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Stationary self-similar random fields on the integer lattice.

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Publication:1879508
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DOI10.1016/S0304-4149(00)00051-XzbMath1047.60035MaRDI QIDQ1879508

Zhiyi Chi

Publication date: 22 September 2004

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


zbMATH Keywords

random wavelet expansionmultiple stochastic integralinvariance under independent scalingstationary self-similar process


Mathematics Subject Classification ID

Random fields (60G60) Self-similar stochastic processes (60G18)




Cites Work

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  • Multiple Wiener-Ito integrals. With applications to limit theorems
  • A representation for self-similar processes
  • Gaussian and their subordinates self-similar random generalized fields
  • Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion
  • Multiple integration with respect to Poisson and Lévy processes
  • Convergence of integrated processes of arbitrary Hermite rank
  • Stochastic models for generic images
  • The statistics of natural images


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