Bayesian Linear Size-and-Shape Regression with Applications to Face Data
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DOI: 10.1007/s13171-018-0136-8
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- Michael Rosenthal & Wei Wu & Eric Klassen & Anuj Srivastava, 2014. "Spherical Regression Models Using Projective Linear Transformations," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(508), pages 1615-1624, December.
- Alfred Kume & Ian L. Dryden & Huiling Le, 2007. "Shape-space smoothing splines for planar landmark data," Biometrika, Biometrika Trust, vol. 94(3), pages 513-528.
- Sungkyu Jung & Ian L. Dryden & J. S. Marron, 2012. "Analysis of principal nested spheres," Biometrika, Biometrika Trust, vol. 99(3), pages 551-568.
- Emil Cornea & Hongtu Zhu & Peter Kim & Joseph G. Ibrahim, 2017. "Regression models on Riemannian symmetric spaces," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(2), pages 463-482, March.
- T. Hotz & S. Huckemann & A. Munk & D. Gaffrey & B. Sloboda, 2010. "Shape spaces for prealigned star‐shaped objects—studying the growth of plants by principal components analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(1), pages 127-143, January.
- Paolo Piras & Antonietta Evangelista & Stefano Gabriele & Paola Nardinocchi & Luciano Teresi & Concetta Torromeo & Michele Schiariti & Valerio Varano & Paolo Emilio Puddu, 2014. "4D-Analysis of Left Ventricular Heart Cycle Using Procrustes Motion Analysis," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-17, January.
- 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.
- Yuhong Yang, 2005. "Can the strengths of AIC and BIC be shared? A conflict between model indentification and regression estimation," Biometrika, Biometrika Trust, vol. 92(4), pages 937-950, December.
- Kim Kenobi & Ian L. Dryden & Huiling Le, 2010. "Shape curves and geodesic modelling," Biometrika, Biometrika Trust, vol. 97(3), pages 567-584.
- David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
- Zhu, Hongtu & Chen, Yasheng & Ibrahim, Joseph G. & Li, Yimei & Hall, Colin & Lin, Weili, 2009. "Intrinsic Regression Models for Positive-Definite Matrices With Applications to Diffusion Tensor Imaging," Journal of the American Statistical Association, American Statistical Association, vol. 104(487), pages 1203-1212.
- Peter E. Jupp & John T. Kent, 1987. "Fitting Smooth Paths to Spherical Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(1), pages 34-46, March.
- Ying Yuan & Hongtu Zhu & Weili Lin & J. S. Marron, 2012. "Local polynomial regression for symmetric positive definite matrices," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 74(4), pages 697-719, September.
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- Di Noia, Antonio & Mastrantonio, Gianluca & Jona Lasinio, Giovanna, 2024. "Bayesian size-and-shape regression modelling," Statistics & Probability Letters, Elsevier, vol. 204(C).
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Keywords
Bayesian; Markov chain Monte Carlo; Principal components analysis; Size-and-shape regression.;All these keywords.
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