IDEAS home Printed from https://ideas.repec.org/p/arx/papers/0903.1629.html
   My bibliography  Save this paper

Spectral densities of Wishart-Levy free stable random matrices: Analytical results and Monte Carlo validation

Author

Listed:
  • Mauro Politi
  • Enrico Scalas
  • Daniel Fulger
  • Guido Germano

Abstract

Random matrix theory is used to assess the significance of weak correlations and is well established for Gaussian statistics. However, many complex systems, with stock markets as a prominent example, exhibit statistics with power-law tails, that can be modelled with Levy stable distributions. We review comprehensively the derivation of an analytical expression for the spectra of covariance matrices approximated by free Levy stable random variables and validate it by Monte Carlo simulation.

Suggested Citation

  • Mauro Politi & Enrico Scalas & Daniel Fulger & Guido Germano, 2009. "Spectral densities of Wishart-Levy free stable random matrices: Analytical results and Monte Carlo validation," Papers 0903.1629, arXiv.org.
    • Handle: RePEc:arx:papers:0903.1629
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/0903.1629
    File Function: Latest version
    Download Restriction: no
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:0903.1629. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.