The central limit theorem for stochastic integrals with respect to Levy processes
From MaRDI portal
Publication:1836214
DOI10.1214/aop/1176993660zbMath0504.60011OpenAlexW2083249311MaRDI QIDQ1836214
Michael B. Marcus, Evarist Giné M.
Publication date: 1983
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176993660
functional central limit theoremsmaximal inequalitiesdomains of attractionstable measureindependently scattered random measure
Stochastic integrals (60H05) Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items (13)
Stochastic evolution equations driven by cylindrical stable noise ⋮ On maximal inequalities for stable stochastic integrals ⋮ Asymptotic behaviour on the linear self-interacting diffusion driven by α-stable motion ⋮ A stochastic Fubini theorem for \(\alpha\)-stable process ⋮ The least squares estimation for the \(\alpha\)-stable Ornstein-Uhlenbeck process with constant drift ⋮ Central limit theorem for stochastically continuous processes. Convergence to stable limit ⋮ Maximal inequalities and some applications ⋮ Parameter estimation for integrated Ornstein-Uhlenbeck processes with small Lévy noises ⋮ SPDEs with \(\alpha\)-stable Lévy noise: a random field approach ⋮ Minimum distance parameter estimation for SDEs with small \(\alpha\)-stable noises ⋮ A central limit theorem for D(A)-valued processes ⋮ Asymptotic behavior for high moments of the fractional heat equation with fractional noise ⋮ Approximation and Stability of Solutions of SDEs Driven by a Symmetric α Stable Process with Non-Lipschitz Coefficients
This page was built for publication: The central limit theorem for stochastic integrals with respect to Levy processes