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Exponential statistical manifold

Author

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  • Alberto Cena
  • Giovanni Pistone

Abstract

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Suggested Citation

  • 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.
    • Handle: RePEc:spr:aistmt:v:59:y:2007:i:1:p:27-56
    DOI: 10.1007/s10463-006-0096-y
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    Citations

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    Cited by:

    1. Mitsuhiro Itoh & Hiroyasu Satoh, 2023. "Geometric mean of probability measures and geodesics of Fisher information metric," Mathematische Nachrichten, Wiley Blackwell, vol. 296(5), pages 1901-1927, May.
    2. 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.
    3. Zhang, Fode & Ng, Hon Keung Tony & Shi, Yimin, 2020. "Mis-specification analysis of Wiener degradation models by using f-divergence with outliers," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    4. Siri, Paola & Trivellato, Barbara, 2021. "Robust concentration inequalities in maximal exponential models," Statistics & Probability Letters, Elsevier, vol. 170(C).
    5. 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.
    6. Barbara Trivellato, 2024. "Sub-exponentiality in Statistical Exponential Models," Journal of Theoretical Probability, Springer, vol. 37(3), pages 2076-2096, September.
    7. 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.

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