A limit theorem for random sums modulo 1

DOI10.1016/j.spl.2010.01.005zbMath1196.60057OpenAlexW1975425000MaRDI QIDQ968456

Zbigniew S. Szewczak

Publication date: 5 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.spl.2010.01.005

zbMATH Keywords

limit theoremrandom sums modulo 1

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) General theory of distribution modulo (1) (11K06) Limit theorems in probability theory (60F99)

Related Items (2)

Classical and almost sure local limit theorems ⋮ On Kolmogorov’s converse inequality for dependent random variables

Cites Work

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• Large deviations in operator form
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• Sums of random integers reduced modulo \(m\)
• On the Asymptotic Uniform Distribution of Sums Reduced mod 1
• A LOCAL LIMIT THEOREM FOR CONTINUED FRACTIONS
• More Exact Statement of Limit Theorems for Homogeneous Markov Chains
• A Method for Obtaining Random Numbers
• A Direct Method for Producing Random Digits in any Number System

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