Large deviations for scaled sums of \(p\)-adic-valued rotation-symmetric independent and identically distributed random variables

DOI10.1007/s10959-019-00894-0zbMath1445.60009OpenAlexW2937051818WikidataQ128206716 ScholiaQ128206716MaRDI QIDQ2181631

Kumi Yasuda

Publication date: 19 May 2020

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

Full work available at URL: https://doi.org/10.1007/s10959-019-00894-0

zbMATH Keywords

limit theoremlarge deviationsasymptotic order\(p\)-adic fieldI.I.Dscaled sum of independent and identically distributed

Mathematics Subject Classification ID

Large deviations (60F10) Convergence of probability measures (60B10)

Cites Work

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• Multidimensional and abstract probability
• Estimates of convergence rates to stable distributions on \(\mathbb{Q}_p\)
• Limit theorems for sums of \(p\)-adic random variables
• \(p\)-adic analogues of the law of large numbers and the central limit theorem
• On infiniteley divisible distributions on locally compact Abelian groups
• On the asymptotic growth rate of the sum of \(p\)-adic-valued independent identically distributed random variables
• The $ p$-adic law of large numbers
• Limit behaviour of sums of independent random variables with respect to the uniform \(p\)-adic distribution

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