Functional Gaussian approximations on Hilbert-Poisson spaces

zbMath1543.6004MaRDI QIDQ6564544

Solesne Bourguin, Simon Campese, Thanh Ha Dang

Publication date: 1 July 2024

Published in: ALEA. Latin American Journal of Probability and Mathematical Statistics (Search for Journal in Brave)

zbMATH Keywords

functional limit theoremsPoisson spaceGaussian approximationsGaussian measures on Hilbert spacesfourth moment conditionsStein's method on Banach spaces

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Functional limit theorems; invariance principles (60F17) Measures and integration on abstract linear spaces (46G12) Applications of functional analysis in probability theory and statistics (46N30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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