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Volumn 12, Issue 5, 2006, Pages 775-799

Asymptotic distribution and local power of the log-likelihood ratio test for mixtures: Bounded and unbounded cases

Author keywords

Contiguity; Extreme values; Local power; Log likelihood ratio test; Mixture models; Number of components

Indexed keywords


EID: 35448977702     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1161614946     Document Type: Article
Times cited : (20)

References (28)
  • 1
    • 71249126116 scopus 로고    scopus 로고
    • Asymptotic Poisson character of extremes in non-stationary Gaussian models
    • Azai's, J.-M. and Mercadier, C. (2003) Asymptotic Poisson character of extremes in non-stationary Gaussian models, Extremes, 6, 301-318.
    • (2003) Extremes , vol.6 , pp. 301-318
    • Azai's, J.-M.1    Mercadier, C.2
  • 2
    • 0001940707 scopus 로고
    • Asymptotic distribution of the likelihood ratio statistic in a prototypical non regular problem
    • J.K. Ghosh, S.K. Mitra, K.R. Parthasarathy and B.L.S. Prakasa Rao, New Delhi: Wiley Eastern
    • Bickel, P and Chernoff, H. (1993) Asymptotic distribution of the likelihood ratio statistic in a prototypical non regular problem. In J.K. Ghosh, S.K. Mitra, K.R. Parthasarathy and B.L.S. Prakasa Rao (eds), Statistics and Probability: A Raghu Raj Bahadur Festschrift, pp. 83-96. New Delhi: Wiley Eastern.
    • (1993) Statistics and Probability: A Raghu Raj Bahadur Festschrift , pp. 83-96
    • Bickel, P.1    Chernoff, H.2
  • 4
    • 0037702641 scopus 로고    scopus 로고
    • Large sample distribution of the likelihood ratio test for normal mixtures
    • Chen, H. and Chen, J. (2001) Large sample distribution of the likelihood ratio test for normal mixtures. Statist. Probab. Lett., 52, 125-133.
    • (2001) Statist. Probab. Lett. , vol.52 , pp. 125-133
    • Chen, H.1    Chen, J.2
  • 5
    • 0001895339 scopus 로고
    • Asymptotic distribution of the likelihood ratio test that a mixture of two binomials is a single binomial
    • Chernoff, H. and Lander, E. (1995) Asymptotic distribution of the likelihood ratio test that a mixture of two binomials is a single binomial. J Statist. Plann. Inference, 43, 19-40.
    • (1995) J Statist. Plann. Inference , vol.43 , pp. 19-40
    • Chernoff, H.1    Lander, E.2
  • 6
    • 84996128633 scopus 로고    scopus 로고
    • Testing in locally conic models, and application to mixture models
    • Dacunha-Castelle, D. and Gassiat, E. (1997) Testing in locally conic models, and application to mixture models. ESAIM Probab. Statist., 1, 285-317.
    • (1997) ESAIM Probab. Statist. , vol.1 , pp. 285-317
    • Dacunha-Castelle, D.1    Gassiat, E.2
  • 7
    • 0033236920 scopus 로고    scopus 로고
    • Testing the order of a model using locally conic parameterization: Population mixtures and stationary ARMA processes
    • Dacunha-Castelle, D. and Gassiat, E. (1999) Testing the order of a model using locally conic parameterization: population mixtures and stationary ARMA processes. Ann. Statist., 27(4), 1178-1209.
    • (1999) Ann. Statist. , vol.27 , Issue.4 , pp. 1178-1209
    • Dacunha-Castelle, D.1    Gassiat, E.2
  • 8
    • 84862798600 scopus 로고    scopus 로고
    • On likelihood ratio tests in Gaussian mixture models
    • Delmas, C. (2003) On likelihood ratio tests in Gaussian mixture models. Sankhyd, 65(3), 1-19.
    • (2003) Sankhyd , vol.65 , Issue.3 , pp. 1-19
    • Delmas, C.1
  • 9
    • 0035402151 scopus 로고    scopus 로고
    • Likelihood ratio test for univariate Gaussian mixture
    • Garel, B. (2001) Likelihood ratio test for univariate Gaussian mixture. J. Statist. Plann. Inference, 96(2), 325-350.
    • (2001) J. Statist. Plann. Inference , vol.96 , Issue.2 , pp. 325-350
    • Garel, B.1
  • 10
    • 0036845464 scopus 로고    scopus 로고
    • Likelihood ratio inequalities with applications to various mixtures
