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Volumn 51, Issue 11, 2007, Pages 5295-5304

Recent asymptotic results in testing for mixtures

Author keywords

Asymptotics; Likelihood ratio test; Mixture of distributions; Nonstationary Gaussian process

Indexed keywords

PARAMETER ESTIMATION; PROBLEM SOLVING; STATISTICAL TESTS;

EID: 34247897125     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.09.033     Document Type: Article
Times cited : (18)

References (31)
  • 1
    • 0001940707 scopus 로고
    • Asymptotic distribution of the likelihood ratio statistic in a prototypical non regular problem
    • Ghosh J.K., et al. (Ed), Wiley Eastern Limited
    • Bickel P., and Chernoff H. Asymptotic distribution of the likelihood ratio statistic in a prototypical non regular problem. In: Ghosh J.K., et al. (Ed). Statistics and Probability (1993), Wiley Eastern Limited 83-96
    • (1993) Statistics and Probability , pp. 83-96
    • Bickel, P.1    Chernoff, H.2
  • 2
    • 0347093592 scopus 로고    scopus 로고
    • The EM algorithm with gradient function update for discrete mixtures with known (fixed) number of components
    • Böhning D. The EM algorithm with gradient function update for discrete mixtures with known (fixed) number of components. Statist. Comput. 13 (2003) 257-265
    • (2003) Statist. Comput. , vol.13 , pp. 257-265
    • Böhning, D.1
  • 3
    • 16744364395 scopus 로고    scopus 로고
    • Recent developments in mixture models (Editorial)
    • Böhning D., and Seidel W. Recent developments in mixture models (Editorial). Comput. Statist. Data Anal. 41 (2003) 349-357
    • (2003) Comput. Statist. Data Anal. , vol.41 , pp. 349-357
    • Böhning, D.1    Seidel, W.2
  • 4
    • 0037702641 scopus 로고    scopus 로고
    • Large sample distribution of the likelihood ratio test for normal mixtures
    • Chen H., and Chen J. Large sample distribution of the likelihood ratio test for normal mixtures. Statist. Probab. Lett. 52 (2001) 125-133
    • (2001) Statist. Probab. Lett. , vol.52 , pp. 125-133
    • Chen, H.1    Chen, J.2
  • 5
    • 0035648075 scopus 로고    scopus 로고
    • A modified likelihood ratio test for homogeneity in finite mixture models
    • Chen H., Chen J., and Kalbfleisch D. A modified likelihood ratio test for homogeneity in finite mixture models. J. R. Statist. Soc. 63 (2001) 19-29
    • (2001) J. R. Statist. Soc. , vol.63 , pp. 19-29
    • Chen, H.1    Chen, J.2    Kalbfleisch, D.3
  • 6
    • 0000926206 scopus 로고
    • On the distribution of the likelihood ratio
    • Chernoff H. On the distribution of the likelihood ratio. Ann. Math. Statist. 25 (1954) 573-578
    • (1954) Ann. Math. Statist. , vol.25 , pp. 573-578
    • Chernoff, H.1
  • 7
    • 84996128633 scopus 로고    scopus 로고
    • Testing in locally conic models and application to mixture models
    • Dacunha-Castelle D., and Gassiat E. Testing in locally conic models and application to mixture models. Esaim Probab. Statist. 1 (1997) 285-317
    • (1997) Esaim Probab. Statist. , vol.1 , pp. 285-317
    • Dacunha-Castelle, D.1    Gassiat, E.2
  • 8
    • 24944532669 scopus 로고
    • Hypothesis testing when a nuisance parameter is present only under the alternative
    • Davies R.B. Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 74 (1987) 33-43
    • (1987) Biometrika , vol.74 , pp. 33-43
    • Davies, R.B.1
  • 9
    • 34247897704 scopus 로고    scopus 로고
    • Delmas, C., 2001. Distribution d'un champ aléatoire et applications statistiques. University Paul Sabatier Thesis, Toulouse.
  • 11
    • 0035402151 scopus 로고    scopus 로고
    • Likelihood ratio test for univariate Gaussian mixture
    • Garel B. Likelihood ratio test for univariate Gaussian mixture. J. Statist. Plan. Infer. 96 (2001) 325-350
    • (2001) J. Statist. Plan. Infer. , vol.96 , pp. 325-350
    • Garel, B.1
  • 12
    • 14044277535 scopus 로고    scopus 로고
