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Differential Geometrical Theory of Statistics
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Entropy2016,18, 396 Theresultsarepartlyextractedfromtheconferencepaper [17].Dataused in theexperimental tests are radarobservations fromTHALESX-bandRadar, recordedduring2014field trials campaignat ToulouseBlagnacAirport forEuropeanFP7UFOstudy (Ultra-FastwindsensOrs forwake-vortex hazardsmitigation) (see [29,30]).DataarerepresentativeofTurbulentatmospheremonitoredbyradar. Figure2 illustrates thedensityestimationofsixcoefficientsonthePoincaréunitdiskunderarainy environment. Thedensitiesareindividuallyre-scaledforvisualizationpurposes. Foreachenvironment, thedataset is composedof120draws. Thedensitiesof thecoefficientsΩk are representativeof the background.This informationonthebackgroundisexpectedtoeasethedetectionof interestingtargets. Ω1 Ω2 Ω3 Ω4 Ω5 Ω6 Figure2.Estimationof thedensityof sixcoefficientsΩkunderrainyconditions. Theexpressionof the usedkernel isK(x)= 3π(1−x2)21x<1.Densitiesarerescaledforvisualpurposes. 356
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Differential Geometrical Theory of Statistics
Titel
Differential Geometrical Theory of Statistics
Autoren
Frédéric Barbaresco
Frank Nielsen
Herausgeber
MDPI
Ort
Basel
Datum
2017
Sprache
englisch
Lizenz
CC BY-NC-ND 4.0
ISBN
978-3-03842-425-3
Abmessungen
17.0 x 24.4 cm
Seiten
476
Schlagwörter
Entropy, Coding Theory, Maximum entropy, Information geometry, Computational Information Geometry, Hessian Geometry, Divergence Geometry, Information topology, Cohomology, Shape Space, Statistical physics, Thermodynamics
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Differential Geometrical Theory of Statistics