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Translations in the Exponential Orlicz Space with Gaussian Weight

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Geometric Science of Information (GSI 2017)

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

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Abstract

We study the continuity of space translations on non-parametric exponential families based on the exponential Orlicz space with Gaussian reference density.

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Acknowledgments

The author thanks Bertrand Lods (Università di Torino and Collegio Carlo Alberto, Moncalieri) for his comments and acknowledges the support of de Castro Statistics and Collegio Carlo Alberto, Moncalieri. He is a member of GNAMPA-INDAM.

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Authors and Affiliations

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

    Giovanni Pistone

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  1. Giovanni Pistone
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Correspondence to Giovanni Pistone .

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Editors and Affiliations

  1. Ecole Polytechnique, Palaiseau, France

    Frank Nielsen

  2. Thales Land and Air Systems, Limours, France

    Frédéric Barbaresco

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Pistone, G. (2017). Translations in the Exponential Orlicz Space with Gaussian Weight. 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_66

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  • DOI: https://doi.org/10.1007/978-3-319-68445-1_66

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68444-4

  • Online ISBN: 978-3-319-68445-1

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