[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v52y1994i1p65-74.html
   My bibliography  Save this article

A limit theorem for random matrices with a multiparameter and its application to a stochastic model of a large economy

Author

Listed:
  • Evstigneev, Igor V.
  • Schürger, Klaus
Abstract
Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (1988) we derive an almost sure limit theorem for families of random matrices with a multiparameter which satisfy a supermultiplicativity condition. This gives a multiparameter analogue of results of Fürstenberg and Kesten (1960) and Kingman (1973, 1976) (note, however, that our supermultiplicativity assumption is more restrictive since it involves products in an arbitrary order). It turns out that a Borel-Cantelli argument in Kingman (1973, 1976) has to be replaced by a projection argument involving subadditive processes with lower dimensional indices. Finally, we outline how our main convergence result applies to a certain stochastic model of a large economy.

Suggested Citation

  • Evstigneev, Igor V. & Schürger, Klaus, 1994. "A limit theorem for random matrices with a multiparameter and its application to a stochastic model of a large economy," Stochastic Processes and their Applications, Elsevier, vol. 52(1), pages 65-74, August.
    • Handle: RePEc:eee:spapps:v:52:y:1994:i:1:p:65-74
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(94)90100-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:spapps:v:52:y:1994:i:1:p:65-74. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.