IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v39y1991i1p44-59.html
   My bibliography  Save this article

A class of limit theorems for singular diffusions

Author

Listed:
  • Basak, Gopal K.

Abstract

We consider singular diffusions on k. Under a verifiable criterion for the stability in distribution of such diffusions, a broad subset of the range of the infinitesimal generator of the diffusion is identified. For functions in this set functional central limit theorems and laws of iterated logarithm are derived.

Suggested Citation

  • Basak, Gopal K., 1991. "A class of limit theorems for singular diffusions," Journal of Multivariate Analysis, Elsevier, vol. 39(1), pages 44-59, October.
    • Handle: RePEc:eee:jmvana:v:39:y:1991:i:1:p:44-59
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0047-259X(91)90004-L
    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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Heunis, Andrew J., 2003. "Strong invariance principle for singular diffusions," Stochastic Processes and their Applications, Elsevier, vol. 104(1), pages 57-80, March.
    2. Gopal Basak & Mrinal Ghosh & Diganta Mukherjee, 2011. "Influence of Big Traders on the Stock Market: Theory and Simulation," Dynamic Games and Applications, Springer, vol. 1(2), pages 220-252, June.
    3. Basak, Gopal K. & Hu, Inchi & Wei, Ching-Zong, 1997. "Weak convergence of recursions," Stochastic Processes and their Applications, Elsevier, vol. 68(1), pages 65-82, May.

    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:jmvana:v:39:y:1991:i:1:p:44-59. 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/622892/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.