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Regression models on Riemannian symmetric spaces

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  • Emil Cornea
  • Hongtu Zhu
  • Peter Kim
  • Joseph G. Ibrahim

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  • 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.
    • Handle: RePEc:bla:jorssb:v:79:y:2017:i:2:p:463-482
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    File URL: http://hdl.handle.net/10.1111/rssb.12169
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    References listed on IDEAS

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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Abhishek Bhattacharya & David B. Dunson, 2010. "Nonparametric Bayesian density estimation on manifolds with applications to planar shapes," Biometrika, Biometrika Trust, vol. 97(4), pages 851-865.
    3. 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.
    4. 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.
    5. Bhattacharya, Abhishek & Dunson, David, 2012. "Nonparametric Bayes classification and hypothesis testing on manifolds," Journal of Multivariate Analysis, Elsevier, vol. 111(C), pages 1-19.
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    Cited by:

    1. Xiongtao Dai & Zhenhua Lin & Hans‐Georg Müller, 2021. "Modeling sparse longitudinal data on Riemannian manifolds," Biometrics, The International Biometric Society, vol. 77(4), pages 1328-1341, December.
    2. Steyer, Lisa & Stöcker, Almond & Greven, Sonja, 2026. "Model-based Fréchet regression in (quotient) metric spaces with a focus on elastic curves," Journal of Multivariate Analysis, Elsevier, vol. 211(C).
    3. Kwang‐Rae Kim & Ian L. Dryden & Huiling Le & Katie E. Severn, 2021. "Smoothing splines on Riemannian manifolds, with applications to 3D shape space," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(1), pages 108-132, February.
    4. Yuexuan Wu & Chao Huang & Anuj Srivastava, 2024. "Shape-based functional data analysis," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 33(1), pages 1-47, March.
    5. 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.
    6. Jeon, Jeong Min & Van Bever, Germain, 2025. "Additive regression for Riemannian functional responses," Journal of Multivariate Analysis, Elsevier, vol. 210(C).
    7. Almond Stöcker & Lisa Steyer & Sonja Greven, 2024. "Comments on: shape-based functional data analysis," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 33(1), pages 48-58, March.
    8. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.

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