Statistical manifold as an affine space: A functional equation approach
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[1] George Karabatsos,et al. Bayesian nonparametric model selection and model testing , 2006 .
[2] Shun-ichi Amari,et al. Differential-geometrical methods in statistics , 1985 .
[3] Giovanni Pistone,et al. Connections on non-parametric statistical manifolds by Orlicz space geometry , 1998 .
[4] Shun-ichi Amari,et al. Methods of information geometry , 2000 .
[5] M. Murray,et al. Differential Geometry and Statistics , 1993 .
[6] Giovanni Pistone,et al. An Infinite-Dimensional Geometric Structure on the Space of all the Probability Measures Equivalent to a Given One , 1995 .
[7] N. Čencov. Statistical Decision Rules and Optimal Inference , 2000 .
[8] On real Hilbertian info-manifolds , 2001 .
[9] Giovanni Pistone,et al. The Exponential Statistical Manifold: Mean Parameters, Orthogonality and Space Transformations , 1999 .
[10] J. Townsend,et al. Computational, Geometric, and Process Perspectives on Facial Cognition : Contexts and Challenges , 2005 .
[11] F. Smithies,et al. Convex Functions and Orlicz Spaces , 1962, The Mathematical Gazette.
[12] S. Amari. Differential Geometry of Curved Exponential Families-Curvatures and Information Loss , 1982 .
[13] B. Efron. Defining the Curvature of a Statistical Problem (with Applications to Second Order Efficiency) , 1975 .
[14] C. R. Rao,et al. Information and the Accuracy Attainable in the Estimation of Statistical Parameters , 1992 .
[15] M. Rao,et al. Theory of Orlicz spaces , 1991 .
[16] New ideas in non-parametric estimation , 2001 .
[17] J. Aczél,et al. Lectures on Functional Equations and Their Applications , 1968 .