Precise tail behaviour of some Dirichlet series

DOI10.1007/s10959-024-01318-4zbMATH Open1547.60047MaRDI QIDQ6592153

O. M. Iksanov, Vitali Wachtel

Publication date: 24 August 2024

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

change of measurelocal limit theoremrandom Dirichlet seriesprecise tail behaviour

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Distribution theory (60E99)

Cites Work

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• \(C^{\infty}\) densities for weighted sums of independent random variables
• Extreme value theory for moving average processes
• A ratio limit theorem for the tails of weighted sums
• Subexponential distributions and characterizations of related classes
• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• Extreme value theory for moving average processes with light-tailed innovations
• Distribution of Σa_n/n, a_nRandomly Equal to ±1
• Asymptotic behaviour of densities of Bernoulli convolutions $ \sum\pm n^{-\alpha}$ with $ 1/2<\alpha\le 1$
• A Local Limit Theorem for Nonlattice Multi-Dimensional Distribution Functions
• Probability

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