Covariance, subspace, and intrinsic Cramér-Rao bounds, IEEE Transactions on Signal Processing, vol.53, issue.5, pp.1610-1630, 2005. ,
Fundamentals of statistical signal processing, 1993. ,
Lower bounds for parametric estimation with constraints, IEEE Transactions on Information Theory, vol.36, issue.6, pp.1285-1301, 1990. ,
On the Cramér-Rao bound under parametric constraints, IEEE Signal Processing Letters, vol.5, issue.7, pp.177-179, 1998. ,
A simple derivation of the constrained multiple parameter Cramér-Rao bound, IEEE Transactions on Signal Processing, vol.41, issue.6, pp.2247-2249, 1993. ,
Non-Bayesian Periodic Cramér-Rao bound, IEEE Transactions on Signal Processing, vol.61, issue.4, pp.1019-1032, 2013. ,
Cyclic Barankin Bounds for Non-Bayesian Periodic Parameter estimation, IEEE Transactions on Signal Processing, vol.62, issue.13, pp.3321-3336, 2014. ,
Bayesian Parameter Estimation using Periodic Cost Functions, IEEE Transactions on Signal Processing, vol.60, issue.3, pp.1229-1240, 2012. ,
A New Class of Bayesian Cyclic Bounds for Periodic Parameter Estimation, IEEE Transactions on Signal Processing, vol.64, issue.1, pp.229-243, 2016. ,
A Cramér-Rao type lower bound for estimators with values in a manifold, Journal of Multivariate Analysis, vol.38, issue.2, pp.245-261, 1991. ,
Intrinsic distance lower bound for unbiased estimators on riemannian manifolds, Acoustics, Speech, and Signal Processing, vol.2, p.1141, 2002. ,
Intrinsic variance lower bound (IVLB): an extension of the Cramér-Rao bound to riemannian manifolds, Acoustics, Speech, and Signal Processing, vol.5, p.1033, 2005. ,
On intrinsic Cramér-Rao bounds for riemannian submanifolds and quotient manifolds, IEEE transactions on signal processing, vol.61, issue.7, pp.1809-1821, 2013. ,
An intrinsic Cramér-Rao bound on Lie groups, Geometric Science of Information, pp.664-672, 2015. ,
Cramér-Rao bounds for synchronization of rotations, Journal of the IMA, vol.3, issue.1, pp.1-39, 2014. ,
An intrinsic Cramer-Rao bound on SO(3) for (dynamic) attitude filtering, 2015 54th IEEE Conference on Decision and Control (CDC), pp.2158-2163, 2015. ,
Generalized multivariate analysis, 1990. ,
Complex elliptically symmetric random variables -generation, characterization, and circularity tests, IEEE Transactions on Signal Processing, vol.59, issue.1, pp.58-69, 2011. ,
Complex elliptically symmetric distributions: Survey, new results and applications, IEEE Transactions on signal processing, vol.60, issue.11, pp.5597-5625, 2012. ,
Statistical analysis of measured polarimetric clutter data at different range resolutions, IEE Proceedings-Radar, Sonar and Navigation, vol.153, pp.473-481, 2006. ,
Compound-Gaussian clutter modeling with an inverse gaussian texture distribution, IEEE Signal Processing Letters, vol.19, issue.12, pp.876-879, 2012. ,
Image denoising using scale mixtures of gaussians in the wavelet domain, IEEE Transactions on Image processing, vol.12, issue.11, pp.1338-1351, 2003. ,
An elliptically contoured exponential mixture model for wavelet based image denoising, Applied and Computational Harmonic Analysis, vol.23, issue.1, pp.131-151, 2007. ,
Some results on the denoising problem in the elliptically distributed context, IEEE transactions on Signal Processing, vol.58, issue.1, pp.134-150, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00448934
The information matrix, skewness tensor and aconnections for the general multivariate elliptic distribution, Annals of the Institute of Statistical Mathematics, vol.41, issue.2, pp.289-304, 1989. ,
Cramér-Rao lower bounds on covariance matrix estimation for complex elliptically symmetric distributions, IEEE Transactions on Signal Processing, vol.61, issue.24, pp.6401-6409, 2013. ,
Statistical analysis of the covariance matrix mle in k-distributed clutter, Signal Processing, vol.90, issue.4, pp.1165-1175, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00556226
On the fisher Information Matrix for multivariate elliptically contoured distributions, IEEE Signal Processing Letters, vol.20, issue.11, pp.1130-1133, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00867012
A canonical definition of shape, Statistics & probability letters, vol.78, issue.14, pp.2240-2247, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00522552
Covariance matrix estimation for CFAR detection in correlated heavy tailed clutter, Signal Processing, vol.82, issue.12, pp.1847-1859, 2002. ,
Recursive estimation of the covariance matrix of a compound-gaussian process and its application to adaptive CFAR detection, IEEE Transactions on Signal Processing, vol.50, issue.8, pp.1908-1915, 2002. ,
Covariance structure maximum-likelihood estimates in Compound Gaussian noise: Existence and algorithm analysis, IEEE Transactions on Signal Processing, vol.56, issue.1, pp.34-48, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-01816367
Robust estimation of multivariate location and scatter, Wiley StatsRef: Statistics Reference Online, 1976. ,
A distribution-free M-estimator of multivariate scatter, The Annals of Statistics, pp.234-251, 1987. ,
Geodesic estimation in elliptical distributions, Journal of Multivariate Analysis, vol.63, issue.1, pp.35-46, 1997. ,
, Fundamentals of differential geometry, vol.191, 2012.
Positive definite matrices, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-02023293
Optimization algorithms on matrix manifolds, 2009. ,
Geodesic convexity and covariance estimation, IEEE Transactions on Signal Processing, vol.60, issue.12, pp.6182-6189, 2012. ,
Unified framework to regularized covariance estimation in scaled gaussian models, IEEE Transactions on Signal Processing, vol.60, issue.1, pp.29-38, 2012. ,
Regularized m -estimators of scatter matrix, IEEE Transactions on Signal Processing, vol.62, issue.22, pp.6059-6070, 2014. ,
Geodesic convexity and regularized scatter estimators, 2016. ,