    • Asymptotic theory of the likelihood ratio test for the identification of a mixture
    • Garel B. Asymptotic theory of the likelihood ratio test for the identification of a mixture. J. Statist. Plan. Inference 131 2 (2005) 271-296
    • (2005) J. Statist. Plan. Inference , vol.131 , Issue.2 , pp. 271-296
    • Garel, B.1
  • 13
    • 34247896167 scopus 로고    scopus 로고
    • Percentiles of the supremum of a nonstationary Gaussian process
    • Ermakov S.M., Melas V.B., and Pepelyshev A.N. (Eds), Chemistry St. Petersburg University Publishers
    • Garel B. Percentiles of the supremum of a nonstationary Gaussian process. In: Ermakov S.M., Melas V.B., and Pepelyshev A.N. (Eds). Simulation. Proceedings of the Fifth St. Petersburg Workshop on Simulation (2005), Chemistry St. Petersburg University Publishers
    • (2005) Simulation. Proceedings of the Fifth St. Petersburg Workshop on Simulation
    • Garel, B.1
  • 14
    • 10344257703 scopus 로고    scopus 로고
    • Removing separation conditions in a 1 against 3-components Gaussian mixture problem
    • Jajuga K., Sokolowski A., and Bock H.H. (Eds), Springer, Berlin
    • Garel B., and Goussanou F. Removing separation conditions in a 1 against 3-components Gaussian mixture problem. In: Jajuga K., Sokolowski A., and Bock H.H. (Eds). Classification, Clustering, and Data Analysis (2002), Springer, Berlin 61-73
    • (2002) Classification, Clustering, and Data Analysis , pp. 61-73
    • Garel, B.1    Goussanou, F.2
  • 15
    • 0000311058 scopus 로고
    • On the asymptotic performance of the log-likelihood ratio statistic for the mixture model and related results
    • Le Cam L.M., and Olshen R.A. (Eds), Wadsworth, Monterey
    • Ghosh J.K., and Sen P.K. On the asymptotic performance of the log-likelihood ratio statistic for the mixture model and related results. In: Le Cam L.M., and Olshen R.A. (Eds). Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer vol. II (1985), Wadsworth, Monterey 789-806
    • (1985) Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer , vol.II , pp. 789-806
    • Ghosh, J.K.1    Sen, P.K.2
  • 16
    • 20044370146 scopus 로고    scopus 로고
    • Theoretical analysis of power in a two-component normal mixture model
    • Hall P., and Stewart M. Theoretical analysis of power in a two-component normal mixture model. J. Statist. Plann. Inference 134 1 (2005) 158-179
    • (2005) J. Statist. Plann. Inference , vol.134 , Issue.1 , pp. 158-179
    • Hall, P.1    Stewart, M.2
  • 17
    • 0000881495 scopus 로고
    • A failure of likelihood asymptotics for normal mixtures
    • Le Cam L.M., and Olshen R.A. (Eds), Wadsworth, Monterey
    • Hartigan J.A. A failure of likelihood asymptotics for normal mixtures. In: Le Cam L.M., and Olshen R.A. (Eds). Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer vol. II (1985), Wadsworth, Monterey 807-810
    • (1985) Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer , vol.II , pp. 807-810
    • Hartigan, J.A.1
  • 18
    • 0037469124 scopus 로고    scopus 로고
    • Choosing initial values for the EM algorithm for finite mixtures
    • Karlis D., and Xekalaki E. Choosing initial values for the EM algorithm for finite mixtures. Comput. Statist. Data Anal. 41 (2003) 577-590
    • (2003) Comput. Statist. Data Anal. , vol.41 , pp. 577-590
    • Karlis, D.1    Xekalaki, E.2
  • 19
    • 0000092934 scopus 로고    scopus 로고
    • Likelihood ratio tests in contamination models
    • Lemdani M., and Pons O. Likelihood ratio tests in contamination models. Bernoulli 5 (1999) 705-719
    • (1999) Bernoulli , vol.5 , pp. 705-719
    • Lemdani, M.1    Pons, O.2
  • 20
    • 34247884959 scopus 로고    scopus 로고
    • Lindsay, B., 1995. Mixture models: theory, geometry and applications. NSF-CBMS Regional Conference Series in Probability and Statistics, vol. 5. Institute of Mathematical Statistics, Hayward.
  • 21
    • 0041810454 scopus 로고    scopus 로고
