S. I. Amari and H. Nagaoka, Methods of information geometry, 2000.

O. Tuzel, F. Porikli, and P. Meer, Pedestrian Detection via Classification on Riemannian Manifolds, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.30, issue.10, pp.1713-1727, 2008.
DOI : 10.1109/TPAMI.2008.75

F. Porikli, O. Tuzel, and P. Meer, Covariance tracking using model update based means on Riemannian manifolds, IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp.728-735, 2006.

S. Kurtek, E. Klassen, Z. Ding, M. Avison, and A. Srivastava, Parameterization-Invariant Shape Statistics and Probabilistic Classification of Anatomical Surfaces, Lecture Notes in Computer Science, vol.6801, pp.147-158, 2011.
DOI : 10.1007/978-3-642-22092-0_13

X. Gu, J. D. Deng, and M. K. Purvis, Improving superpixelbased image segmentation by incorporating color covariance matrix manifolds, International Conference on Image Processing (ICIP), 2014.

S. Said, L. Bombrun, and Y. Berthoumieu, New Riemannian Priors on the Univariate Normal Model, Entropy, vol.16, issue.7, pp.4015-4031, 2014.
DOI : 10.3390/e16074015

URL : https://hal.archives-ouvertes.fr/hal-01084330

A. Terras, Harmonic analysis on symmetric spaces and application , II, 1988.
DOI : 10.1007/978-1-4612-3820-1

S. E. Grigorescu, N. Petkov, and P. Kruizinga, Comparison of texture features based on Gabor filters, IEEE Transactions on Image Processing, vol.11, issue.10, pp.1160-1167, 2002.
DOI : 10.1109/TIP.2002.804262

A. Schutz, L. Bombrun, and Y. Berthoumieu, K-centroidsbased supervised classification of texture images using the SIRV modeling, Geometric Science of Information (GSI), 2031, pp.1-8

E. L. Lehmann and G. Casella, Theory of point estimation, 1998.

I. A. Ibragimov and R. Z. Hasminskii, Statistical estimation: asymptotic theory, 1981.
DOI : 10.1007/978-1-4899-0027-2

C. R. Rao, Information and the Accuracy Attainable in the Estimation of Statistical Parameters, Bull. Calcutta Math. Soc, vol.37, pp.81-91, 1945.
DOI : 10.1007/978-1-4612-0919-5_16

C. Atkinson and A. F. Mitchell, Rao's distance measure, Sankhya Ser. A, vol.43, pp.345-365, 1981.

M. Berger, A panoramic view of Riemannian geometry, 2007.
DOI : 10.1007/978-3-642-18245-7

A. Afsari, Introduction to hyperbolic geometry Riemannian L p center of mass : existence, uniqueness and convexity, Proc. Amer, pp.655-673, 1995.

F. Nielsen and R. Nock, Hyperbolic Voronoi Diagrams Made Easy, 2010 International Conference on Computational Science and Its Applications, pp.74-80, 2010.
DOI : 10.1109/ICCSA.2010.37

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1964.

S. Fruhwirth-schnatter, Finite mixture and Markov switching models, 2006.

P. A. Absil, R. Mahoney, and R. Sepulchre, Optimization algorithms on matrix manifolds [23] MIT Media Lab Vision and Modeling group VisTex : Vision texture database, 1995.