Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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