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Entropy2016,18, 433 11. Shima,H.Homogeneoushessianmanifolds.Ann. Inst. Fourier1980,30, 91–128. 12. Vey, J.Unenotiond’hyperbolicitĂ© sur lesvariĂ©tĂ©s localementplates.C.R.Acad. Sci. Paris1968,266, 622–624. (InFrench) 13. Barbaresco,F. Informationgeometryofcovariancematrix:Cartan-Siegelhomogeneousboundeddomains. Mostov/BergerïŹbrationandFrechetmedian. InMatrix InformationGeometry;Springer: Berlin/Heidelberg, Germany,2013;pp. 199–255. 14. Baudot,P.;Bennequin,D.Topologyformsof informations.AIPConf. Proc. 2014,1641, 213–221. 15. Gromov,M. InaSearchforaStructure,Part I:OnEntropy.Availableonline:www.ihes.fr/gromov/PDF/ structure-serch-entropy-july5-2012.pdf (accessedon28November2016). 16. Gromov,M. Onthestructureofentropy. InProceedingsof the34thInternationalWorkshoponBayesian Inference andMaximumEntropyMethods in Science andEngineeringMaxEnt 2014,Amboise, France, 21–26September2014. 17. Amari,S.-I.DifferentialGeometryMethods inStatistics;LectureNotes inStatistics;Springer: Berlin/Heidelberg, Germany,1990. 18. Amari,S.-I.;Nagaoka,H.Methodsof InformationGeometry,TranslationsofMathemaicalMonographs;American MathematicalSociety: Providence,RI,USA,2007;Volume191. 19. Arnaudon,M.;Barbaresco,F.;Yan,L.MediansandMeans inRiemannianGeometry: Existence,Uniqueness andComputation. InMatrix InformationGeometry; Springer: Berlin/Heidelberg,Germany,2013;pp. 169–197. 20. Armaudon,M.;Nielsen,F.Meadiansandmeans inFishergeometry.LMSJ.Comput.Math. 2012,15, 23–37. 21. Barndorff-Nielsen,O.E.Differential geometryandstatistics: Somemathematical aspects. Indian J.Math. 1987,29, 335–350. 22. Murray,M.K.; Rice, J.W.Monographs on statistics and appliedprobability. InDifferential Geometry and Statistics;ChapmanandHall/CRC: BocaRaton,FL,USA,1993;Volume48. 23. NguiffoBoyom,M.;Byande,P.M.KVcohomology in informationgeometry. InMatrix InformationGeometry; Springer: Berlin/Heidelberg,Germany,2013;pp. 69–92. 24. Barndorff-Nielsen,O.E. Information andExponential Families in Stattistical Theory;Wiley: NewYork,NY, USA,1978. 25. NguiffoBoyom,M.; Jamali,M.; Shahid,M.H.MultiplyCRwarpedproduct Statistical submanifolds of holomorphicstatisticalspaceform. InGeometricScienceof Information; Springer: Berlin/Heidelberg,Germany, 2015;pp. 257–268. 26. Milnor, J.The fundamentalgroupsofcompleteafïŹnelyïŹ‚atmanifolds.Adv.Math. 1977,25, 178–187. 27. Gerstenhaber,M.OndeformationsofRingsandAlgebras.Ann.Math. 1964,79, 59–103. 28. Nijenhuis,A.SuruneclassedepropriĂ©tĂ©scommunesĂ quelques typesdiffĂ©rentsd’algĂšbres.Enseign.Math. 1968,14, 225–277. (InFrench) 29. NguiffoBoyom,M.;Byande,P.M.;Ngakeu,F.;Wolak,R.KVCohomologyanddiffrentialgeometryof locally ïŹ‚atmanifolds. Informationgeometry.Afr.Diaspora J.Math. 2012,14, 197–226. 30. McCullagh,P.What is statisticalmodel?Ann. Stat. 2002,30, 1225–1310. 31. Baudot,P.;Bennequim,D.ThehomologicalnatureofEntropy.Entropy2015,17, 3253–3318. 32. Hochschild,G.Onthecohomologygroupsofanassociativealgebra.Ann.Math. 1945,46, 58–67. 33. Hochschild,G.;Serre, J.-P.CohomologyofLiealgebras.Ann.Math. 1953,57, 591–603. 34. McCleary, J.AUser’sGuide toSpectralSequences;CambridgeUniversityPress: Cambridge,UK,2001. 35. Eilenberg,S.Cohomologyofspacewithoperatorsgroup.Trans.Am.Math. Soc1949,65, 49–99. 36. Koszul, J.-L.HomologiedescomplexesdeformesdiffĂ©rentiellesd’ordresupĂ©rieur.Ann.Sci. EcoleNorm.Super. 1974,7, 139–153. (InFrench) 37. Kass,R.E.;Vos,P.W.GeometricalFoundationsofAsymptotic Inference;Wiley:NewYork,NY,USA,1997. 38. Moerdijk, I.; Mrcun, J. Introduction to Foliations and Lie Groupoids; Cambridge Studies in Advanced Mathematics;CambridgeUniversityPress:Cambridge,UK,2003. 39. MolinoP.Riemannian,Foliations;Birkhauser: Boston,MA,USA,1988. 40. Reinhardt,B.L.Foliationswithbundle-likemetrics.Ann.Math. 1959,69, 119–132. 41. Akivis,M.;Goldberg,V.;Lychagin,V.Linearizabilityofd-webs,ontwo-dimensionalmanifolds.Sel.Math. 2004,10, 431–451. 42. Grifone, J.; Saab, J.;Zoltan,M.Onthe linearizationof3-webs.NonlinearAnal. 2001,47, 2643–2654. 43. Henaut,A.Sur la linĂ©arisationdes tissusdeC2.Topology1993,32, 531–542. 233
zurĂŒck zum  Buch Differential Geometrical Theory of Statistics"
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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Naturwissenschaften Physik
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Differential Geometrical Theory of Statistics