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Volumn 27, Issue 12, 1998, Pages 3007-3014

A note on the maximum likelihoood estimators for the location and scatter parameters of a multivariate cauchy distribution

Author keywords

Cauchy distribution; EM algorithm; Iterative reweighting algorithm; Maximum likelihood estimator; Robustness

Indexed keywords


EID: 7044276059     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929808832269     Document Type: Article
Times cited : (7)

References (13)
  • 1
    • 0142081569 scopus 로고
    • Convergence Behavior of the EM algorithm for the multivariate t-distribution
    • ARSLAN, O., CONSTABLE, P.D., and KENT, J.T. (1995) Convergence Behavior of the EM algorithm for the multivariate t-distribution, Commun. Stat-Theory Meth., 24, 2981-3000.
    • (1995) Commun. Stat-Theory Meth. , vol.24 , pp. 2981-3000
    • Arslan, O.1    Constable, P.D.2    Kent, J.T.3
  • 2
    • 0013914157 scopus 로고
    • Evaluation of the maximum-likelihood estimates where the likelihood equation has multiple roots
    • BARNETT, V. D. (1966) Evaluation of the maximum-likelihood estimates where the likelihood equation has multiple roots. Biometrika, 53, 151-165.
    • (1966) Biometrika , vol.53 , pp. 151-165
    • Barnett, V.D.1
  • 3
    • 85042251984 scopus 로고
    • On the unimodality of the likelihood for the Cauchy distribution
    • COPAS, J.B. (1975) On the unimodality of the likelihood for the Cauchy distribution. Biometrika, 62, 701-704.
    • (1975) Biometrika , vol.62 , pp. 701-704
    • Copas, J.B.1
  • 5
    • 0001450392 scopus 로고
    • On the unimodality of the likelihood for the Cauchy distribution: Some comments
    • GABRIELSEN, G. (1982) On the unimodality of the likelihood for the Cauchy distribution: Some comments. Biometrika, 69, 677-678.
    • (1982) Biometrika , vol.69 , pp. 677-678
    • Gabrielsen, G.1
  • 6
    • 0001247961 scopus 로고
    • Maximum likelihood estimation for the wrapped Cauchy distribution
    • KENT, J.T. and TYLER, D. E. (1988) Maximum likelihood estimation for the wrapped Cauchy distribution. Journal of Applied Statistics, 15, 247-255.
    • (1988) Journal of Applied Statistics , vol.15 , pp. 247-255
    • Kent, J.T.1    Tyler, D.E.2
  • 7
    • 0001355237 scopus 로고
    • Redescending M-estimates for multivariate location and Scatter
    • KENT, J.T. and TYLER, D. E. (1991) Redescending M-estimates for multivariate location and Scatter. Annals of Statistics, 19, 2102-2119.
    • (1991) Annals of Statistics , vol.19 , pp. 2102-2119
    • Kent, J.T.1    Tyler, D.E.2
  • 10
    • 0039066809 scopus 로고
    • Asymptotic number of roots of Cauchy location likelihood equations
    • REEDS, J.A. (1985) Asymptotic number of roots of Cauchy location likelihood equations. Annals of Statistics, 13, 775-784.
    • (1985) Annals of Statistics , vol.13 , pp. 775-784
    • Reeds, J.A.1
  • 13
    • 0002210265 scopus 로고
    • On the convergence properties of the EM algorithm
    • WU, C.F.J. (1983) On the convergence properties of the EM algorithm. Annals of Statistics, 11, 95-103.
    • (1983) Annals of Statistics , vol.11 , pp. 95-103
    • Wu, C.F.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.