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On the closeness of the distribution of two sums of independent random variables with values in Hilbert space

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Publication:1238554
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DOI10.1007/BF00969261zbMath0359.60059MaRDI QIDQ1238554

Vygantas Paulauskas

Publication date: 1976

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



Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Sums of independent random variables; random walks (60G50)


Related Items

On the rate of convergence to bivariate stable laws ⋮ On distribution of the norm for normal random elements in the space of continuous functions ⋮ Rates of convergence in the CLT for linear random fields



Cites Work

  • Berry-Esseen estimates in Hilbert space and an application to the law of the iterated logarithm
  • Domains of attraction of stable measures on a Hilbert space
  • Uniformity in weak convergence
  • On stable distributions in Hilbert space
  • A representation theorem for symmetric stable processes and stable measures on H
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