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Volumn 34, Issue 4, 1988, Pages 722-729

On the Existence of Positive-Definite Maximum-Likelihood Estimates of Structured Covariance Matrices

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY--RANDOM PROCESSES;

EID: 0024035344     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.9771     Document Type: Article
Times cited : (33)

References (13)
  • 1
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    • Estimation of structured covariance matrices
    • Sept.
    • J. Burg, D. Luenberger, and D. Wenger, "Estimation of structured covariance matrices," Proc. IEEE, vol. 70, pp. 963-974, Sept. 1982.
    • (1982) Proc. IEEE , vol.70 , pp. 963-974
    • Burg, J.1    Luenberger, D.2    Wenger, D.3
  • 2
    • 0042894013 scopus 로고
    • Estimation of covariance matrices which are linear combinations or whose inverses are linear combinations of given matrices
    • T. Anderson, "Estimation of covariance matrices which are linear combinations or whose inverses are linear combinations of given matrices," in Essays in Probability and Statistics, R. C. Bose et al., Eds. Chapel Hill, NC: Univ. of North Carolina Press, 1970, pp. 1-24.
    • (1970) Essays in Probability and Statistics , pp. 1-24
    • Anderson, T.1
  • 4
    • 84941455287 scopus 로고
    • Fast Eigenvector methods for digital signal processing
    • Ph.D. dissertation Princeton, NJ
    • D. Fuhrmann, "Fast Eigenvector methods for digital signal processing," Ph.D. dissertation, Princeton Univ., Princeton, NJ, 1984.
    • (1984) Princeton Univ.
    • Fuhrmann, D.1
  • 5
    • 0023383312 scopus 로고
    • The role of likelihood and entropy in incomplete-data problems: Applications to estimating point-process intensities and Toeplitz constrained covariances
    • July
    • M. Miller and D. Snyder, "The role of likelihood and entropy in incomplete-data problems: Applications to estimating point-process intensities and Toeplitz constrained covariances," Proc. IEEE, vol. 70, pp. 892-907, July 1987.
    • (1987) Proc. IEEE , vol.70 , pp. 892-907
    • Miller, M.1    Snyder, D.2
  • 6
    • 84941487313 scopus 로고
    • An alternating maximization of the entropy/likelihood function for image reconstruction and spectrum estimation
    • Aug.
    • "An alternating maximization of the entropy/likelihood function for image reconstruction and spectrum estimation," in Proc. SPIE, San Diego, CA, Aug. 1986.
    • (1986) Proc. SPIE
  • 7
    • 84941427410 scopus 로고    scopus 로고
    • Embedding non-negative definite Toeplitz matrices in non-negative definite circulant matrices, with application to covariance estimation
    • A. Dembo, C. Mallows, and L. Shepp, "Embedding non-negative definite Toeplitz matrices in non-negative definite circulant matrices, with application to covariance estimation," preprint.
    • preprint.
    • Dembo, A.1    Mallows, C.2    Shepp, L.3
  • 8
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • A Dempster, N. Laird, and D. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Statist. Soc., vol. B-39, pp. 1-37, 1977.
    • (1977) J. Roy. Statist. Soc. , vol.B-39 , pp. 1-37
    • Dempster, A.1    Laird, N.2    Rubin, D.3
  • 9
    • 0004117648 scopus 로고    scopus 로고
    • Toeplitz and circulant matrices II
    • Stanford, CA, Tech. Rep. 6504-1
    • R. Gray, "Toeplitz and circulant matrices II," Stanford Univ. Information Systems Lab., Stanford, CA, Tech. Rep. 6504-1.
    • Stanford Univ. Information Systems Lab.
    • Gray, R.1
  • 10
    • 0000451036 scopus 로고
    • Nonparametric roughness penalties for probability densities
    • I. Good and R. Gaskins, "Nonparametric roughness penalties for probability densities," Biometrika, vol. 58-2, pp. 255-277, 1971.
    • (1971) Biometrika , vol.58 , pp. 255-277
    • Good, I.1    Gaskins, R.2
  • 13
    • 0001414599 scopus 로고
    • Nonparametric maximum likelihood estimation by the method of sieves
    • S. Geman and C.-R. Hwang, "Nonparametric maximum likelihood estimation by the method of sieves," Ann. Statist., vol. 10-2, pp. 401-414, 1982.
    • (1982) Ann. Statist. , vol.10 , pp. 401-414
    • Geman, S.1    Hwang, C.-R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.