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Uniform bound for asymptotic normality of discounted \(m\)-dependent random variables using Heinrich's method

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Publication:847912
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DOI10.1007/s10986-009-9058-4zbMath1184.60007OpenAlexW2149764149MaRDI QIDQ847912

Jonas Kazys Sunklodas

Publication date: 19 February 2010

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-009-9058-4


zbMATH Keywords

\(m\)-dependent random variablesdiscounted central limit theoremHeinrich's method


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)




Cites Work

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  • Large deviations for sums of independent weighted random variables
  • On normal approximation of discounted and strongly mixing random variables
  • On the discounted global CLT for some weakly dependent random variables
  • Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
  • A method for the derivation of limit theorems for sums of m-dependent random variables
  • The Discounted Central Limit Theorem and its Berry-Esseen Analogue


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