J. Bercher, Quelques inégalités caractérisant les gaussiennes généralisées, 30th Conference Gretsi, 2011.

C. Tsallis, Nonextensive statistical mechanics: A brief introduction, Continuum Mechanics and Thermodynamics, vol.16, issue.3, 2009.
DOI : 10.1007/s00161-004-0174-4

J. Bercher, -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

I. Vajda, ? ? -divergence and generalized Fisher information, Transactions of the Sixth Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, pp.873-886, 1973.

E. Weinstein and A. Weiss, 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

D. Ferrari, Maximum L q -likelihood estimation, The Annals of Statistics, vol.38, issue.2, pp.753-783, 2010.
DOI : 10.1214/09-AOS687

P. Rousseeuw and A. Leroy, Robust Regression and Outlier Detection , ser, 2005.

S. M. Stigler, Do robust estimators work with real data ? " The Annals of Statistics, pp.1055-1098, 1977.

E. Lutwak, S. Lv, D. Yang, and G. Zhang, 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

J. L. Vázquez, Smoothing and Decay Estimates for Nonlinear Diffusion Equations : Equations of Porous Medium Type, 2006.
DOI : 10.1093/acprof:oso/9780199202973.001.0001

J. Bercher, Some properties of generalized Fisher information in the context of nonextensive thermostatistics Physica A : Statistical Mechanics and its Applications, pp.3140-3154, 2013.