A Hölderian functional central limit theorem for a multi-indexed summation process
DOI10.1016/j.spa.2006.12.006zbMath1124.60032OpenAlexW2063238908MaRDI QIDQ2372470
Charles Suquet, Vaidotas Zemlys, Alfredas Račkauskas
Publication date: 27 July 2007
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2006.12.006
functional central limit theoremHilbert spaceBrownian sheetinvariance principleHilbert space valued Brownian sheetsummation process Hölder space
Functional limit theorems; invariance principles (60F17) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Testing epidemic changes of infinite dimensional parameters
- Functional central limit theorem for double-indexed summation process
- Sur une inégalité de H. P. Rosenthal et le théorème limite central dans les espaces de Banach
- A uniform central limit theorem for set-indexed partial-sum processes with finite variance
- Lipschitz smoothness and convergence with applications to the central limit theorem for summation processes
- Functional central limit theorems for triangular arrays of function-indexed processes under uniformly integrable entropy conditions
- Necessary and sufficient condition for the functional central limit theorem in Hölder spaces
- Hölder norm test statistics for epidemic change
- Weak convergence and empirical processes. With applications to statistics
- Sample functions of the Gaussian process
- Law of the iterated logarithm for set-indexed partial sum processes with finite variance
- Exponential inequalities and functional central limit theorems for random fields
- The Invariance Principle for a Lattice of Random Variables
- Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
- Central Limit Theorems in Hölder Topologies for Banach Space Valued Random Fields
- On Convergence of Stochastic Processes
This page was built for publication: A Hölderian functional central limit theorem for a multi-indexed summation process