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150324s1986 xx |||||o 00| ||eng c |
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|a 10.2307/1403260
|2 doi
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|a (DE-627)JST041664159
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|a (JST)1403260
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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1 |
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|a Barndorff-Nielsen, O. E.
|e verfasserin
|4 aut
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|a The Role of Differential Geometry in Statistical Theory
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|c 1986
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
|b c
|2 rdamedia
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|a Online-Ressource
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|a 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 geometry in statistics is then sketched. Recent developments are outlined and finally directions of current and possible future work are indicated. /// Récemment on a appuyé sur l'usage de géometrie différentielle en théorie statistique, particulièrement en théorie asymptotique. Dans cet article on décrit, relativement court et non-technique, quelques idées de la géométrie différentielle qui ont rapport à la statistique. Une partie du travail antérieur est ensuite esquissée. Le contour des développements récents est dessiné et enfin les directions du travail courant et éventuel à l'avenir sont indiquées.
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|a Copyright 1986 International Statistical Institute
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|a Affine connection
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|a Asymptotic theory
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|a Curvature
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|a Curved exponential family
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|a Distance between distributions
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|a Expected and observed information
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|a Nonlinear regression
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|a Riemannian space
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|a Tensors
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| 650 |
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|a Mathematics
|x Mathematical objects
|x Tensors
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| 650 |
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Geometric properties
|x Curvature
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| 650 |
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Differential geometry
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Statistics
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| 650 |
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Differential geometry
|x Riemann manifold
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Geometry
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| 650 |
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Coordinate systems
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| 650 |
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|a Behavioral sciences
|x Psychology
|x Cognitive psychology
|x Cognitive processes
|x Thought processes
|x Reasoning
|x Inference
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Inferential statistics
|x Statistical estimation
|x Estimation methods
|x Estimators
|x Maximum likelihood estimators
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Mathematical modeling
|x Parameterization
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| 655 |
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|a research-article
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1 |
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|a Cox, D. R.
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Reid, N.
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t International Statistical Review / Revue Internationale de Statistique
|d Blackwell Publishing Ltd
|g 54(1986), 1, Seite 83-96
|w (DE-627)327815280
|w (DE-600)2045049-7
|x 17515823
|7 nnns
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|g volume:54
|g year:1986
|g number:1
|g pages:83-96
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|u https://www.jstor.org/stable/1403260
|3 Volltext
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|u https://doi.org/10.2307/1403260
|3 Volltext
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|a AR
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|d 54
|j 1986
|e 1
|h 83-96
|