Completness of Statistical Structures

Completness of Statistical Structures

In this survey note, we discuss the notion of completeness for statistical structures. There are at least three connections whose completeness might be taken into account, namely, the Levi-Civita connection of the given metric, the statistical connection, and its conjugate. Especially little is know...

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Bibliographic Details
Main Author: Barbara Opozda
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Mathematics
Subjects:
statistical structure
affine hypersurface
affine sphere
conjugate symmetric statistical structure
sectional ∇-curvature
complete connection
Online Access:http://www.mdpi.com/2227-7390/7/1/104
Description
Summary:In this survey note, we discuss the notion of completeness for statistical structures. There are at least three connections whose completeness might be taken into account, namely, the Levi-Civita connection of the given metric, the statistical connection, and its conjugate. Especially little is known on the completeness of statistical connections.
ISSN:2227-7390

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