A note on the Chover-type law of the iterated logarithm for the weighted partial sums of \(\alpha\)-mixing sequences

DOI10.1016/j.spl.2015.08.013zbMath1329.60063OpenAlexW1143291211MaRDI QIDQ900940

Xue-yan Pan, Guang-Hui Cai

Publication date: 23 December 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.08.013

zbMATH Keywords

Chover-type law of iterated logarithm\(\alpha\)-mixing sequencesweighted partial sums

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items

The chover-type law of iterated logarithm for the weighted sums of negatively superadditive dependent random variables

Cites Work

• Chover-type laws of the \(k\)-iterated logarithm for weighted sums of strongly mixing sequences
• Generalized LIL for geometrically weighted random series in Banach spaces
• A general strong approximation theorem for dependent \(\mathbb R^d\)-valued random vectors
• Precise rates in the law of logarithm for the moment convergence of i.i.d. random variables
• Chover-type laws of the \(k\)-iterated logarithm for \(\tilde {\rho }\)-mixing sequences of random variables
• Chover-type laws of the iterated logarithm for continuous time random walks
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• Laws of the iterated logarithm of chover-type for operator stable Lévy processes
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• A strong invariance principle for negatively associated random fields
• Strong order of convergence of a fully discrete approximation of a linear stochastic Volterra type evolution equation
• A Law of the Iterated Logarithm for Stable Summands
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