IDEAS home Printed from
   My bibliography  Save this article

Estimating the parameters of a Poisson process model for predator–prey interactions


  • Froda, Sorana
  • Ferland, René


In this paper, we propose a flexible model for cyclic abundance data, that takes into account predator–prey interactions. The idea is to incorporate a predator–prey dynamical model into a non homogeneous Poisson process of periodic intensity rate. Further, we devise an easy to implement estimation method and derive asymptotic confidence intervals. Finally, a simulation study indicates that the method performs well for small samples which are typical in ecology.

Suggested Citation

  • Froda, Sorana & Ferland, René, 2012. "Estimating the parameters of a Poisson process model for predator–prey interactions," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2252-2259.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:12:p:2252-2259
    DOI: 10.1016/j.spl.2012.07.017

    Download full text from publisher

    File URL:
    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.

    References listed on IDEAS

    1. Helmers, Roelof & Wayan Mangku, I. & Zitikis, Ricardas, 2003. "Consistent estimation of the intensity function of a cyclic Poisson process," Journal of Multivariate Analysis, Elsevier, vol. 84(1), pages 19-39, January.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. Froda, Sorana & Vanciu, Vasile, 2013. "A bivariate non-homogeneous birth and death model for predator–prey interactions," Statistics & Probability Letters, Elsevier, vol. 83(11), pages 2526-2530.


    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:stapro:v:82:y:2012:i:12:p:2252-2259. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.