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http://dx.doi.org/10.5831/HMJ.2011.33.4.487

α-SCALAR CURVATURE OF THE t-MANIFOLD  

Cho, Bong-Sik (Division of Mathematics and Informational Statistics, Research institute for basic sciences, Wonkwang University)
Jung, Sun-Young (College of Engineering, Hanyang University)
Publication Information
Honam Mathematical Journal / v.33, no.4, 2011 , pp. 487-493 More about this Journal
Abstract
The Fisher information matrix plays a significant role in statistical inference in connection with estimation and properties of variance of estimators. In this paper, we define the parameter space of the t-manifold using its Fisher's matrix and characterize the t-manifold from the viewpoint of information geometry. The ${\alpha}$-scalar curvatures to the t-manifold are calculated.
Keywords
${\alpha}$-connection; ${\alpha}$-scalar curvature;
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