dc.contributor.author
Bardina i Simorra, Xavier
dc.contributor.author
Rovira Escofet, Carles
dc.date.issued
2022-11-08T09:07:20Z
dc.date.issued
2022-11-08T09:07:20Z
dc.date.issued
2022-11-08T09:07:20Z
dc.identifier
https://hdl.handle.net/2445/190547
dc.description.abstract
In this paper, we show an approximation in law, in the space of the continuous functions on $[0,1]^2$, of two-parameter Gaussian processes that can be represented as a Wiener type integral by processes constructed from processes that converge to the Brownian sheet. As an application, we obtain a sequence of processes constructed from a Lévy sheet that converges in law towards the fractional Brownian sheet.
dc.format
application/pdf
dc.publisher
Sveučili te Josipa Jurja Strossmayera u Osijeku
dc.relation
Reproducció del document publicat a: https://www.mathos.unios.hr/mc/index.php/mc/article/view/3687
dc.relation
Mathematical Communications, 2021, vol. 26, num. 2, p. 131-150
dc.rights
cc-by-nc-nd (c) Sveučili te Josipa Jurja Strossmayera u Osijeku, 2021
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Processos gaussians
dc.subject
Teorema del límit central
dc.subject
Processos de Lévy
dc.subject
Camps aleatoris
dc.subject
Gaussian processes
dc.subject
Central limit theorem
dc.subject
Lévy processes
dc.title
Weak convergence to a class of two-parameter Gaussian processes from a Lévy sheet
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion