3 citations · 4 across the 4 of their papers we have counts for
6 papers
Integral Representations of Ultraspherical Polynomials II
N. H. Bingham, Tasmin L. Symons
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 se…
Spatiotemporal mapping of malaria prevalence in Madagascar using routine surveillance and health survey data
Rohan Arambepola, Suzanne H. Keddie, Emma L. Collins +17
Malaria transmission in Madagascar is highly heterogeneous, exhibiting spatial, seasonal and long-term trends. Previous efforts to map malaria risk in Madagascar used prevalence da…
Gaussian random fields on the sphere and sphere cross line
N. H. Bingham, Tasmin L. Symons
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 discontinuo…
Dimension walks on
N. H. Bingham, Tasmin L. Symons
We verify that the established one- and two-step recurrences for positive definite functions on spheres extend to the spatio-temporal case.
Probability, Statistics and Planet Earth, II:The Bochner-Godement theorem for symmetric spaces
N. H. Bingham, Tasmin L. Symons
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…
Probability, Statistics and Planet Earth, I: Geotemporal covariances
N. H. Bingham, Tasmin L. Symons
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,…