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Volumn 17, Issue 2, 2000, Pages 273-296

Identifiability of models for clusterwise linear regression

Author keywords

Change point problem; Fixed partition model; Gaussian mixtures with covariates; Mixture model; Partial identifiability; Switching regression

Indexed keywords


EID: 0034340248     PISSN: 01764268     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003570000022     Document Type: Article
Times cited : (186)

References (30)
  • 1
    • 0001410799 scopus 로고
    • Strong consistency of least squares estimates in normal linear regression
    • ANDERSON, T. W., and TAYLOR, J. B. (1976), "Strong consistency of least squares estimates in normal linear regression", Annals of Statistics, 4, 788-790.
    • (1976) Annals of Statistics , vol.4 , pp. 788-790
    • Anderson, T.W.1    Taylor, J.B.2
  • 2
    • 0017826298 scopus 로고
    • Asymptotic behavior of classification maximum likelihood estimators
    • BRYANT, P. G., and WILLIAMSON, J. A. (1978), "Asymptotic Behavior of Classification Maximum Likelihood Estimators", Biometrika, 65, 273-281.
    • (1978) Biometrika , vol.65 , pp. 273-281
    • Bryant, P.G.1    Williamson, J.A.2
  • 3
    • 0000341249 scopus 로고
    • On the mixtures of probability distributions
    • CHANDRA, S. (1977), "On the mixtures of probability distributions", Scandinavian Journal of Statistics, 4, 105-112.
    • (1977) Scandinavian Journal of Statistics , vol.4 , pp. 105-112
    • Chandra, S.1
  • 4
    • 21844493268 scopus 로고
    • Optimal rate of convergence for finite mixture models
    • CHEN, J. (1995), "Optimal rate of convergence for finite mixture models", Annals of Statistics, 23, 221-233.
    • (1995) Annals of Statistics , vol.23 , pp. 221-233
    • Chen, J.1
  • 5
    • 0001237218 scopus 로고
    • A maximum likelihood methodology for clusterwise linear regression
    • DESARBO, W. S., and CRON, W. L. (1988), "A maximum likelihood methodology for clusterwise linear regression", Journal of Classification, 5, 249-282.
    • (1988) Journal of Classification , vol.5 , pp. 249-282
    • Desarbo, W.S.1    Cron, W.L.2
  • 7
    • 0001223336 scopus 로고
    • Methods of estimation for markets in disequilibrium
    • FAIR, R. C., and JAFFEE, D. M. (1972), "Methods of Estimation for Markets in Disequilibrium", Econometrica, 40, 497-514.
    • (1972) Econometrica , vol.40 , pp. 497-514
    • Fair, R.C.1    Jaffee, D.M.2
  • 9
    • 0025046028 scopus 로고
    • Application of the theory of finite mixtures for the estimation of 'cure' rates of treated cancer patients
    • GORDON, N. H. (1990), "Application of the theory of finite mixtures for the estimation of 'cure' rates of treated cancer patients, Statistics in Medicine, 9, 397-407.
    • (1990) Statistics in Medicine , vol.9 , pp. 397-407
    • Gordon, N.H.1
  • 10
    • 0002514852 scopus 로고    scopus 로고
    • Models and methods for clusterwise linear regression
    • ed. W. Gaul, and H. Locarek-Junge, Heidelberg: Springer-Verlag
    • HENNIG, C. (1999), "Models and Methods for Clusterwise Linear Regression", in Classification in the Information Age, ed. W. Gaul, and H. Locarek-Junge, Heidelberg: Springer-Verlag, 179-187.
    • (1999) Classification in the Information Age , pp. 179-187
    • Hennig, C.1
  • 12
    • 84963154792 scopus 로고
    • Maximum likelihood estimates of the parameters of a mixture of two regression lines
    • HOSMER, D. W. jr. (1974), "Maximum Likelihood estimates of the parameters of a mixture of two regression lines", Communications in Statistics, 3, 995-1006.
    • (1974) Communications in Statistics , vol.3 , pp. 995-1006
    • Hosmer D.W., Jr.1
  • 13
    • 0002285640 scopus 로고
    • Minimum distance estimations in a switching regression model
    • HUANG, W.-T., and PAO, K.-M. (1991), "Minimum Distance Estimations in a Switching Regression Model", Information and Management Sciences, 2, 119-128.
    • (1991) Information and Management Sciences , vol.2 , pp. 119-128
