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Volumn 51, Issue 6, 2007, Pages 2946-2957

A linearization procedure and a VDM/ECM algorithm for penalized and constrained nonparametric maximum likelihood estimation for mixture models

Author keywords

Computing algorithm; Constrained NPMLE; Mixture models; Nonparametric maximum likelihood; Penalized NPMLE; VDM ECM

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; DATA STRUCTURES; LINEAR SYSTEMS; LINEARIZATION; MIXTURES; PARAMETER ESTIMATION;

EID: 33846585112     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.11.033     Document Type: Article
Times cited : (6)

References (23)
  • 1
    • 0002931688 scopus 로고
    • Numerical estimation of a probability measure
    • Böhning D. Numerical estimation of a probability measure. J. Statist. Planning Inference 11 (1985) 57-69
    • (1985) J. Statist. Planning Inference , vol.11 , pp. 57-69
    • Böhning, D.1
  • 2
    • 0026522721 scopus 로고
    • Computer assisted analysis of mixtures (c.a.man): statistical algorithms
    • Böhning D., Schlattman P., and Lindsay B.G. Computer assisted analysis of mixtures (c.a.man): statistical algorithms. Biometrics 48 (1992) 283-304
    • (1992) Biometrics , vol.48 , pp. 283-304
    • Böhning, D.1    Schlattman, P.2    Lindsay, B.G.3
  • 3
    • 21144477583 scopus 로고
    • Estimating the number of species: a review
    • Bunge J., and Fitzpatrick M. Estimating the number of species: a review. J. Amer. Statist. Assoc. 88 (1993) 364-373
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 364-373
    • Bunge, J.1    Fitzpatrick, M.2
  • 4
    • 0030304448 scopus 로고    scopus 로고
    • Penalized minimum distance estimates in finite mixture models
    • Chen J., and Kalbfleisch J.D. Penalized minimum distance estimates in finite mixture models. Canad. J. Statist. 2 (1996) 167-176
    • (1996) Canad. J. Statist. , vol.2 , pp. 167-176
    • Chen, J.1    Kalbfleisch, J.D.2
  • 5
    • 0008311333 scopus 로고
    • Maximum likelihood estimation of a mixing distribution
    • DerSimonian R. Maximum likelihood estimation of a mixing distribution. J. Roy. Statist. Soc. Ser. C 35 (1986) 302-309
    • (1986) J. Roy. Statist. Soc. Ser. C , vol.35 , pp. 302-309
    • DerSimonian, R.1
  • 6
    • 0002631876 scopus 로고
    • The relation between the number of species and the number of individuals in a random sample of an animal population
    • Fisher R.A., Corbet A.S., and Williams C.B. The relation between the number of species and the number of individuals in a random sample of an animal population. J. Animal Ecology 12 (1943) 42-58
    • (1943) J. Animal Ecology , vol.12 , pp. 42-58
    • Fisher, R.A.1    Corbet, A.S.2    Williams, C.B.3
  • 7
    • 0000284439 scopus 로고
    • Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters
    • Kiefer J., and Wolfowitz J. Consistency of the maximum likelihood estimator in the presence of infinitely many incidental parameters. Ann. Math. Statist. 27 (1956) 887-906
    • (1956) Ann. Math. Statist. , vol.27 , pp. 887-906
    • Kiefer, J.1    Wolfowitz, J.2
  • 8
    • 84936016001 scopus 로고
    • Nonparametric maximum likelihood estimation of a mixing distribution
    • Laird N.M. Nonparametric maximum likelihood estimation of a mixing distribution. J. Amer. Statist. Assoc. 73 (1978) 805-811
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 805-811
    • Laird, N.M.1
  • 9
    • 21144475085 scopus 로고
    • Consistent estimation of a mixing distribution
    • Leroux B.G. Consistent estimation of a mixing distribution. Ann. Statist. 20 (1992) 1350-1360
