Convergence of series of elements of multidimensional Gaussian Markov sequences

DOI10.1090/S0094-9000-2012-00857-0zbMath1279.60058MaRDI QIDQ2849256

Marina K. Runovska

Publication date: 17 September 2013

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

zbMATH Keywords

almost sure convergence of random seriesGaussian \(m\)-Markov sequencemultidimensional Gaussian Markov sequencesums 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 (1)

A refinement of conditions for the almost sure convergence of series of multidimensional regression sequences

Cites Work

• Asymptotic behavior of solutions of stochastic recurrence equations in \(\mathbb{R}{}^ d\)
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