    • Gassiat, E. (2002) Likelihood ratio inequalities with applications to various mixtures. Ann. Inst. H. Poincare: Probab. Statist., 6, 897-906.
    • (2002) Ann. Inst. H. Poincare: Probab. Statist. , vol.6 , pp. 897-906
    • Gassiat, E.1
  • 11
    • 0000311058 scopus 로고
    • On the asymptotic performance of the log likelihood ratio statistic for the mixture model and related results
    • L. LeCam and R.A. Olshen, Monterey, CA: Wadsworth
    • Ghosh, J. and Sen, P. (1985) On the asymptotic performance of the log likelihood ratio statistic for the mixture model and related results. In L. LeCam and R.A. Olshen (eds), Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer, Vol. II, pp. 789-806. Monterey, CA: Wadsworth.
    • (1985) Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer , vol.1 , pp. 789-806
    • Ghosh, J.1    Sen, P.2
  • 12
    • 0000471936 scopus 로고
    • Testing in normal mixture models when the proportions are known
    • Goffinet, B., Loisel, P. and Laurent, B. (1992) Testing in normal mixture models when the proportions are known. Biometrika, 79, 842-846.
    • (1992) Biometrika , vol.79 , pp. 842-846
    • Goffinet, B.1    Loisel, P.2    Laurent, B.3
  • 13
    • 71249131641 scopus 로고    scopus 로고
    • Theoretical analysis of power in a two-component normal mixture model
    • Hall, P. and Stewart, M. (2004) Theoretical analysis of power in a two-component normal mixture model. Private communication.
    • (2004) Private Communication
    • Hall, P.1    Stewart, M.2
  • 15
    • 0035470890 scopus 로고    scopus 로고
    • Consistent estimation of mixture complexity
    • James, L.F., Priebe, C.E., and Marchette, D.J. (2001) Consistent estimation of mixture complexity. Ann. Statist., 29, 1281-1296.
    • (2001) Ann. Statist. , vol.29 , pp. 1281-1296
    • James, L.F.1    Priebe, C.E.2    Marchette, D.J.3
  • 16
    • 0031569655 scopus 로고    scopus 로고
    • Likelihood ratio test for genetic linkage
    • Lemdani, M. and Pons, O. (1997) Likelihood ratio test for genetic linkage. Statist. Probab. Lett., 33(1), 15-22.
    • (1997) Statist. Probab. Lett. , vol.33 , Issue.1 , pp. 15-22
    • Lemdani, M.1    Pons, O.2
  • 17
    • 0000092934 scopus 로고    scopus 로고
    • Likelihood ratio tests in contamination models
    • Lemdani, M. and Pons, O. (1999) Likelihood ratio tests in contamination models. Bernoulli, 5, 705-719.
    • (1999) Bernoulli , vol.5 , pp. 705-719
    • Lemdani, M.1    Pons, O.2
  • 18
    • 0036012940 scopus 로고    scopus 로고
    • A normal comparison inequality and its applications
    • Li, W.V and Shao, Q. (2002) A normal comparison inequality and its applications. Probab. Theory Related Fields, 122(4), 494-508.
    • (2002) Probab. Theory Related Fields , vol.122 , Issue.4 , pp. 494-508
    • Li, W.V.1    Shao, Q.2
  • 20
    • 1642265259 scopus 로고    scopus 로고
    • Asymptotics for the likelihood ratio test in two-component normal mixture models
    • Liu, X. and Shao, Y. (2004) Asymptotics for the likelihood ratio test in two-component normal mixture models. J. Statist. Plann. Inference, 123(1), 61-81.
    • (2004) J. Statist. Plann. Inference , vol.123 , Issue.1 , pp. 61-81
    • Liu, X.1    Shao, Y.2
  • 24
    • 0035635535 scopus 로고    scopus 로고
    • Testing for homogeneity in an exponential mixture model
    • Mosler, K. and Seidel, W. (2001) Testing for homogeneity in an exponential mixture model. Austral. N.Z. J. Statist., 43(3), 231-247.
    • (2001) Austral. N.Z. J. Statist. , vol.43 , Issue.3 , pp. 231-247
    • Mosler, K.1    Seidel, W.2
  • 25
    • 6744245580 scopus 로고    scopus 로고
    • A cautionary note on likelihood ratio tests in mixture models
    • Seidel, W, Mosler, K., and Alker, M. (2000) A cautionary note on likelihood ratio tests in mixture models, Ann. Inst. Statist. Math., 52, 481-487.
    • (2000) Ann. Inst. Statist. Math. , vol.52 , pp. 481-487
    • Seidel, W.1    Mosler, K.2    Alker, M.3


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