Analysis of Circular Longitudinal Data Based on Generalized Estimating Equations |
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| Authors: | Rinaldo Artes,Gilberto A. Paula,& Ronald Ranvaud |
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| Affiliation: | Instituto de Matemática e Estatística da Universidade de São Paulo, São Paulo, Brazil,;Instituto de Ciências Biomédicas da Universidade de São Paulo, São Paulo, Brazil |
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| Abstract: | This paper derives estimating equations for modelling circular data with longitudinal structure for a family of circular distributions with two parameters. Estimating equations for modelling the circular mean and the resultant length are given separately. Estimating equations are then derived for a mixed model. This paper shows that the estimators that follow from these equations are consistent and asymptotically normal. The results are illustrated by an example about the direction taken by homing pigeons. |
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| Keywords: | angular data dispersion models estimating functions homing pigeons navigation quasi-likelihood methods von Mises model. |
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