A Hölderian functional central limit theorem for a multi-indexed summation process

Author:

Račkauskas Alfredas,Suquet Charles,Zemlys Vaidotas

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference24 articles.

1. A uniform central limit theorem for set-indexed partial-sum processes with finite variance;Alexander;Ann. Probab.,1986

2. Law of the iterated logarithm for set-indexed partial sum processes with finite variance;Bass;Z. Wahrsch. Verw. Gebiete,1985

3. Exponential inequalities and functional central limit theorems for random fields;Dedecker;ESAIM Probab. Stat.,2001

4. Sample functions of the Gaussian process;Dudley;Ann. Probab.,1973

5. Invariance principles for standard-normalized and self-normalized random fields;El Machkouri;Alea,2006

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