Toggle Main Menu Toggle Search

Open Access padlockePrints

The Newcastle University research output collection, currently available on ePrints, will shortly be moving to a new open repository platform, Figshare. To prepare for the data migration we have paused adding new content to ePrints, and will resume once the new repository is launched. During this time you will continue to have access to ePrints (but no new content will appear). We will share updates here when available.

Regularity properties and simulations of Gaussian random fields on the sphere cross time

Lookup NU author(s): Dr Alfredo Alegria Jimenez, Professor Emilio Porcu

Downloads

Licence

This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).

Abstract

© 2018, Institute of Mathematical Statistics. All rights reserved. We study the regularity properties of Gaussian fields defined over spheres cross time. In particular, we consider two alternative spectral decompositions for a Gaussian field on Sd × R. For each decomposition, we establish regularity properties through Sobolev and interpolation spaces. We then propose a simulation method and study its level of accuracy in the L2 sense. The method turns to be both fast and efficient.

Publication metadata

Author(s): Clarke de La Cerda J, Alegria A, Porcu E

Publication type: Article

Publication status: Published

Journal: Electronic Journal of Statistics

Year: 2018

Volume: 12

Issue: 1

Pages: 399-426

Online publication date: 15/02/2018

Acceptance date: 02/04/2016

Date deposited: 24/04/2018

ISSN (print): 1477-0520

ISSN (electronic): 1477-0539

Publisher: Institute of Mathematical Statistics

URL: https://doi.org/10.1214/18-EJS1393

DOI: 10.1214/18-EJS1393

Altmetrics

Altmetrics provided by Altmetric

Share