The Role of Differential Geometry in Statistical Theory

There has been increasing emphasis recently on the use of differential geometry in statistical theory, especially in asymptotic theory. In this paper a brief relatively nontechnical account is given of some relevant ideas in differential geometry. Some of the early work applying differential geometr...

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Veröffentlicht in:	International Statistical Review / Revue Internationale de Statistique. - Blackwell Publishing Ltd. - 54(1986), 1, Seite 83-96
1. Verfasser:	Barndorff-Nielsen, O. E. (VerfasserIn)
Weitere Verfasser:	Cox, D. R., Reid, N.
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	1986
Zugriff auf das übergeordnete Werk:	International Statistical Review / Revue Internationale de Statistique
Schlagworte:	Affine connection Asymptotic theory Curvature Curved exponential family Distance between distributions Expected and observed information Nonlinear regression Riemannian space Tensors Mathematics Behavioral sciences