IDEAS home Printed from https://ideas.repec.org/a/taf/sactxx/v2013y2013i3p186-212.html
   My bibliography  Save this article

Ruin time and aggregate claim amount up to ruin time for the perturbed risk process

Author

Listed:
  • Landy Rabehasaina
  • Cary Chi-Liang Tsai

Abstract

We consider the classical Sparre-Andersen risk process perturbed by a Wiener process, and study the joint distribution of the ruin time and the aggregate claim amounts until ruin by determining its Laplace transform. This is first done when the claim amounts follow respectively an exponential/Phase-type distribution, in which case we also compute the distribution of recovery time and study the case of a barrier dividend. Then the general distribution is considered when ruin occurs by oscillation, in which case a renewal equation is derived.

Suggested Citation

  • Landy Rabehasaina & Cary Chi-Liang Tsai, 2013. "Ruin time and aggregate claim amount up to ruin time for the perturbed risk process," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2013(3), pages 186-212.
    • Handle: RePEc:taf:sactxx:v:2013:y:2013:i:3:p:186-212
    DOI: 10.1080/03461238.2011.592262
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03461238.2011.592262
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03461238.2011.592262?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    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:taf:sactxx:v:2013:y:2013:i:3:p:186-212. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/sact .

    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.