Convergence rates in the SLLN for some classes of dependent random fields
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Publication:536260
DOI10.1016/j.jmaa.2011.03.042zbMath1218.60024OpenAlexW1980055717MaRDI QIDQ536260
Zbigniew A. Lagodowski, Anna Kuczmaszewska
Publication date: 16 May 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.042
complete convergenceBaum-Katz theorem\(\rho ^*\)-mixing random fieldsMartingale random fieldsnegatively associated random fields
Related Items (17)
Deviation inequalities for Banach space valued martingales differences sequences and random fields ⋮ Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space ⋮ On the complete convergence for sequences of random vectors in Hilbert spaces ⋮ On Complete Convergence for Weighted Sums of NA Random Fields ⋮ On the convergence rates in the asymmetric SLLN for independent and nonidentically distributed random fields ⋮ An exponential inequality for orthomartingale difference random fields and some applications ⋮ Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space ⋮ Maximal inequalities and convergence results on multidimensionally indexed demimartingales ⋮ Baum-Katz's type theorems for pairwise independent random elements in certain metric spaces ⋮ On Rio's proof of limit theorems for dependent random fields ⋮ Convergence rates in precise asymptotics for a kind of complete moment convergence ⋮ On complete convergence for weighted sums of asymptotically linear negatively dependent random field ⋮ Complete convergence for weighted sums of \(\rho^*\)-mixing random fields ⋮ Complete convergence and strong laws of large numbers for weighted sums of negatively orthant dependent random variables ⋮ On complete convergence for weighted sums of martingale-difference random fields ⋮ An approach to complete convergence theorems for dependent random fields via application of Fuk-Nagaev inequality ⋮ On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables
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