Statistical manifolds are statistical models |
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Authors: | Hông Vân Lê |
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Institution: | 1. Max-Planck-Institute, for Mathematics in Sciences, Inselstra?e 22-26, 04103, Leipzig, Germany
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Abstract: | In this note we prove that any smooth (C1 resp.) statistical manifold can be embedded into the space of probability measures on a finite set. As a result, we get positive
answers to Lauritzen’s question and Amari’s question on a realization of smooth (C1 resp.) statistical manifolds as finite dimensional statistical models. |
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Keywords: | 53C42 |
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