    • Asymptotics for likelihood ratio tests under loss of identifiability
    • Liu X., and Shao Y. Asymptotics for likelihood ratio tests under loss of identifiability. Ann. Statist. 31 (2003) 807-832
    • (2003) Ann. Statist. , vol.31 , pp. 807-832
    • Liu, X.1    Shao, Y.2
  • 22
    • 1642265259 scopus 로고    scopus 로고
    • Asymptotics for the likelihood ratio test in a two-component normal mixture model
    • Liu X., and Shao Y. Asymptotics for the likelihood ratio test in a two-component normal mixture model. J. Statist. Plann. Inference 123 1 (2004) 61-81
    • (2004) J. Statist. Plann. Inference , vol.123 , Issue.1 , pp. 61-81
    • Liu, X.1    Shao, Y.2
  • 23
    • 0037769816 scopus 로고    scopus 로고
    • Testing homogeneity in gamma mixture models
    • Liu X., Pasarica C., and Shao Y. Testing homogeneity in gamma mixture models. Scand. J. Statist. 30 (2003) 227-239
    • (2003) Scand. J. Statist. , vol.30 , pp. 227-239
    • Liu, X.1    Pasarica, C.2    Shao, Y.3
  • 24
    • 34247879307 scopus 로고
    • A contamination model in clinical chemistry: an illustration of a method for the efficient computation of posterior distributions
    • Naylor J., and Smith A. A contamination model in clinical chemistry: an illustration of a method for the efficient computation of posterior distributions. The Statistician 32 (1983) 82-87
    • (1983) The Statistician , vol.32 , pp. 82-87
    • Naylor, J.1    Smith, A.2
  • 25
    • 0000922853 scopus 로고
    • Note on the consistency of the maximum likelihood estimate for non identifiable distributions
    • Redner R.A. Note on the consistency of the maximum likelihood estimate for non identifiable distributions. Ann. Statist. 9 (1981) 225-228
    • (1981) Ann. Statist. , vol.9 , pp. 225-228
    • Redner, R.A.1
  • 26
    • 34247897703 scopus 로고    scopus 로고
    • Ruck, A., 2001. Calculating the (asymptotic) distribution of the log-LRT statistic in a contamination mixture model. Diskussionsbeiträge zur Statistik und Quantitativen Ökonomik, Universität der Bundeswehr Hamburg, 93; (pdf) 〈http://bruce.unibw-hamburg.de/publ/download/Contamination.pdf〉.
  • 27
    • 34247853936 scopus 로고    scopus 로고
    • Ruck, A., 2002. Calculating the asymptotic distribution of the log-LRT statistic for testing one against two populations in normal mixtures. Diskussionsbeiträge zur Statistik und Quantitativen Ökonomik, Universität der Bundeswehr Hamburg, 98; (pdf) 〈http://bruce.unibw-hamburg.de/publ/download/sec6.pdf〉.
  • 28
    • 17044412600 scopus 로고    scopus 로고
    • Types of likelihood maxima models and their implication on the performance of tests
    • Seidel W., and Sevcikova H. Types of likelihood maxima models and their implication on the performance of tests. Ann. Inst. Statist. Math. 56 (2004) 631-654
    • (2004) Ann. Inst. Statist. Math. , vol.56 , pp. 631-654
    • Seidel, W.1    Sevcikova, H.2
  • 29
    • 6744245580 scopus 로고    scopus 로고
    • A cautionary note on likelihood ratio tests in mixture models
    • Seidel W., Mosler K., and Alker M. A cautionary note on likelihood ratio tests in mixture models. Ann. Inst. Statist. Math. 52 (2000) 481-487
    • (2000) Ann. Inst. Statist. Math. , vol.52 , pp. 481-487
    • Seidel, W.1    Mosler, K.2    Alker, M.3
  • 30
    • 34247886542 scopus 로고    scopus 로고
    • Extremes of normed empirical moment generating function processes
    • Stewart M., and Robinson J. Extremes of normed empirical moment generating function processes. Extremes 6 (2005) 319-333
    • (2005) Extremes , vol.6 , pp. 319-333
    • Stewart, M.1    Robinson, J.2
  • 31
    • 34247852352 scopus 로고    scopus 로고
    • Wolfe, J.H., 1971. A Monte-Carlo study of the sampling distribution of the likelihood ratio for mixtures of multinormal distributions. Technical Bulletin STB, 72-2 (U.S. Navigation Personnel and Training Research Laboratory, San Diego).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.