Diffusive limits of Lipschitz functionals of Poisson measures
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Publication:6126114
DOI10.1214/23-aap1972arXiv2107.05339MaRDI QIDQ6126114
Laurent Decreusefond, Pascal Moyal, Eustache Besançon, Laure Coutin
Publication date: 9 April 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05339
Cites Work
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- Gaussian approximation of nonlinear Hawkes processes
- Large graph limit for an SIR process in random network with heterogeneous connectivity
- Stein's method for steady-state diffusion approximations of \(\mathrm{M}/\mathrm{Ph}/n+\mathrm{M}\) systems
- Heavy traffic analysis for EDF queues with reneging
- On Stein's method for infinite-dimensional Gaussian approximation in abstract Wiener spaces
- Calcul stochastique et problèmes de martingales
- Some mathematical models from population genetics. École d'Été de Probabilités de Saint-Flour XXXIX-2009
- Stein's method for rough paths
- On the rate of convergence in the invariance principle for real-valued functions of Doeblin processes
- SIR dynamics in random networks with heterogeneous connectivity
- Stein's method for diffusion approximations
- Point processes and queues. Martingale dynamics
- Approximation of Hilbert-valued gaussians on Dirichlet structures
- Selected topics in Malliavin calculus. Chaos, divergence and so much more
- Donsker's theorem in Wasserstein-1 distance
- Stein's method for diffusive limits of queueing processes
- Stein's method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem
- Stein's method for the single server queue in heavy traffic
- A functional central limit theorem for the \(M/GI/\infty \) queue
- Some limit theorems for Hawkes processes and application to financial statistics
- On the convergence of sums of independent Banach space valued random variables
- On limit laws for service processes in multi-channel systems
- Stability of nonlinear Hawkes processes
- Stochastic Modeling and Analysis of Telecom Networks
- Stein's method for steady-state diffusion approximations: an introduction through the Erlang-A and Erlang-C models
- Multidimensional Stochastic Processes as Rough Paths
- Brownian models of open queueing networks with homogeneous customer populations∗
- A cluster process representation of a self-exciting process
- Rates of Convergence for Some Functionals in Probability
- The Malliavin-Stein method for Hawkes functionals
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