IDEAS home Printed from https://ideas.repec.org/a/cup/anacsi/v13y2019i02p308-319_00.html
   My bibliography  Save this article

An identity based on the generalised negative binomial distribution with applications in ruin theory

Author

Listed:
  • Dickson, David C. M.

Abstract

In this study, we show how expressions for the probability of ultimate ruin can be obtained from the probability function of the time of ruin in a particular compound binomial risk model, and from the density of the time of ruin in a particular Sparre Andersen risk model. In each case evaluation of generalised binomial series is required, and the argument of each series has a common form. We evaluate these series by creating an identity based on the generalised negative binomial distribution. We also show how the same ideas apply to the probability function of the number of claims in a particular Sparre Andersen model.

Suggested Citation

  • Dickson, David C. M., 2019. "An identity based on the generalised negative binomial distribution with applications in ruin theory," Annals of Actuarial Science, Cambridge University Press, vol. 13(2), pages 308-319, September.
    • Handle: RePEc:cup:anacsi:v:13:y:2019:i:02:p:308-319_00
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S1748499518000295/type/journal_article
    File Function: link to article abstract page
    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:cup:anacsi:v:13:y:2019:i:02:p:308-319_00. 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/aas .

    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.