Completness of Statistical Structures

Barbara Opozda
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Barbara Opozda: Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Cracow, Poland

Mathematics, 2019, vol. 7, issue 1, 1-6

Abstract: 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.

Keywords: statistical structure; affine hypersurface; affine sphere; conjugate symmetric statistical structure; sectional ?-curvature; complete connection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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