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Properties and distribution of the dynamical functional for the fractional Gaussian noise

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Publication:2009542
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DOI10.1016/j.amc.2019.03.038zbMath1428.60055OpenAlexW2928451723WikidataQ128142262 ScholiaQ128142262MaRDI QIDQ2009542

Hanna Loch-Olszewska

Publication date: 29 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.03.038

zbMATH Keywords

stochastic processesergodicityfractional Gaussian noiseergodicity breakingdynamical functional


Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Ergodicity, mixing, rates of mixing (37A25) Approximations to statistical distributions (nonasymptotic) (62E17)


Related Items

Duality of fractional systems


Uses Software

  • longmemo


Cites Work

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  • Basic properties of strong mixing conditions. A survey and some open questions
  • Fractional Brownian motions: memory, diffusion velocity, and correlation functions
  • And did he search for you, and could not find you?
  • Subadditive mean ergodic theorems
  • Arbitrage with Fractional Brownian Motion
  • Fractional Brownian Motions, Fractional Noises and Applications
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