IDEAS home Printed from
   My bibliography  Save this paper

A Bayesian model for longitudinal circular data


  • Núñez-Antonio, Gabriel
  • Gutiérrez-Peña, Eduardo


The analysis of short longitudinal series of circular data may be problematic and to some extent has not been completely developed. In this paper we present a Bayesian analysis of a model for such data. The model is based on a radial projection onto the circle of a particular bivariate normal distribution. Inferences about the parameters of the model are based on samples from the corresponding joint posterior density which are obtained using a Metropolis-within-Gibbs scheme after the introduction of suitable latent variables. The procedure is illustrated both using a simulated data set and a realdata set previously analyzed in the literature.

Suggested Citation

  • Núñez-Antonio, Gabriel & Gutiérrez-Peña, Eduardo, 2011. "A Bayesian model for longitudinal circular data," DES - Working Papers. Statistics and Econometrics. WS ws112720, Universidad Carlos III de Madrid. Departamento de Estadística.
  • Handle: RePEc:cte:wsrepe:ws112720

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. Rinaldo Artes, 2000. "Longitudinal Data Estimating Equations for Dispersion Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 321-334.
    2. Gabriel Nunez-Antonio & Eduardo Gutierrez-Pena, 2005. "A Bayesian analysis of directional data using the projected normal distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(10), pages 995-1001.
    Full references (including those not matched with items on IDEAS)

    More about this item


    Circular data;

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    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:cte:wsrepe:ws112720. 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: (Ana Poveda). 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.