Continuity of Gaussian processes and random Fourier series
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Publication:1393894
DOI10.1214/aop/1176996804zbMath0277.60022OpenAlexW2010051699MaRDI QIDQ1393894
Publication date: 1973
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176996804
Gaussian processes (60G15) Convergence and divergence of series and sequences (40A05) Sample path properties (60G17) Generalized stochastic processes (60G20)
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A necessary and sufficient condition for probabilistic continuity on a boundaryless compact Riemannian manifold ⋮ Uniform convergence of random Fourier series ⋮ Asymptotic properties of autoregressive integrated moving average processes ⋮ Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions ⋮ A comparison theorem of Marcus-Shepp in the uniform continuity of Gaussian processes ⋮ Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes
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