A Bayesian model for longitudinal circular data based on the projected normal distribution Articles uri icon

authors

  • NUÑEZ ANTONIO, GABRIEL
  • GUTIERREZ PENA, EDUARDO

publication date

  • March 2014

start page

  • 506

end page

  • 519

volume

  • 71

International Standard Serial Number (ISSN)

  • 0167-9473

Electronic International Standard Serial Number (EISSN)

  • 1872-7352

abstract

  • The analysis of short longitudinal series of circular data may be problematic and to some extent has not been fully developed. A Bayesian analysis of a new model for such data is presented. The model is based on a radial projection onto the circle of a particular bivariate normal distribution. Inference about the parameters of the model is 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 using both simulated data sets and a real data set previously analyzed in the literature. (C) 2012 Elsevier B.V. All rights reserved.