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Asymptotic behaviour of Gaussian processes with integral representation.

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Publication:1877537
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DOI10.1016/S0304-4149(00)00023-5zbMath1045.60034MaRDI QIDQ1877537

Olivier Garet

Publication date: 7 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)


zbMATH Keywords

oscillationsspectral densityGaussian fieldslimit values


Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15)


Related Items (1)

Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion



Cites Work

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  • Asymptotic maxima of continuous Gaussian processes
  • On the upper and lower classes for a stationary Gaussian stochastic process
  • On the asymptotic behaviour of stationary Gaussian processes
  • On the Continuity of Brownian Motion with a Multidimensional Parameter
  • The τ-régularity of Gaussian measures
  • A Law of Iterated Logarithm for Stationary Gaussian Processes
  • Maxima of stationary Gaussian processes
  • Upper Bounds for the Asymptotic Maxima of Continuous Gaussian Processes
  • Limit Theorems for the Maximum Term in Stationary Sequences


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