On the upper and lower classes for a stationary Gaussian stochastic process

DOI10.1214/aop/1176988848zbMath0803.60028OpenAlexW2010484572MaRDI QIDQ1323282

J. M. P. Albin

Publication date: 3 January 1995

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988848

zbMATH Keywords

entropyBrownian sheetGaussian random fieldsupper and lower classespseudometric unbounded spaces

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Stationary stochastic processes (60G10) Strong limit theorems (60F15) Sample path properties (60G17) Zero-one laws (60F20)

Related Items (5)

Asymptotic behaviour of Gaussian processes with integral representation. ⋮ Upper and lower classes for \(\mathbb{L}^ 2\)- and \(\mathbb{L}^ p\)-norms of Brownian motion and norms of \(\alpha\)-stable motion ⋮ Burgers' system with a fractional Brownian random force ⋮ Minima of \(H\)-valued Gaussian processes ⋮ Extremes of totally skewed \(\alpha \)-stable processes

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