Sufficient conditions for the continuity of stationary Gaussian processes and applications to random series of functions
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Publication:5917375
DOI10.5802/aif.508zbMath0283.60041OpenAlexW2327829093MaRDI QIDQ5917375
Naresh C. Jain, Michael B. Marcus
Publication date: 1974
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1974__24_2_117_0
Related Items (13)
On Random Fourier Series ⋮ Unnamed Item ⋮ Sub-Gaussian processes and convergence of random series in functional spaces ⋮ Regularity of sampling distribution functions of a random process ⋮ Combinatorial inequalities and smoothness of functions ⋮ Sub-Gaussian random variables ⋮ Central limit theorems for C(S)-valued random variables ⋮ Continuity and the central limit theorem for random trigonometric series ⋮ Multivariate empirical characteristic functions ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4176200 Continuit� et th�or�me central limite pour les transform�es de Fourier des mesures al�atoires du second ordre] ⋮ Estimates on the distribution of the supremum of a stationary Gaussian process ⋮ Integrability of Infinite Sums of Independent Vector-Valued Random Variables ⋮ Thin sets of integers in harmonic analysis and \(p\)-stable random Fourier series
Cites Work
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- Continuity of Gaussian processes and random Fourier series
- The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
- Sample functions of the Gaussian process
- A comparison of continuity conditions for Gaussian processes
- Continuity of Gaussian Processes
- A Note on Uniform Convergence of Stochastic Processes
- Inequalities Involving a Function and Its Inverse
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