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A Bayesian model for longitudinal circular data

Gabriel Núñez-Antonio and Eduardo Gutiérrez-Peña

DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de Estadística

Abstract: 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.

Keywords: Circular; data; Longitudinal; data; Gibbs; sampler; Latent; variables; Mixed-effects; linear; models; Projected; normal; distribution (search for similar items in EconPapers)
Date: 2011-09
New Economics Papers: this item is included in nep-ecm
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