Non-universal fluctuations of the empirical measure for isotropic stationary fields on
In this paper, we consider isotropic and stationary real Gaussian random fields defined on S
2× R and we investigate the asymptotic behavior, as T→+∞, of the empirical measure …
2× R and we investigate the asymptotic behavior, as T→+∞, of the empirical measure …
Twenty-two families of multivariate covariance kernels on spheres, with their spectral representations and sufficient validity conditions
The modeling of real-valued random fields indexed by spherical coordinates arises in
different disciplines of the natural sciences, especially in environmental, atmospheric and …
different disciplines of the natural sciences, especially in environmental, atmospheric and …
LASSO estimation for spherical autoregressive processes
The purpose of the present paper is to investigate a class of spherical functional
autoregressive processes in order to introduce and study LASSO (Least Absolute Shrinkage …
autoregressive processes in order to introduce and study LASSO (Least Absolute Shrinkage …
Prediction theory for stationary functional time series
NH Bingham - Probability Surveys, 2022 - projecteuclid.org
Prediction theory for stationary functional time series Page 1 Probability Surveys Vol. 19 (2022)
160–184 ISSN: 1549-5787 https://doi.org/10.1214/20-PS360 Prediction theory for stationary …
160–184 ISSN: 1549-5787 https://doi.org/10.1214/20-PS360 Prediction theory for stationary …
Gaussian random fields: with and without covariances
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 …
theorem gives a natural way to describe their covariance structure. We continue with a study …
[HTML][HTML] Models of space-time random fields on the sphere
Models of space-time random fields on the sphere Modern Stochastics: Theory and Applications
logo Help Login Register 1.Home 2.Issues 3.Volume 9, Issue 2 (2022) 4.Models of space-time …
logo Help Login Register 1.Home 2.Issues 3.Volume 9, Issue 2 (2022) 4.Models of space-time …
A note on the derivatives of isotropic positive definite functions on the Hilbert sphere
J Jäger - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2019 - emis.de
In this note we give a recursive formula for the derivatives of isotropic positive definite
functions on the Hilbert sphere. We then use it to prove a conjecture stated by Trübner and …
functions on the Hilbert sphere. We then use it to prove a conjecture stated by Trübner and …