C¹-statistical manifolds are statistical models

Hông Vân Lê

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Submission date: 19. Aug. 2003
Pages: 9
published in: Journal of geometry, 84 (2005) 1/2, p. 83-93 
DOI number (of the published article): 10.1007/s00022-005-0030-0
Bibtex
with the following different title: Statistical manifolds are statistical models
MSC-Numbers: 5332, 6205
Keywords and phrases: stattistical models, statistical manifolds
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Abstract:
We prove that any -statistical manifold can be embedded into the space of all probability measures on a finite set. As a result we get a positive answer to the Lauritzen question on realization of -statistical manifolds as statistical models