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International Conference on Geometric Science of Information

GSI 2017: Geometric Science of Information pp 239–246Cite as

Deformed Exponential Bundle: The Linear Growth Case

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10589))

Abstract

Vigelis and Cavalcante extended the Naudts’ deformed exponential families to a generic reference density. Here, the special case of Newton’s deformed logarithm is used to construct an Hilbert statistical bundle for an infinite dimensional class of probability densities.

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References

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Acknowledgments

L. Montrucchio acknowledges the support of Collegio Carlo Alberto Foundation. G. Pistone is a member of GNAFA-INDAM and acknowledges the support of de Castro Statistics Foundation and Collegio Carlo Alberto Foundation.

Author information

Authors and Affiliations

  1. Collegio Carlo Alberto, Torino, Italy

    Luigi Montrucchio

  2. de Castro Statistics, Collegio Carlo Alberto, Torino, Italy

    Giovanni Pistone

Authors
  1. Luigi Montrucchio
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  2. Giovanni Pistone
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Corresponding author

Correspondence to Giovanni Pistone .

Editor information

Editors and Affiliations

  1. Ecole Polytechnique, Palaiseau, France

    Frank Nielsen

  2. Thales Land and Air Systems, Limours, France

    Frédéric Barbaresco

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Montrucchio, L., Pistone, G. (2017). Deformed Exponential Bundle: The Linear Growth Case. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science(), vol 10589. Springer, Cham. https://doi.org/10.1007/978-3-319-68445-1_28

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  • DOI: https://doi.org/10.1007/978-3-319-68445-1_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68444-4

  • Online ISBN: 978-3-319-68445-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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