On the rates of the other law of the logarithm

2006/10/17 by Li-Xin Zhang, Zhang, Li-Xin
Mathematics · #60F15 #60G50 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60F15 #msc:60G50

paper · pdf · doi:10.48550/arxiv.math/0610521

arxiv created 2006/10/17 · arxiv updated 2009/12/01

Abstract

By using the strong approximation, this paper establishes several limit results on the convergent rate of a infinite series of probabilities on the other law of iterated logarithm.

Related

• Precise rates in the law of the iterated logarithm
• Convergence rates in the law of large numbers and new kinds of convergence of random variables
• Strong Approximations for Nonconventional Sums with Applications to Law of Iterated Logarithm and Almost Sure Central Limit Theorem
• Law of iterated logarithm for NA sequences with non-identical distributions
• Concentration inequalities for strong laws and laws of the iterated logarithm