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150323s2006 xx |||||o 00| ||eng c |
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|a (DE-627)JST010290656
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|a (JST)3592591
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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|a Dryden, Ian L.
|e verfasserin
|4 aut
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|a Extreme Shape Analysis
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|c 2006
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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 We consider the analysis of extreme shapes rather than the more usual mean- and variance-based shape analysis. In particular, we consider extreme shape analysis in two applications: human muscle fibre images, where we compare healthy and diseased muscles, and temporal sequences of DNA shapes from molecular dynamics simulations. One feature of the shape space is that it is bounded, so we consider estimators which use prior knowledge of the upper bound when present. Peaks-over-threshold methods and maximum-likelihood-based inference are used. We introduce fixed end point and constrained maximum likelihood estimators, and we discuss their asymptotic properties for large samples. It is shown that in some cases the constrained estimators have half the mean-square error of the unconstrained maximum likelihood estimators. The new estimators are applied to the muscle and DNA data, and practical conclusions are given.
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|a Copyright 2006 The Royal Statistical Society and Blackwell Publishing Ltd.
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|a Delaunay Triangles
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|a DNA
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|a Extreme Value Theory
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|a Generalized Pareto Distribution
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|a Molecular Dynamics
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|a Muscles
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|a Peaks over Threshold
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|a Procrustes Analysis
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|a Procrustes Distance
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|a Return Levels
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|a Shape Analysis
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|a Shape Space
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|a Sphere
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|a Mathematics
|x Pure mathematics
|x Geometry
|x Geometric shapes
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|a Mathematics
|x Applied mathematics
|x Analytics
|x Analytical estimating
|x Maximum likelihood estimation
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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
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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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|a Biological sciences
|x Biology
|x Cytology
|x Cell biology
|x Cells
|x Muscle cells
|x Muscle fibers
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|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Descriptive statistics
|x Statistical distributions
|x Distribution functions
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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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|a Mathematics
|x Pure mathematics
|x Topology
|x Triangulation
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|a Economics
|x Economic research
|x Economic analysis
|x Economic value
|x Valuation
|x Value analysis
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|a Information science
|x Data products
|x Datasets
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|a research-article
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|a Zempléni, András
|e verfasserin
|4 aut
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0 |
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|i Enthalten in
|t Journal of the Royal Statistical Society. Series C (Applied Statistics)
|d Blackwell Publishers
|g 55(2006), 1, Seite 103-121
|w (DE-627)300192061
|w (DE-600)1482300-7
|x 14679876
|7 nnns
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|g volume:55
|g year:2006
|g number:1
|g pages:103-121
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|u https://www.jstor.org/stable/3592591
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|d 55
|j 2006
|e 1
|h 103-121
|