Precise rates in log laws for NA sequences

DOI10.1155/2007/89107zbMath1180.60021OpenAlexW1984578215MaRDI QIDQ2478369

Yuexu Zhao

Publication date: 28 March 2008

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116977

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Cites Work

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• A note on the almost sure convergence of sums of negatively dependent random variables
• Complete convergence for weighted sums of negatively associated random variables
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• The law of iterated logarithm for negatively associated random variables
• Precise rates in the law of the logarithm in the Hilbert space
• Complete convergence for weighted sums of NA sequences
• Negative association of random variables, with applications
• A supplement to the strong law of large numbers
• Some One-Sided Theorems on the Tail Distribution of Sample Sums with Applications to the Last Time and Largest Excess of Boundary Crossings
• The weak convergence for functions of negatively associated random variables

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