A strong invariance principle for associated random fields
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Publication:1775452
DOI10.1214/009117904000001071zbMath1070.60032arXivmath/0503661OpenAlexW2042077508MaRDI QIDQ1775452
Publication date: 3 May 2005
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0503661
Random fields (60G60) Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)
Related Items (6)
A nonclassical law of the iterated logarithm for functions of positively associated random variables ⋮ Strong approximation for sums of asymptotically negatively dependent Gaussian sequences with applications ⋮ Properties of the parabolic Anderson model and the Anderson polymer model ⋮ A strong invariance principle for negatively associated random fields ⋮ Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities ⋮ A strong invariance principle for positively or negatively associated random fields
Cites Work
- Unnamed Item
- Unnamed Item
- A strong invariance principle for associated sequences
- Central limit theorems for associated random variables and the percolation model
- A functional law of the iterated logarithm for associated sequences
- An invariance principle for weakly associated random vectors
- The invariance principle for associated processes
- Moment bounds for associated sequences
- An invariance principle for associated random fields
- On the convergence rate in the central limit theorem for associated processes
- A Berry-Esséen theorem and a functional law of the iterated logarithm for weakly associated random vectors
- Normal fluctuations and the FKG inequalities
- An invariance principle for certain dependent sequences
- Approximation theorems for independent and weakly dependent random vectors
- Invariance principle for associated random fields
- The invariance principle for associated random fields
- Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
- Strong invariance principles for mixing random fields
- Associated random variables and martingale inequalities
- Almost sure invariance principles for partial sums of weakly dependent random variables
- A new method to prove strassen type laws of invariance principle. 1
- Association of Random Variables, with Applications
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