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Convergence of series of Gaussian Markov sequences

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Publication:2890729
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DOI10.1090/S0094-9000-2012-00848-XzbMath1253.65003MaRDI QIDQ2890729

Marina K. Runovska

Publication date: 11 June 2012

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)


zbMATH Keywords

almost sure convergencerandom seriesGaussian Markov sequence of random variablestheory of sums of independent random elements with operator normalizations


Mathematics Subject Classification ID

Gaussian processes (60G15) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Convergence and divergence of series and sequences (40A05) Numerical summation of series (65B10)


Related Items (3)

A refinement of conditions for the almost sure convergence of series of multidimensional regression sequences ⋮ On the convergence of the Baum-Katz series for elements of a linear autoregression ⋮ Complete moment convergence for randomly weighted sums of arrays of rowwise \(m_n\)-extended negatively dependent random variables and its applications




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