메뉴 건너뛰기




Volumn 139, Issue 3, 2009, Pages 1118-1133

Minimum Hellinger distance estimation in a nonparametric mixture model

Author keywords

Asymptotic normality; Finite mixture models; Hellinger distance; Kernel estimator; Robust estimator

Indexed keywords


EID: 56949100369     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2008.07.004     Document Type: Article
Times cited : (26)

References (36)
  • 1
    • 0018426274 scopus 로고
    • Multivariate logistic compounds
    • Anderson J.A. Multivariate logistic compounds. Biometrika 66 (1979) 17-26
    • (1979) Biometrika , vol.66 , pp. 17-26
    • Anderson, J.A.1
  • 2
    • 0000204608 scopus 로고
    • Minimum Hellinger distance estimators for parametric models
    • Beran R. Minimum Hellinger distance estimators for parametric models. Ann. Statist. 5 (1977) 445-463
    • (1977) Ann. Statist. , vol.5 , pp. 445-463
    • Beran, R.1
  • 3
    • 21844493268 scopus 로고
    • Optimal rate of convergence in finite mixture models
    • Chen J. Optimal rate of convergence in finite mixture models. Ann. Statist. 23 (1992) 221-234
    • (1992) Ann. Statist. , vol.23 , pp. 221-234
    • Chen, J.1
  • 4
    • 0032326051 scopus 로고    scopus 로고
    • Penalized likelihood-ratio test for finite mixture models with multinomial observations
    • Chen J. Penalized likelihood-ratio test for finite mixture models with multinomial observations. Canad. J. Statist. 26 (1998) 583-599
    • (1998) Canad. J. Statist. , vol.26 , pp. 583-599
    • Chen, J.1
  • 5
    • 56949092411 scopus 로고    scopus 로고
    • Communications in Statistics, 1976. Special Issue on Remote Sensing, vol. A5, no. 12.
    • Communications in Statistics, 1976. Special Issue on Remote Sensing, vol. A5, no. 12.
  • 6
    • 56949106138 scopus 로고    scopus 로고
    • Cordero-Braña, O.I., 1994. Minimum Hellinger distance estimation for finite mixture models. Unpublished Ph.D. dissertation, Utah State University.
    • Cordero-Braña, O.I., 1994. Minimum Hellinger distance estimation for finite mixture models. Unpublished Ph.D. dissertation, Utah State University.
  • 7
    • 0030343091 scopus 로고    scopus 로고
    • Minimum Hellinger distance estimation for finite mixture models
    • Cutler A., and Cordero-Braña O.I. Minimum Hellinger distance estimation for finite mixture models. J. Amer. Statist. Assoc. 91 (1996) 1716-1723
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1716-1723
    • Cutler, A.1    Cordero-Braña, O.I.2
  • 9
    • 0345870197 scopus 로고
    • 1 convergence of kernel density estimates
    • 1 convergence of kernel density estimates. Ann. Statist. 7 (1979) 1136-1139
    • (1979) Ann. Statist. , vol.7 , pp. 1136-1139
    • Devroye, L.P.1    Wagner, T.J.2
  • 10
    • 0000172045 scopus 로고
    • The "automatic" robustness of minimum distance functionals
    • Donoho D.L., and Liu R.C. The "automatic" robustness of minimum distance functionals. Ann. Statist. 16 (1988) 552-586
    • (1988) Ann. Statist. , vol.16 , pp. 552-586
    • Donoho, D.L.1    Liu, R.C.2
  • 11
    • 56949106421 scopus 로고    scopus 로고
    • Fernholz, L., 1983. Von Mises calculus for statistical functionals. Lecture Notes in Statistics, vol. 19, Springer, New York.
    • Fernholz, L., 1983. Von Mises calculus for statistical functionals. Lecture Notes in Statistics, vol. 19, Springer, New York.
  • 12
    • 0001536105 scopus 로고
    • On the nonparametric estimation of mixture proportions
