Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities

Avram, Florin, Leonenko, Nikolai N. and Sakhno, Ludmila 2015. Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities. Stochastic Processes and their Applications 10.1016/j.spa.2014.11.010

[img]
Preview
PDF - Accepted Post-Print Version
Download (270kB) | Preview

Abstract

We obtain central limit theorems for additive functionals of stationary fields under integrability conditions on the higher-order spectral densities. The proofs are based on the Hölder–Young–Brascamp–Lieb inequality.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Integral of random fields; Asymptotic normality; Higher-order spectral densities; Hölder–Young–Brascamp–Lieb inequality
Publisher: Elsevier
ISSN: 0304-4149
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 12 November 2014
Last Modified: 29 Jun 2019 19:31
URI: http://orca.cf.ac.uk/id/eprint/68355

Citation Data

Cited 3 times in Google Scholar. View in Google Scholar

Cited 1 time in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics