Convergence rates for probabilities of moderate deviation for sums of random variables indexed by \(Z_ +^ d\)

DOI10.1007/BF01874528zbMath0822.60023OpenAlexW2009206180MaRDI QIDQ1804730

Dianliang Deng

Publication date: 5 October 1995

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01874528

zbMATH Keywords

convergence rateslaw of the iterated logarithmmoderate deviationmultidimensional indices

Mathematics Subject Classification ID

Large deviations (60F10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Limit theorems in probability theory (60F99)

Related Items (2)

On convergence rate in the SLLN for maximums of moving-average sums of ALNQD random fields ⋮ Exact asymptotics in log log laws for random fields

Cites Work

• Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices
• On moments of the supremum of normed partial sums of random variables indexed by \(N^ k\)
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Convergence Rates for the Law of the Iterated Logarithm
• Convergence Rates for Probabilities of Moderate Deviations
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