    • Hall P. On the nonparametric estimation of mixture proportions. J. Roy. Statist. Soc. B 43 (1981) 147-156
    • (1981) J. Roy. Statist. Soc. B , vol.43 , pp. 147-156
    • Hall, P.1
  • 13
    • 34548761300 scopus 로고
    • Orthogonal series distribution function estimation, with applications
    • Hall P. Orthogonal series distribution function estimation, with applications. J. Roy. Statist. Soc. B 45 (1983) 81-88
    • (1983) J. Roy. Statist. Soc. B , vol.45 , pp. 81-88
    • Hall, P.1
  • 14
    • 0001217805 scopus 로고
    • Efficient nonparametric estimation of mixture proportions
    • Hall P., and Titterington D.M. Efficient nonparametric estimation of mixture proportions. J. Roy. Statist. Soc. B 46 (1984) 465-473
    • (1984) J. Roy. Statist. Soc. B , vol.46 , pp. 465-473
    • Hall, P.1    Titterington, D.M.2
  • 15
    • 0001340473 scopus 로고
    • A general qualitative definition of robustness
    • Hampel F. A general qualitative definition of robustness. Ann. Math. Statist. 42 (1971) 1887-1896
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1887-1896
    • Hampel, F.1
  • 16
    • 0001230939 scopus 로고
    • A comparison of iterative maximum likelihood estimates of the parameters of a mixture of two normal distributions under three types of samples
    • Hosmer D.W. A comparison of iterative maximum likelihood estimates of the parameters of a mixture of two normal distributions under three types of samples. Biometrics 29 (1973) 761-770
    • (1973) Biometrics , vol.29 , pp. 761-770
    • Hosmer, D.W.1
  • 17
    • 0032576467 scopus 로고    scopus 로고
    • Minimum Hellinger distance estimation for Poisson mixtures
    • Karlis D., and Xekalaki E. Minimum Hellinger distance estimation for Poisson mixtures. Comput. Statis. Data Anal. 29 (1998) 81-103
    • (1998) Comput. Statis. Data Anal. , vol.29 , pp. 81-103
    • Karlis, D.1    Xekalaki, E.2
  • 18
    • 56949104873 scopus 로고    scopus 로고
    • Karunamuni, R.J., Wu, J., 2007. Minimum Hellinger distance estimation in a nonparametric mixture model. Technical Report, University of Alberta.
    • Karunamuni, R.J., Wu, J., 2007. Minimum Hellinger distance estimation in a nonparametric mixture model. Technical Report, University of Alberta.
  • 19
    • 0011652314 scopus 로고
    • Efficiency versus robustness the case for minimum Hellinger distance and related methods
    • Lindsay B.G. Efficiency versus robustness the case for minimum Hellinger distance and related methods. Ann. Statist. 22 (1994) 1081-1114
    • (1994) Ann. Statist. , vol.22 , pp. 1081-1114
    • Lindsay, B.G.1
  • 20
    • 56949084366 scopus 로고    scopus 로고
    • Lindsay, B.G., 1995. Mixture models: theory, geometry and applications. In: NSF-CBMS Regional Conference Series in Probability and Statistics, IMS, Hayward, CA, USA.
    • Lindsay, B.G., 1995. Mixture models: theory, geometry and applications. In: NSF-CBMS Regional Conference Series in Probability and Statistics, IMS, Hayward, CA, USA.
  • 21
    • 0346733297 scopus 로고    scopus 로고
    • Minimum Hellinger distance estimation for finite mixtures of Poisson regression models and its applications
    • Lu Z., Hui Y.V., and Lee A.H. Minimum Hellinger distance estimation for finite mixtures of Poisson regression models and its applications. Biometrics 59 (2003) 1016-1026
    • (2003) Biometrics , vol.59 , pp. 1016-1026
    • Lu, Z.1    Hui, Y.V.2    Lee, A.H.3
  • 23
    • 0033236909 scopus 로고    scopus 로고
    • Empirical likelihood ratio based confidence intervals for mixture proportions
    • Qin J. Empirical likelihood ratio based confidence intervals for mixture proportions. Ann. Statist. 27 (1999) 1368-1384
    • (1999) Ann. Statist. , vol.27 , pp. 1368-1384
    • Qin, J.1
  • 24
    • 84885933908 scopus 로고
    • Alternatives to the median absolute deviation
    • Rousseeuw P.J., and Croux C. Alternatives to the median absolute deviation. J. Amer. Statist. Assoc. 88 (1993) 1273-1283
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 1273-1283
    • Rousseeuw, P.J.1    Croux, C.2
  • 26
    • 0035419755 scopus 로고    scopus 로고
    • Parametric statistical modeling by minimum integrated square error
    • Scott D.W. Parametric statistical modeling by minimum integrated square error. Technometrics 43 (2001) 274-285
    • (2001) Technometrics , vol.43 , pp. 274-285
    • Scott, D.W.1
  • 27
    • 0000167105 scopus 로고
    • Minimum Hellinger distance estimation for the analysis of count data
    • Simpson D.G. Minimum Hellinger distance estimation for the analysis of count data. J. Amer. Statist. Assoc. 82 (1987) 802-807
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 802-807
    • Simpson, D.G.1
  • 28
    • 0042760476 scopus 로고    scopus 로고
    • Minimum Hellinger distance estimation for supercritical Galton-Watson processes
    • Sriram T.N., and Vidyashankar A.N. Minimum Hellinger distance estimation for supercritical Galton-Watson processes. Statist. Probab. Lett. 50 (2000) 331-342
    • (2000) Statist. Probab. Lett. , vol.50 , pp. 331-342
    • Sriram, T.N.1    Vidyashankar, A.N.2
  • 29
    • 84950915739 scopus 로고
    • Minimum Hellinger distance estimation for multivariate location and covariance
    • Tamura R.N., and Boos D.D. Minimum Hellinger distance estimation for multivariate location and covariance. J. Amer. Statist. Assoc. 81 (1986) 223-229
    • (1986) J. Amer. Statist. Assoc. , vol.81 , pp. 223-229
    • Tamura, R.N.1    Boos, D.D.2
  • 30
    • 0004096410 scopus 로고
    • Minimum distance nonparametric estimation of mixture proportions
    • Titterington D.M. Minimum distance nonparametric estimation of mixture proportions. J. Roy. Statist. Soc. B 45 (1983) 37-46
    • (1983) J. Roy. Statist. Soc. B , vol.45 , pp. 37-46
    • Titterington, D.M.1
  • 32
    • 33846071710 scopus 로고    scopus 로고
    • Robust estimation of mixture complexity
    • Woo M.-J., and Sriram T.N. Robust estimation of mixture complexity. J. Amer. Statist. Assoc. 101 (2006) 1475-1486
    • (2006) J. Amer. Statist. Assoc. , vol.101 , pp. 1475-1486
    • Woo, M.-J.1    Sriram, T.N.2
  • 34
    • 0038876639 scopus 로고
    • Minimum Hellinger distance estimation of parameter in the random censorship model
    • Yang S. Minimum Hellinger distance estimation of parameter in the random censorship model. Ann. Statist. 19 (1991) 579-602
    • (1991) Ann. Statist. , vol.19 , pp. 579-602
    • Yang, S.1
  • 35
    • 21144473443 scopus 로고
    • Minimum Hellinger-type distance estimation for censored data
    • Ying Z. Minimum Hellinger-type distance estimation for censored data. Ann. Statist. 20 (1992) 1361-1390
    • (1992) Ann. Statist. , vol.20 , pp. 1361-1390
    • Ying, Z.1
  • 36
    • 0036810845 scopus 로고    scopus 로고
    • An EM algorithm for a semiparametric finite mixture model
    • Zhang B. An EM algorithm for a semiparametric finite mixture model. J. Statist. Comput. Simul. 72 (2002) 791-802
    • (2002) J. Statist. Comput. Simul. , vol.72 , pp. 791-802
    • Zhang, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.