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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
77/2003

$C^1$-statistical manifolds are statistical models

Hông Vân Lê

Abstract

We prove that any $C^1$-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 $C^1$-statistical manifolds as statistical models

Received:
Aug 19, 2003
Published:
Aug 19, 2003
MSC Codes:
5332, 6205
Keywords:
stattistical models, statistical manifolds

Related publications

inJournal
2005 Repository Open Access
Hông Vân Lê

Statistical manifolds are statistical models

In: Journal of geometry, 84 (2005) 1/2, pp. 83-93