On the rates of the other law of the logarithm

DOI10.1007/s10114-011-0082-zzbMath1334.60043arXivmath/0610521OpenAlexW2167476440MaRDI QIDQ270303

You-You Chen, Zhang, Lixin

Publication date: 7 April 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610521

zbMATH Keywords

complete convergencestrong approximationtail probabilities of sums of i.i.d. random variablesthe other law of the logarithm

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

• Limit theorems for delayed sums
• A remark on the tail probability of a distribution
• The Darling-Erdős theorem for sums of i.i.d. random variables
• Precise asymptotics in Spitzer's law of large numbers
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Precise asymptotics in the law of the iterated logarithm.
• The law of the iterated logarithm for identically distributed random variables
• A supplement to the strong law of large numbers
• Small Deviations in a Space of Trajectories
• Some One-Sided Theorems on the Tail Distribution of Sample Sums with Applications to the Last Time and Largest Excess of Boundary Crossings
• Convergence Rates in the Law of Large Numbers
• On the concentration function of a sum of independent random variables
• First Passage times and Sojourn Times for Brownian Motion in Space and the Exact Hausdorff Measure of the Sample Path
• Complete Convergence and the Law of Large Numbers
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