16 citations · 94 across the 35 of their papers we have counts for
12 papers · 1 filter
Szego Theorem for Operator Orthogonal Polynomials
Badr Missaoui, Nicholas H. Bingham
In this paper, we extend some classical results of the Szego theory of orthogonal polynomials on the unit circle to the infinite-dimensional case, and we establish the correspondin…
Gaussian random fields: with and without covariances
N. H. Bingham, Tasmin L. Symons
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 Ma…
Prediction theory in continuous time
N. H. Bingham
We consider prediction theory for stationary stochastic processes in continuous time. We discuss prediction using the whole (infinite) past, and using only a finite section of the…
Prediction Theory for Stationary Functional Time Series
Nicholas Hugh Bingham
We survey aspects of prediction theory in infinitely many dimensions, with a view to the theory and applications of functional time series.
Extremes and regular variation
N. H. Bingham, A. J. Ostaszewski
We survey the connections between extreme-value theory and regular variation, in one and higher dimensions, from the algebraic point of view of our recent work on Popa groups.
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…