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Completeness of statistical structures

2019
journal article
article
10.3390/math7010104
Journal
Mathematics
20
Author
Opozda Barbara
Volume
7
Number
1
Article ID
104
ISSN
2227-7390
Keywords in English

statistical structure

affine hypersurface

affine sphere

conjugate symmetric statistical structure

sectional ∇-curvature

Language
English
Journal language
English
Abstract in English

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.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
1
dc.abstract.enIn 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.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorOpozda, Barbara - 131177 pl
dc.date.accessioned2020-01-29T14:07:15Z
dc.date.available2020-01-29T14:07:15Z
dc.date.issued2019pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume7pl
dc.identifier.articleid104pl
dc.identifier.doi10.3390/math7010104pl
dc.identifier.issn2227-7390pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/147888
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.enstatistical structurepl
dc.subject.enaffine hypersurfacepl
dc.subject.enaffine spherepl
dc.subject.enconjugate symmetric statistical structurepl
dc.subject.ensectional ∇-curvaturepl
dc.subtypeArticlepl
dc.titleCompleteness of statistical structurespl
dc.title.journalMathematicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
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.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Opozda, Barbara - 131177
dc.date.accessioned
2020-01-29T14:07:15Z
dc.date.available
2020-01-29T14:07:15Z
dc.date.issuedpl
2019
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
7
dc.identifier.articleidpl
104
dc.identifier.doipl
10.3390/math7010104
dc.identifier.issnpl
2227-7390
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/147888
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subject.enpl
statistical structure
dc.subject.enpl
affine hypersurface
dc.subject.enpl
affine sphere
dc.subject.enpl
conjugate symmetric statistical structure
dc.subject.enpl
sectional ∇-curvature
dc.subtypepl
Article
dc.titlepl
Completeness of statistical structures
dc.title.journalpl
Mathematics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Opozda, Barbara

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