IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v45y2016i10p2857-2872.html
   My bibliography  Save this article

The Poisson-conjugate Lindley mixture distribution

Author

Listed:
  • E. Gómez-Déniz
  • E. Calderín-Ojeda

Abstract

A new discrete distribution that depends on two parameters is introduced in this article. From this new distribution the geometric distribution is obtained as a special case. After analyzing some of its properties such as moments and unimodality, recurrences for the probability mass function and differential equations for its probability generating function are derived. In addition to this, parameters are estimated by maximum likelihood estimation numerically maximizing the log-likelihood function. Expected frequencies are calculated for different sets of data to prove the versatility of this discrete model.

Suggested Citation

  • E. Gómez-Déniz & E. Calderín-Ojeda, 2016. "The Poisson-conjugate Lindley mixture distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(10), pages 2857-2872, May.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:10:p:2857-2872
    DOI: 10.1080/03610926.2014.892134
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2014.892134
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2014.892134?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:lstaxx:v:45:y:2016:i:10:p:2857-2872. 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/lsta .

    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.