Bad rates of convergence for the central limit theorem in Hilbert space
From MaRDI portal
Publication:5896401
DOI10.1214/aop/1176993232zbMath0545.60014OpenAlexW2034161158MaRDI QIDQ5896401
Michel Talagrand, WanSoo T. Rhee
Publication date: 1984
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176993232
Geometry and structure of normed linear spaces (46B20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items
On smoothness conditions and convergence rates in the CLT in Banach spaces ⋮ Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey ⋮ Asymptotic expansions for moments in the central limit theorem in Banach spaces ⋮ Remark on the distribution of the norm of a Gaussian vector in the Banach space \(c_ 0\) ⋮ Lower bounds for the rate of convergence in the central limit theorem in Banach spaces ⋮ A remark on the speed of convergence in the central limit theorem in Banach spaces ⋮ Gaussian measures on linear spaces ⋮ On probabilities of large deviations in Banach spaces ⋮ Slow convergence of sequences of linear operators. II: Arbitrarily slow convergence ⋮ Uniform convexity and the distribution of the norm for a Gaussian measure ⋮ A note on the rate of convergence in the CLT for empirical processes