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Bayesian size-and-shape regression modelling

Author

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  • Di Noia, Antonio
  • Mastrantonio, Gianluca
  • Jona Lasinio, Giovanna

Abstract

Building on Dryden et al. (2021), this note presents the Bayesian estimation of a regression model for size-and-shape response variables with Gaussian landmarks. Our proposal fits into the framework of Bayesian latent variable models and, potentially, allows for a highly flexible modelling framework.

Suggested Citation

  • Di Noia, Antonio & Mastrantonio, Gianluca & Jona Lasinio, Giovanna, 2024. "Bayesian size-and-shape regression modelling," Statistics & Probability Letters, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:stapro:v:204:y:2024:i:c:s0167715223001529
    DOI: 10.1016/j.spl.2023.109928
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    References listed on IDEAS

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    1. Ian L. Dryden & Alfred Kume & Phillip J. Paine & Andrew T. A. Wood, 2021. "Regression Modeling for Size-and-Shape Data Based on a Gaussian Model for Landmarks," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 116(534), pages 1011-1022, April.
    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. Kim Kenobi & Ian L. Dryden & Huiling Le, 2010. "Shape curves and geodesic modelling," Biometrika, Biometrika Trust, vol. 97(3), pages 567-584.
    4. Ian L. Dryden & Kwang-Rae Kim & Huiling Le, 2019. "Bayesian Linear Size-and-Shape Regression with Applications to Face Data," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 81(1), pages 83-103, February.
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    Cited by:

    1. Roman A. Zhukov & Svetlana V. Prokopchina & Maria A. Plinskaya & Maria A. Zhelunitsina, 2024. "Modeling of Functional Relationships of Regional Economic Systems Based on Small Samples Based on Bayesian Intelligent Measurements," Journal of Applied Economic Research, Graduate School of Economics and Management, Ural Federal University, vol. 23(3), pages 721-750.

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