
Bingham, N. H., Symons, Tasmin L.
The Bochner-Godement theorem extends the classical Bochner and Bochner-Schoenberg theorems from the context of Euclidean spaces and spheres to general symmetric spaces. We show how it also includes recent results on products of symmetric spaces: the
Externí odkaz:
http://arxiv.org/abs/1707.05204
Autor:
Bingham, N. H., Symons, Tasmin L.
The study of covariances (or positive definite functions) on the sphere (the Earth, in our motivation) goes back to Bochner and Schoenberg (1940--42) and to the first author (1969, 1973), among others. Extending to the geotemporal case (sphere cross
Externí odkaz:
http://arxiv.org/abs/1706.02972