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Bayesian Procrustes analysis with applications to hydrology

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  • Athanasios Micheas
  • Yuqiang Peng

Abstract

In this paper, we introduce Procrustes analysis in a Bayesian framework, by treating the classic Procrustes regression equation from a Bayesian perspective, while modeling shapes in two dimensions. The Bayesian approach allows us to compute point estimates and credible sets for the full Procrustes fit parameters. The methods are illustrated through an application to radar data from short-term weather forecasts (nowcasts), a very important problem in hydrology and meteorology.

Suggested Citation

  • Athanasios Micheas & Yuqiang Peng, 2010. "Bayesian Procrustes analysis with applications to hydrology," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(1), pages 41-55.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:1:p:41-55
    DOI: 10.1080/02664760802653560
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    References listed on IDEAS

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    1. Athanasios Micheas & Dipak Dey, 2005. "Assessing shape differences in populations of shapes using the complex watson shape distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(2), pages 105-116.
    2. Peter J. Green & Kanti V. Mardia, 2006. "Bayesian alignment using hierarchical models, with applications in protein bioinformatics," Biometrika, Biometrika Trust, vol. 93(2), pages 235-254, June.
    3. Micheas, Athanasios C. & Dey, Dipak K., 2005. "Modeling shape distributions and inferences for assessing differences in shapes," Journal of Multivariate Analysis, Elsevier, vol. 92(2), pages 257-280, February.
    4. Xu, Ke & Wikle, Christopher K. & Fox, Neil I., 2005. "A Kernel-Based Spatio-Temporal Dynamical Model for Nowcasting Weather Radar Reflectivities," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1133-1144, December.
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    Cited by:

    1. Juan Antonio Balbuena & Raúl Míguez-Lozano & Isabel Blasco-Costa, 2013. "PACo: A Novel Procrustes Application to Cophylogenetic Analysis," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-15, April.

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