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Dual connections in nonparametric classical information geometry

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  • M. Grasselli

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  • M. Grasselli, 2010. "Dual connections in nonparametric classical information geometry," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(5), pages 873-896, October.
    • Handle: RePEc:spr:aistmt:v:62:y:2010:i:5:p:873-896
    DOI: 10.1007/s10463-008-0191-3
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    References listed on IDEAS

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    1. Alberto Cena & Giovanni Pistone, 2007. "Exponential statistical manifold," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(1), pages 27-56, March.
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    Cited by:

    1. Amari, Shun-ichi & Ohara, Atsumi & Matsuzoe, Hiroshi, 2012. "Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4308-4319.
    2. Barbara Trivellato, 2024. "Sub-exponentiality in Statistical Exponential Models," Journal of Theoretical Probability, Springer, vol. 37(3), pages 2076-2096, September.
    3. Rui F. Vigelis & Charles C. Cavalcante, 2013. "On φ-Families of Probability Distributions," Journal of Theoretical Probability, Springer, vol. 26(3), pages 870-884, September.

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