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Identifying the anisotropical function of a \(d\)-dimensional Gaussian self-similar process with stationary increments

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Publication:882911
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DOI10.1007/s11203-006-0002-5zbMath1119.60027OpenAlexW2002920447MaRDI QIDQ882911

Jacques Istas

Publication date: 24 May 2007

Published in: Statistical Inference for Stochastic Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11203-006-0002-5


zbMATH Keywords

fractional Brownian motionself-similarityanisotropy


Mathematics Subject Classification ID

Gaussian processes (60G15) Self-similar stochastic processes (60G18)


Related Items

Riesz-based orientation of localizable Gaussian fields ⋮ Log-periodogram regression of two-dimensional intrinsically stationary random fields ⋮ EXPLICIT CONSTRUCTION OF OPERATOR SCALING GAUSSIAN RANDOM FIELDS



Cites Work

  • Gaussian and their subordinates self-similar random generalized fields
  • Quadratic variations and estimation of the local Hölder index of a Gaussian process
  • Anisotropic analysis of some Gaussian models
  • Fractional Brownian sheet
  • Identification of filtered white noises
  • Cramèr-Rao bounds for fractional Brownian motions
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