On the rate of convergence in the strong law of large numbers for arrays

DOI10.1017/S0004972700030379zbMath0739.60025OpenAlexW2050954132MaRDI QIDQ3987907

Neville C. Weber, Tien-Chung Hu

Publication date: 28 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700030379

zbMATH Keywords

rate of convergencelaw of the iterated logarithmstrong law of large numbers for arrays

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (10)

Kolmogorov type law of the logarithm for arrays ⋮ Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables ⋮ Convergence rates in the law of large numbers for long-range dependent linear processes ⋮ A law of the single logarithm for weighted sums of arrays applied to bootstrap model selection in regression ⋮ On complete convergence and strong law for weighted sums of i.i.d. random variables ⋮ Limiting behavior for arrays of row-wise upper extended negatively dependent random variables ⋮ Convergence rates in the law of logarithm of random elements ⋮ The law of logarithm for arrays of random variables under sub-linear expectations ⋮ LIMITING BEHAVIOUR FOR ARRAYS OF UPPER EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES ⋮ Strong law for linear processes

Cites Work

• Strong laws of large numbers for arrays of row-wise independent random variables
• Results on probabilities of moderate deviations
• On the Law of the Iterated Logarithm

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