Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Liu, Shanqi, Hu, Yaozhong, Gao, Hongjun
Natura: Preprint
Pubblicazione: 2025
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866916777756196864
author Liu, Shanqi
Hu, Yaozhong
Gao, Hongjun
author_facet Liu, Shanqi
Hu, Yaozhong
Gao, Hongjun
contents This paper is devoted to proving a (Lindeberg-Feller type ) central limit theorem for the multilevel Monte Carlo estimator associated with the Euler discretization scheme for the stochastic Volterra equations with fractional kernels $K(u)=u^{H-\frac{1}{2}}/Γ(H+1/2), H\in (0,1/2]$.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03421
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels
Liu, Shanqi
Hu, Yaozhong
Gao, Hongjun
Probability
This paper is devoted to proving a (Lindeberg-Feller type ) central limit theorem for the multilevel Monte Carlo estimator associated with the Euler discretization scheme for the stochastic Volterra equations with fractional kernels $K(u)=u^{H-\frac{1}{2}}/Γ(H+1/2), H\in (0,1/2]$.
title Central limit theorem of Multilevel Monte Carlo Euler estimators for Stochastic Volterra equations with fractional kernels
topic Probability
url https://arxiv.org/abs/2506.03421