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Agent based reasoning for the non-linear stochastic models of long-range memory

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  • Kononovicius, A.
  • Gontis, V.

Abstract

We extend Kirman’s model by introducing variable event time scale. The proposed flexible time scale is equivalent to the variable trading activity observed in financial markets. Stochastic version of the extended Kirman’s agent based model is compared to the non-linear stochastic models of long-range memory in financial markets. The agent based model providing matching macroscopic description serves as a microscopic reasoning of the earlier proposed stochastic model exhibiting power law statistics.

Suggested Citation

  • Kononovicius, A. & Gontis, V., 2012. "Agent based reasoning for the non-linear stochastic models of long-range memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1309-1314.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:4:p:1309-1314
    DOI: 10.1016/j.physa.2011.08.061
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    References listed on IDEAS

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    5. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
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