    • (1992) Ann. Statist. , vol.20 , pp. 1350-1360
    • Leroux, B.G.1
  • 10
    • 0002630018 scopus 로고
    • An algorithm for computing the nonparametric MLE of a mixing distribution
    • Lesperance M., and Kalbfleisch J.D. An algorithm for computing the nonparametric MLE of a mixing distribution. J. Amer. Statist. Assoc. 87 (1992) 120-126
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 120-126
    • Lesperance, M.1    Kalbfleisch, J.D.2
  • 11
    • 0000525359 scopus 로고
    • The geometry of mixture likelihoods: a general theory
    • Lindsay B.G. The geometry of mixture likelihoods: a general theory. Ann. Statist. 11 (1983) 86-94
    • (1983) Ann. Statist. , vol.11 , pp. 86-94
    • Lindsay, B.G.1
  • 12
    • 33846640467 scopus 로고    scopus 로고
    • Lindsay, B.G., 1995. Mixture models: theory, geometry and applications, vol. 5. Institute of Mathematical Statistics.
  • 13
    • 84988099053 scopus 로고
    • Uniqueness of estimation and identifiability in mixture models
    • Lindsay B.G., and Roeder K. Uniqueness of estimation and identifiability in mixture models. Canad. J. Statist. 87 21 (1993) 139-147
    • (1993) Canad. J. Statist. , vol.87 , Issue.21 , pp. 139-147
    • Lindsay, B.G.1    Roeder, K.2
  • 17
    • 0000251971 scopus 로고
    • Maximum likelihood estimation via the ECM algorithm: a general framework
    • Meng X.-L., and Rubin D.B. Maximum likelihood estimation via the ECM algorithm: a general framework. Biometrika 80 (1993) 267-278
    • (1993) Biometrika , vol.80 , pp. 267-278
    • Meng, X.-L.1    Rubin, D.B.2
  • 18
    • 49849094728 scopus 로고
    • Estimating the size of a truncated sample
    • Sanathanan L. Estimating the size of a truncated sample. J. Amer. Statist. Assoc. 72 (1977) 669-672
    • (1977) J. Amer. Statist. Assoc. , vol.72 , pp. 669-672
    • Sanathanan, L.1
  • 19
    • 0032216916 scopus 로고    scopus 로고
    • Constrained nonparametric maximum-likelihood estimation for mixture models
    • Susko E., Kalbfleisch J.D., and Chen J. Constrained nonparametric maximum-likelihood estimation for mixture models. Canad. J. Statist. 26 (1998) 601-617
    • (1998) Canad. J. Statist. , vol.26 , pp. 601-617
    • Susko, E.1    Kalbfleisch, J.D.2    Chen, J.3
  • 21
    • 0037469106 scopus 로고    scopus 로고
    • Asymptotic theory for maximum likelihood in nonparametric mixture models
    • Van de Geer S. Asymptotic theory for maximum likelihood in nonparametric mixture models. Comput. Statist. Data Anal. 41 (2002) 453-464
    • (2002) Comput. Statist. Data Anal. , vol.41 , pp. 453-464
    • Van de Geer, S.1
  • 22
    • 24644461134 scopus 로고    scopus 로고
    • A penalized nonparametric maximum likelihood approach to species richness estimation
    • Wang J.-P.Z., and Lindsay B.G. A penalized nonparametric maximum likelihood approach to species richness estimation. J. Amer. Statist. Assoc. 100 (2005) 942-959
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 942-959
    • Wang, J.-P.Z.1    Lindsay, B.G.2
  • 23
    • 0014772440 scopus 로고
    • Selection of the valid number of sampling units and a consideration of their combination in toxicological studies involving reproduction, teratogenesis or carcinogenesis
    • Weil C. Selection of the valid number of sampling units and a consideration of their combination in toxicological studies involving reproduction, teratogenesis or carcinogenesis. Food Cosmetics Toxicology 31 (1970) 177-182
    • (1970) Food Cosmetics Toxicology , vol.31 , pp. 177-182
    • Weil, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.