α-SCALAR CURVATURE OF THE t-MANIFOLD

• Journal title : Honam Mathematical Journal
• Volume 33, Issue 4,  2011, pp.487-493
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2011.33.4.487
Title & Authors
α-SCALAR CURVATURE OF THE t-MANIFOLD
Cho, Bong-Sik; Jung, Sun-Young;

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 $\small{{\alpha}}$-scalar curvatures to the t-manifold are calculated.
Keywords
$\small{{\alpha}}$-connection;$\small{{\alpha}}$-scalar curvature;
Language
English
Cited by
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