The invariance principle for Banach space valued random variables

DOI10.1016/0047-259X(73)90020-1zbMath0258.60009OpenAlexW2002432995MaRDI QIDQ2559861

James Kuelbs

Publication date: 1973

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(73)90020-1

Mathematics Subject Classification ID

Gaussian processes (60G15) Convergence of probability measures (60B10)

Related Items (20)

Spatial structure in low dimensions for diffusion limited two-particle reactions ⋮ Weak convergence to a Markov process: The martingale approach ⋮ On the asymptotic behaviour of linear learning processes with partial forgetting ⋮ Some properties of a linear combination CUSUM statistic for controlling a multivariate mean vector ⋮ Vertically Weighted Averages in Hilbert Spaces and Applications to Imaging: Fixed-Sample Asymptotics and Efficient Sequential Two-Stage Estimation ⋮ Frequency domain theory for functional time series: variance decomposition and an invariance principle ⋮ Functional data analysis with increasing number of projections ⋮ On limit theorems for Banach-space-valued linear processes ⋮ Functional data analysis in the Banach space of continuous functions ⋮ The averaged Robbins-Monro method for linear problems in a Banach space ⋮ An almost sure invariance principle for stationary ergodic sequences of Banach space valued random variables ⋮ Unnamed Item ⋮ Singularly perturbed Markov chains: limit results and applications ⋮ An invariance principle for the Robbins-Monro process in a Hilbert space ⋮ An almost sure invariance principle for triangular arrays of banach space valued random variables ⋮ Martingales and the Robbins-Monro procedure in \(D[0,1\)] ⋮ An invariance principle for lattices of dependent random variables ⋮ Hölderian invariance principle for Hilbertian linear processes ⋮ The conditional central limit theorem in Hilbert spaces. ⋮ A nonstandard construction of Lévy Brownian motion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Potential theory on Hilbert space
• Lectures in modern analysis and applications. II
• The Invariance Principle for a Lattice of Random Variables
• Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters

This page was built for publication: The invariance principle for Banach space valued random variables