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Distance in the metric of \(L_ 1 \)of the distribution of a sum of weakly dependent random variables from the normal distribution function

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Publication:1054075
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DOI10.1007/BF00969619zbMath0518.60053MaRDI QIDQ1054075

Jonas Kazys Sunklodas

Publication date: 1982

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


zbMATH Keywords

Stein's methoddependent random variablesmixing coefficients


Mathematics Subject Classification ID

(L^p)-limit theorems (60F25)


Related Items

On \(L_{1}\) bounds for asymptotic normality of some weakly dependent random variables, On the discounted global CLT for some weakly dependent random variables



Cites Work

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  • On an L\(_p\) version of the Berry-Esseen theorem for independent and m- dependent variables
  • \(L_1\) bounds for asymptotic normality of m-dependent sums using Stein's technique
  • An \(L_p\) bound for the remainder in a combinatorial central limit theorem
  • The central limit theorem for dependent random variables
  • The central limit problem for mixing sequences of random variables
  • On the strong law of large numbers for a class of stochastic processes
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