On the Behavior of the Variances of Sums of Random Variables Forming a Stationary Process

DOI10.1137/1116051zbMath0255.60025OpenAlexW2081928818MaRDI QIDQ5670023

Mikhaĭl Iosifovich Gordin

Publication date: 1971

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1116051

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (8)

On the dissipation of partial sums from a stationary strongly mixing sequence ⋮ A ``multiplicative coboundary theorem for some sequences of random matrices ⋮ On Marcinkiewicz-Zygmund laws ⋮ On Dobrushin's inequality ⋮ Estimate of the remainder term in the limit theorem for denominators of continued fractions ⋮ Some remarks on a probability limit theorem for continued fractions ⋮ Martingale-coboundary representation for a class of random fields ⋮ A criterion of vanishing of the spectral density based on homoclinic sums

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