Web-Books
im Austria-Forum
Austria-Forum
Web-Books
Naturwissenschaften
Physik
Differential Geometrical Theory of Statistics
Seite - 343 -
  • Benutzer
  • Version
    • Vollversion
    • Textversion
  • Sprache
    • Deutsch
    • English - Englisch

Seite - 343 - in Differential Geometrical Theory of Statistics

Bild der Seite - 343 -

Bild der Seite - 343 - in Differential Geometrical Theory of Statistics

Text der Seite - 343 -

Entropy2016,18, 421 16. Anaya-Izquierdo,K.;Critchley,F.;Marriott,P.;Vos,P.Onthegeometric interplaybetweengoodness-of-fit andestimation: Illustrativeexamples. InComputational InformationGeometry: For ImageandSignalProcessing; LectureNotes inComputerScience (LNCS);Nielsen, F.,Dodson,K.,Critchley, F., Eds.; Springer: Berlin, Germany,2016. 17. Morris,C.Central limit theoremsformultinomial sums.Ann. Stat. 1975,3, 165–188. 18. Osius,G.;Rojek,D.Normalgoodness-of-fit tests formultinomialmodelswith largedegreesof freedom. JASA1992,87, 1145–1152. 19. Holst,L.Asymptoticnormalityandefficiencyforcertaingoodness-of-fit tests.Biometrika1972,59, 137–145. 20. Koehler,K.J.;Larntz,K.Anempirical investigationofgoodness-of-fitstatistics forsparsemultinomials. JASA 1980,75, 336–344. 21. Koehler,K.J.Goodness-of-fit tests for log-linearmodels insparsecontingency tables. JASA1986, 81, 483–493. 22. McCullagh, P. The conditional distribution of goodness-of-fit statistics for discrete data. JASA 1986, 81, 104–107. 23. Forster, J.J.;McDonald, J.W.; Smith,P.W.F.MonteCarloexact conditional tests for log-linearand logistic models. J.R.Stat. Soc. B1996,58, 445–453. 24. Kim,D.;Agresti,A.Nearlyexact testsofconditional independenceandmarginalhomogeneity forsparse contingencytables.Comput. Stat.DataAnal. 1997,24, 89–104. 25. Booth, J.G.;Butler,R.W.Animportancesamplingalgorithmforexactconditional tests in log-linearmodels. Biometrika1999,86, 321–332. 26. Caffo,B.S.; Booth, J.G.MonteCarloconditional inference for log-linearand logisticmodels: Asurveyof currentmethodology.Stat.MethodsMed.Res. 2003,12, 109–123. 27. Lloyd,C.J.ComputinghighlyaccurateorexactP-valuesusingimportancesampling.Comput. Stat.DataAnal. 2012,56, 1784–1794. 28. Simonoff, J.S. Jackknifingandbootstrappinggoodness-of-fit statistics insparsemultinomials. JASA1986,81, 1005–1011. 29. Gaunt, R.E.; Pickett, A.; Reinert, G. Chi-square approximation by Stein’s method with application to Pearson’sstatistic. arXiv2015, arXiv:1507.01707. 30. Fan, J.; Hung, H.-N.; Wong, W.-H. Geometric understanding of likelihood ratio statistics. JASA 2000, 95, 836–841. 31. Ulyanov,V.V.; Zubov,V.N.Refinement on the convergence of one family of goodness-of-fit statistics to chi-squareddistribution.HiroshimaMath. J.2009,39, 133–161. 32. Asylbekov,Z.A.;Zubov,V.N.;Ulyanov,V.V.Onapproximatingsomestatisticsofgoodness-of-fit tests in the caseof three-dimensionaldiscretedata.Sib.Math. J.2011,52, 571–584. 33. Zelterman,D.Goodness-of-fit tests for largesparsemultinomialdistributions. JASA1987,82, 624–629. 34. Bregman,L.M.Therelaxationmethodoffindingthecommonpointofconvexsetsanditsapplication to the solutionofproblemsinconvexprogramming.USSRComp.Math.Math. 1967,7, 200–217. 35. Amari,S.-I. InformationGeometryandItsApplications; Springer: Tokyo, Japan,2015. 36. Csiszár, I.Ontopologicalpropertiesof f-divergences.Stud. Sci.Math.Hung. 1967,2, 329–339. 37. Csiszár, I. Informationmeasures: A critical survey. In Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians;Kozesnik, J.,Ed.;Springer:Houten,TheNetherlands,1977;VolumeB,pp. 73–86. 38. Barndorff-Nielsen, O. Information and Exponential Families in Statistical Theory; JohnWiley&Sons, Ltd.: Chichester,UK,1978. 39. Brown, L.D.Fundamentals of Statistical Exponential FamilieswithApplications in StatisticalDecisionTheory; LectureNotes-MonographSeries; IntegratedMediaSystems(IMS):Hayward,CA,USA,1986;Volume9. 40. Csiszár, I.;Matúš,F.Closuresofexponential families.Ann.Probab. 2005,33, 582–600. 41. Eriksson,N.;Fienberg,S.E.;Rinaldo,A.;Sullivant,S.Polyhedral conditions for thenonexistenceof theMLE forhierarchical log-linearmodels. J.Symb.Comput. 2006,41, 222–233. 343
zurück 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
Kategorien
Naturwissenschaften Physik
Web-Books
Bibliothek
Datenschutz
Impressum
Austria-Forum
Austria-Forum
Web-Books
Differential Geometrical Theory of Statistics