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Volumn 55, Issue 1, 2005, Pages

An application of classical invariant theory to identifiability in nonparametric mixtures

Author keywords

Birational; Invariant; Mixture model

Indexed keywords


EID: 33645612877     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.2087     Document Type: Article
Times cited : (25)

References (19)
  • 1
    • 0344268984 scopus 로고    scopus 로고
    • Ranks of tensors, secant varieties of Segre varieties and fat points
    • M. V. CATALISANO, A. V. GERAMITA, A. GIMIGLIANO, Ranks of tensors, secant varieties of Segre varieties and fat points, Linear Algebra Appl. 355 (2002), 263-285.
    • (2002) Linear Algebra Appl , vol.355 , pp. 263-285
    • CATALISANO, M.V.1    GERAMITA, A.V.2    GIMIGLIANO, A.3
  • 2
    • 0344268984 scopus 로고    scopus 로고
    • M. V. CATALISANO, A. V. GERAMITA, A. GIMIGLIANO, Erratum to: Ranks of tensors, secant varieties of Segre varieties and fat points [Linear Algebra Appl. 355 (2002), 263-285; MR 2003g:14070], Linear Algebra Appl. 367 (2003), 347-348.
    • M. V. CATALISANO, A. V. GERAMITA, A. GIMIGLIANO, Erratum to: "Ranks of tensors, secant varieties of Segre varieties and fat points" [Linear Algebra Appl. 355 (2002), 263-285; MR 2003g:14070], Linear Algebra Appl. 367 (2003), 347-348.
  • 3
    • 34347258328 scopus 로고    scopus 로고
    • L. D. GARCIA, M. STILLMAN, B. STURMFELS, Algebraic geometry of Bayesian networks, (e-print http://arXiv.org/abs/math.AG/ 0301255).
    • L. D. GARCIA, M. STILLMAN, B. STURMFELS, Algebraic geometry of Bayesian networks, (e-print http://arXiv.org/abs/math.AG/ 0301255).
  • 5
    • 85041975304 scopus 로고
    • Exploratory latent structure analysis using both identifiable and unidentifiable models
    • L. A. GOODMAN, Exploratory latent structure analysis using both identifiable and unidentifiable models, Biometrika 61 (1974), 215-231.
    • (1974) Biometrika , vol.61 , pp. 215-231
    • GOODMAN, L.A.1
  • 6
    • 21144453941 scopus 로고    scopus 로고
    • Nonparametric estimation of component distributions in a multivariate mixture
    • P. HALL, X.-H. ZHOU, Nonparametric estimation of component distributions in a multivariate mixture, Ann. Statist. 31 (2003), 201-224.
    • (2003) Ann. Statist , vol.31 , pp. 201-224
    • HALL, P.1    ZHOU, X.-H.2
  • 7
    • 34347251756 scopus 로고    scopus 로고
    • Nonparametric inference in multivariate mixtures
    • To appear
    • P. HALL, A. NEEMAN, R. PAKYARI, R. ELMORE, Nonparametric inference in multivariate mixtures, To appear.
    • HALL, P.1    NEEMAN, A.2    PAKYARI, R.3    ELMORE, R.4
  • 8
    • 34347243369 scopus 로고    scopus 로고
    • J. M. LANDSBERG, L. MANIVEL, On the ideals of secant varieties to Segre varieties, (e-print http://arXiv.org/abs/math.AG/0311388).
    • J. M. LANDSBERG, L. MANIVEL, On the ideals of secant varieties to Segre varieties, (e-print http://arXiv.org/abs/math.AG/0311388).
  • 11
    • 84968478821 scopus 로고
    • The field of multisymmetric functions
    • A. MATTUCK, The field of multisymmetric functions, Proc. Amer. Math. Soc. 19 (1968), 764-765.
    • (1968) Proc. Amer. Math. Soc , vol.19 , pp. 764-765
    • MATTUCK, A.1
  • 12
    • 34347215316 scopus 로고
    • On the normality of the Chow variety of positive 0-cycles of degree m in an algebraic variety
    • M. NAGATA, On the normality of the Chow variety of positive 0-cycles of degree m in an algebraic variety, Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math. 29 (1955), 165-176.
    • (1955) Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math , vol.29 , pp. 165-176
    • NAGATA, M.1
  • 15
    • 34347238788 scopus 로고    scopus 로고
    • H. TEICHER, Identiflability of mixtures, Ann. Math. Statist. 32 (1961), 244-248.
    • H. TEICHER, Identiflability of mixtures, Ann. Math. Statist. 32 (1961), 244-248.
  • 16
    • 0000607206 scopus 로고
    • Identifiability of finite mixtures
    • H. TEICHER, Identifiability of finite mixtures, Ann. Math. Statist. 34 (1963), 1265-1269.
    • (1963) Ann. Math. Statist , vol.34 , pp. 1265-1269
    • TEICHER, H.1
  • 18
    • 0004109271 scopus 로고
    • The Classical Groups
    • Princeton University Press, Princeton, N.J
    • H.WEYL, The Classical Groups. Their Invariants and Representations, Princeton University Press, Princeton, N.J., 1939.
    • (1939) Their Invariants and Representations
    • WEYL, H.1
  • 19
    • 0000411615 scopus 로고
    • On the identifiability of finite mixtures
    • S.J. YAKOWITZ, J. D. SPRAGINS, On the identifiability of finite mixtures, Ann. Math. Statist. 39 (1968), 209-214.
    • (1968) Ann. Math. Statist , vol.39 , pp. 209-214
    • YAKOWITZ, S.J.1    SPRAGINS, J.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.