Geometry of escort distributions, Physical Review E, vol.68, issue.3, p.31101, 2003. ,
DOI : 10.1103/PhysRevE.68.031101
<formula formulatype="inline"><tex Notation="TeX">$\alpha$</tex> </formula>-Divergence Is Unique, Belonging to Both <formula formulatype="inline"> <tex Notation="TeX">$f$</tex></formula>-Divergence and Bregman Divergence Classes, IEEE Transactions on Information Theory, vol.55, issue.11, pp.4925-4931, 2009. ,
DOI : 10.1109/TIT.2009.2030485
Locally Best Unbiased Estimates, The Annals of Mathematical Statistics, vol.20, issue.4, pp.477-501, 1949. ,
DOI : 10.1214/aoms/1177729943
Thermodynamics of Chaotic Systems, 1993. ,
DOI : 10.1017/CBO9780511524585
Source coding with escort distributions and R??nyi entropy bounds, Physics Letters A, vol.373, issue.36, pp.3235-3238, 2009. ,
DOI : 10.1016/j.physleta.2009.07.015
URL : http://arxiv.org/abs/1109.3385
Some properties of generalized Fisher information in the context of nonextensive thermostatistics, Physica A: Statistical Mechanics and its Applications, vol.392, issue.15, 2012. ,
DOI : 10.1016/j.physa.2013.03.062
URL : https://hal.archives-ouvertes.fr/hal-00766699
-Gaussian distributions, Journal of Physics A: Mathematical and Theoretical, vol.46, issue.9, p.95303, 2013. ,
DOI : 10.1088/1751-8113/46/9/095303
URL : https://hal.archives-ouvertes.fr/in2p3-00025231
Direct determination of the f(??) singularity spectrum, Physical Review Letters, vol.62, issue.12, p.1327, 1989. ,
DOI : 10.1103/PhysRevLett.62.1327
A mass-transportation approach to sharp Sobolev and Gagliardo???Nirenberg inequalities, Advances in Mathematics, vol.182, issue.2, pp.307-332, 2004. ,
DOI : 10.1016/S0001-8708(03)00080-X
URL : https://hal.archives-ouvertes.fr/hal-00157943
Best constants for Gagliardo???Nirenberg inequalities and applications to nonlinear diffusions, Journal de Math??matiques Pures et Appliqu??es, vol.81, issue.9, pp.847-875, 2002. ,
DOI : 10.1016/S0021-7824(02)01266-7
Statistical Decision Theory, 2008. ,
DOI : 10.1007/978-0-387-73194-0_3
Extensions of Fisher Information and Stam's Inequality, IEEE Transactions on Information Theory, vol.58, issue.3, pp.1319-1327, 2012. ,
DOI : 10.1109/TIT.2011.2177563
Anomalous diffusion and Tsallis statistics in an optical lattice, Physical Review A, vol.67, issue.5, p.51402, 2003. ,
DOI : 10.1103/PhysRevA.67.051402
A dually flat structure on the space of escort distributions, Journal of Physics: Conference Series, vol.201, p.12012, 2010. ,
DOI : 10.1088/1742-6596/201/1/012012
q-Gaussians in the porous-medium equation: stability and time evolution, The European Physical Journal B, vol.66, issue.4, pp.537-546, 2008. ,
DOI : 10.1140/epjb/e2008-00451-y
Nonextensive statistical mechanics: A brief introduction, Continuum Mechanics and Thermodynamics, vol.16, issue.3, 2009. ,
DOI : 10.1007/s00161-004-0174-4
? ? -divergence and generalized Fisher information In: Transactions of the Sixth Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, pp.873-886, 1973. ,
Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type, 2006. ,
DOI : 10.1093/acprof:oso/9780199202973.001.0001
A general class of lower bounds in parameter estimation, IEEE Transactions on Information Theory, vol.34, issue.2, pp.338-342, 1988. ,
DOI : 10.1109/18.2647