Continuity with respect to the Hurst parameter of the laws of the multiple fractional integrals

DOI10.1016/j.spa.2006.12.005zbMath1130.60008OpenAlexW2039123215MaRDI QIDQ2642031

Maria Jolis, Noèlia Viles

Publication date: 20 August 2007

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2006.12.005

zbMATH Keywords

continuity w.r.t. the Hurst parametermultiple fractional stochastic integrals

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic integrals (60H05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Continuity in law for solutions of SPDES with space-time homogeneous Gaussian noise ⋮ Continuity with respect to the Hurst parameter of solutions to stochastic evolution equations driven by \(H\)-valued fractional Brownian motion ⋮ SPDEs with linear multiplicative fractional noise: continuity in law with respect to the Hurst index ⋮ Continuity in the Hurst parameter of the law of the Wiener integral with respect to the fractional Brownian motion ⋮ Continuity in the Hurst parameter of the law of the symmetric integral with respect to the fractional Brownian motion ⋮ SPDEs with fractional noise in space: continuity in law with respect to the Hurst index

Cites Work

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• Derivatives of Wiener functionals and absolute continuity of induced measures
• Stochastic and multiple Wiener integrals for Gaussian processes
• Multiple stochastic fractional integrals: A transfer principle for multiple stochastic fractional integrals
• Besov regularity of stochastic integrals with respect to the fractional Brownian motion with parameter \(H>1/2\)
• Are classes of deterministic integrands for fractional Brownian motion on an interval complete?
• Weak convergence to the multiple Stratonovich integral.
• Multiple fractional integrals
• Chaos decomposition of multiple fractional integrals and applications
• On a multiple Stratonovich-type integral for some Gaussian processes
• Multiple fractional integral with Hurst parameter less than \(\frac {1}{2}\)
• Central limit theorems for sequences of multiple stochastic integrals
• Convergence in law to the multiple fractional integral.
• Multiple Wiener integral
• Stratonovich integral and trace
• Homogeneous Chaos, p-Forms, Scaling and the Feynman Integral
• Stochastic Calculus for Fractional Brownian Motion I. Theory