    • Huang, W.-T.1    Pao, K.-M.2
  • 14
    • 0000986174 scopus 로고
    • A least squares procedure for benefit segmentation with conjoint experiments
    • KAMARKURA, W. (1988), "A least squares procedure for benefit segmentation with conjoint experiments", Journal of Marketing Research, 25, 157-167.
    • (1988) Journal of Marketing Research , vol.25 , pp. 157-167
    • Kamarkura, W.1
  • 15
    • 0001740155 scopus 로고
    • On the complexity of approximating extremal determinants in matrices
    • KHACHIYAN, L. (1995), "On the complexity of approximating extremal determinants in matrices", Journal of Complexity, 11, 138-153.
    • (1995) Journal of Complexity , vol.11 , pp. 138-153
    • Khachiyan, L.1
  • 16
    • 0000284439 scopus 로고
    • Consistency of the maximum likelihood estimator in the presence of infinitely many nuisance parameters
    • KIEFER, J., and WOLFOWITZ, J. (1956), "Consistency of the maximum likelihood estimator in the presence of infinitely many nuisance parameters", Annals of Mathematical Statistics, 27, 887-906.
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 887-906
    • Kiefer, J.1    Wolfowitz, J.2
  • 17
    • 0001213803 scopus 로고
    • Discrete parameter variation: Efficient estimation of a switching regression model
    • KIEFER, N. M. (1978), "Discrete Parameter Variation: Efficient Estimation of a Switching Regression Model", Econometrica, 46, 427-434.
    • (1978) Econometrica , vol.46 , pp. 427-434
    • Kiefer, N.M.1
  • 18
    • 0001723210 scopus 로고
    • Mixtures of distributions: A topological approach
    • LI, L. A., and SEDRANSK, N. (1988), "Mixtures of distributions: A topological approach", Annals of Statistics, 16, 1623-1634.
    • (1988) Annals of Statistics , vol.16 , pp. 1623-1634
    • Li, L.A.1    Sedransk, N.2
  • 20
    • 0016813047 scopus 로고
    • Separating mixtures of normal distributions
    • MARRIOTT, F. H. C. (1975), "Separating mixtures of normal distributions", Biometrics, 31, 767-769.
    • (1975) Biometrics , vol.31 , pp. 767-769
    • Marriott, F.H.C.1
  • 21
    • 0002182406 scopus 로고
    • Die Nichtkonsistenz der ML-Schätzer im switching regression-problem
    • OBERHOFER, W. (1980), "Die Nichtkonsistenz der ML-Schätzer im Switching Regression-Problem", Metrika, 27, 1-13.
    • (1980) Metrika , vol.27 , pp. 1-13
    • Oberhofer, W.1
  • 23
    • 84950321853 scopus 로고
    • Estimating mixtures of normal distributions and switching regressions
    • QUANDT, R. E., and RAMSEY, J. B. (1978), "Estimating Mixtures of Normal Distributions and Switching Regressions", Journal of the American Statistical Association, 73, 730-752.
    • (1978) Journal of the American Statistical Association , vol.73 , pp. 730-752
    • Quandt, R.E.1    Ramsey, J.B.2
  • 24
    • 0000922853 scopus 로고
    • A note on the consistency of the maximum likelihood estimate for non-identifiable distributions
    • REDNER, R. (1981), "A note on the consistency of the maximum likelihood estimate for non-identifiable distributions", Annals of Statistics, 9, 225-228.
    • (1981) Annals of Statistics , vol.9 , pp. 225-228
    • Redner, R.1
  • 28
    • 0001500587 scopus 로고
    • A clusterwise regression method for simultaneous fuzzy market structuring and benefit segmentation
    • WEDEL, M., and STEENKAMP, J.-B. E. M. (1991), "A clusterwise regression method for simultaneous fuzzy market structuring and benefit segmentation", Journal of Marketing Research, 28, 385-396.
    • (1991) Journal of Marketing Research , vol.28 , pp. 385-396
    • Wedel, M.1    Steenkamp, J.-B.E.M.2
  • 29
    • 0000411615 scopus 로고
    • A consistent estimator for the identification of finite mixtures
    • YAKOWITZ, S. J. (1969), "A consistent estimator for the identification of finite mixtures", Annals of Mathematical Statistics, 40, 1728-1735.
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 1728-1735
    • Yakowitz, S.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.