Deformed exponential bundle: The linear growth case

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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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Montrucchio, L., & Pistone, G. (2017). Deformed exponential bundle: The linear growth case. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10589 LNCS, pp. 239–246). Springer Verlag. https://doi.org/10.1007/978-3-319-68445-1_28

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