Web-Books
in the Austria-Forum
Austria-Forum
Web-Books
Naturwissenschaften
Physik
Differential Geometrical Theory of Statistics
Page - 234 -
  • User
  • Version
    • full version
    • text only version
  • Language
    • Deutsch - German
    • English

Page - 234 - in Differential Geometrical Theory of Statistics

Image of the Page - 234 -

Image of the Page - 234 - in Differential Geometrical Theory of Statistics

Text of the Page - 234 -

Entropy2016,18, 433 44. Hess,H.Connectionsonsymplecticmanifoldsandgeometricquantization. InDifferentialGeometryMethods inMaththematicalPhysics;LecturesNotes836;Springer: Berlin/Heidelberg,Germany,1980;pp. 153–166 45. NguiffoBoyom,M.Structures localementplatesdanscertainesvariétéssymplectiques.Math. Scand. 1995, 76, 61–84. (InFrench) 46. Kamber,F.;Tondeur,P.H.DeRham-HodgeTheory forRiemannianfoliations.Math.Ann. 1987,277, 415–431. 47. Byande, P.M.De Structures Affines à la Géométrie de L’information; ÉditionsUniversitaires Européennes: Saarbrücken,Germany,2012. (InFrench) 48. Chentsov,N.N.StatisticalDecisionRulesandOptimal Inference;AmericanMathematicalSociety: Providence, RI,USA,1982. 49. Petrie,T.;Handal, J.Connections,DefiniteFormsandFour-Manifolds;OxfordMathematcalMonograph,Oxford SciencePublications;ClarendonPress:Oxford,UK,1990. 50. Guillemin,V.; Sternberg, S.Analgebraicmodel for transitivedifferentialgeometry. Bull. Am. Math. Soc. 1964,70, 16–47. 51. Singer, I.M.;Sternberg,S.The infintegroupsandlieandCartan. J.Anal.Math. Jerus. 1965,15, 1–144. 52. Shima,H.TheGeometryofHessianStructures;WorldScientific: Singapore,2007. 53. Barbaresco,F.SymplecticStructureof InformationGeometry: Fisher InformationandEuler-PoincareEquationof SouriauLieGroupThermodynamics;Nielsen,F.,Barbaresco,F.,Eds.;Springer: Berlin/Heidelberg,Germany, 2015;pp. 529–540. 54. Matsuzoe,H.;Henmi,M.HessianStructuresonDeformedExponentialFamilies;Nielsen,F.,Barbaresco,F.,Eds.; Springer: Berlin/Heidelberg,Germany,2013;Volume8085,pp. 275–282. 55. Barbaresco,F.Koszul InformationGeometryandSouriauGeometricTemperature/CapacityofLieGroup Thermodynamics.Entropy2014,16, 4521–4565. 56. Nijenhuis, A.; Richardson,W.Commutative algebra cohomology anddeformation of Lie algebras and associativealgebras. J.Algebra1968,9, 42–53. 57. Chevallier, E.; Barbaresco, F.; Angulo, J. Kernel Density Estimation on Siegel SpaceApplied to Radar Processing.Entropy2016,18, 396. 58. Chevallier,E.;Barbaresco,F.;Angulo, J.Probabilitydensityestimationonhyperbolic spaceapplied toradar processing. InGeometricScienceof Information; Springer: Berlin/Heidelberg,Germany,2015;pp. 753–761. 59. Eilenberg,S.HomologyofspaceswithoperatorsgroupI.Trans.Am.Math. Soc. 1947,62, 378–417. 60. NguiffoBoyom,M.;Wolak,R.TransverseHessianmetrics informationgeometry. InProceedingsof the34th InternationalWorkshoponBayesian InferenceandMaximumEntropyMethods inScienceandEngineering, Amboise,France,21–26September2014. 61. NguiffoBoyom,M.;Wolak,R.A.TransverselyHessian foliationsand informationgeometry. Int. J.Math. 2016,27,doi:10.1142/S0129167X16500920. 62. Zeghib,A.OnGromovtheoryofrigid transformationgroups,adualapproach.Ergod. TheoreyDyn. Syst. 2000,20, 935–946. 63. Kamber, F.; Tondeur, P.H. InvariantOperators and the Cohomology of Lie Algebra Sheaves; Memoirs of the AmericanMatheamticalSociety: Providence,RI,USA,1971. 64. Kumpera,A.;Spencer,D.LieEquation;PrincetonUniversityPress: Princeton,NJ,USA,1972. 65. Guts,A.K. (OmskStateUniversity). Privatecommunication. c©2016bytheauthor. LicenseeMDPI,Basel,Switzerland.Thisarticle isanopenaccess articledistributedunder the termsandconditionsof theCreativeCommonsAttribution (CCBY) license (http://creativecommons.org/licenses/by/4.0/). 234
back to the  book Differential Geometrical Theory of Statistics"
Differential Geometrical Theory of Statistics
Title
Differential Geometrical Theory of Statistics
Authors
Frédéric Barbaresco
Frank Nielsen
Editor
MDPI
Location
Basel
Date
2017
Language
English
License
CC BY-NC-ND 4.0
ISBN
978-3-03842-425-3
Size
17.0 x 24.4 cm
Pages
476
Keywords
Entropy, Coding Theory, Maximum entropy, Information geometry, Computational Information Geometry, Hessian Geometry, Divergence Geometry, Information topology, Cohomology, Shape Space, Statistical physics, Thermodynamics
Categories
Naturwissenschaften Physik
Web-Books
Library
Privacy
Imprint
Austria-Forum
Austria-Forum
Web-Books
Differential Geometrical Theory of Statistics