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Volumn 52, Issue 7, 2004, Pages 1915-1929

Minimum variance in biased estimation: Bounds and asymptotically optimal estimators

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; OPTIMIZATION; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS;

EID: 3142775716     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2004.828929     Document Type: Article
Times cited : (66)

References (35)
  • 1
    • 0001300994 scopus 로고
    • Solution of incorrectly formulated problems and the regularization method
    • A. N. Tikhonov, "Solution of incorrectly formulated problems and the regularization method," Soviet. Math. Dokl., vol. 5, pp. 1035-1038, 1963.
    • (1963) Soviet. Math. Dokl. , vol.5 , pp. 1035-1038
    • Tikhonov, A.N.1
  • 3
    • 0024928175 scopus 로고
    • Image reconstruction and restoration: Overview of common estimation structures and problems
    • Dec
    • G. Demoment, "Image reconstruction and restoration: Overview of common estimation structures and problems," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 2024-2036, Dec. 1989.
    • (1989) IEEE Trans. Acoust., Speech, Signal Processing , vol.37 , pp. 2024-2036
    • Demoment, G.1
  • 4
    • 0001105923 scopus 로고
    • Common structure of smoothing techniques in statistics
    • D. M. Titterington, "Common structure of smoothing techniques in statistics," Int. Statist. Rev., vol. 53, pp. 141-170, 1985.
    • (1985) Int. Statist. Rev. , vol.53 , pp. 141-170
    • Titterington, D.M.1
  • 5
    • 84972545853 scopus 로고
    • A statistical perspective on ill-posed inverse problems
    • F. O'Sullivan, "A statistical perspective on ill-posed inverse problems," Statist. Sci., vol. 1, no. 4, pp. 502-527, 1986.
    • (1986) Statist. Sci. , vol.1 , Issue.4 , pp. 502-527
    • O'Sullivan, F.1
  • 7
    • 0029184722 scopus 로고
    • Minimum biased multitaper spectral estimation
    • Jan
    • K. S. Riedel and A. Sidorenko, "Minimum biased multitaper spectral estimation," IEEE Trans. Signal Proc., vol. 43, pp. 188-195, Jan. 1995.
    • (1995) IEEE Trans. Signal Proc. , vol.43 , pp. 188-195
    • Riedel, K.S.1    Sidorenko, A.2
  • 9
    • 84959630572 scopus 로고
    • Minimum variance and the estimation of several parameters
    • C. R. Rao, "Minimum variance and the estimation of several parameters," in Proc. Cambridge Phil. Soc., 1946, pp. 280-283.
    • (1946) Proc. Cambridge Phil. Soc. , pp. 280-283
    • Rao, C.R.1
  • 15
    • 0030215043 scopus 로고    scopus 로고
    • Exploring estimator bias-variance tradeoffs using the uniform CR bound
    • Aug
    • A. O. Hero, J. A. Fessler, and M. Usman, "Exploring estimator bias-variance tradeoffs using the uniform CR bound," IEEE Trans. Signal Processing, vol. 44, pp. 2026-2041, Aug. 1996.
    • (1996) IEEE Trans. Signal Processing , vol.44 , pp. 2026-2041
    • Hero, A.O.1    Fessler, J.A.2    Usman, M.3
  • 16
    • 84942484786 scopus 로고
    • Ridge regression: Biased estimation for nonorthogonal problems
    • Feb
    • A. E. Hoerl and R. W. Kennard, "Ridge regression: Biased estimation for nonorthogonal problems," Technometrics, vol. 12, pp. 55-67, Feb. 1970.
    • (1970) Technometrics , vol.12 , pp. 55-67
    • Hoerl, A.E.1    Kennard, R.W.2
  • 17
    • 84952099094 scopus 로고
    • On biased estimation in linear models
    • Aug
    • L. S. Mayer and T. A. Willke, "On biased estimation in linear models," Technometrics, vol. 15, pp. 497-508, Aug. 1973.
    • (1973) Technometrics , vol.15 , pp. 497-508
    • Mayer, L.S.1    Willke, T.A.2
  • 18
    • 0000451036 scopus 로고
    • Nonparametric roughness penalties for probability densities
    • I. J. Good and R. A. Gaskins, "Nonparametric roughness penalties for probability densities," Biometrika, vol. 58, pp. 255-277, 1971.
    • (1971) Biometrika , vol.58 , pp. 255-277
    • Good, I.J.1    Gaskins, R.A.2
  • 19
    • 3142763902 scopus 로고
    • Density estimation and bump hunting by the penalized likelihood method exemplified by scattering and meteorite data (with discussion and rejoinder)
    • I. J. Good and R. A. Gaskins, "Density estimation and bump hunting by the penalized likelihood method exemplified by scattering and meteorite data (with discussion and rejoinder)," J. Amer. Statist., vol. 10, pp. 811-824, 1980.
    • (1980) J. Amer. Statist. , vol.10 , pp. 811-824
    • Good, I.J.1    Gaskins, R.A.2
  • 20
    • 0027607776 scopus 로고
    • Maximum likelihood, least squares, and penalized least squares for PET
    • June
    • L. Kaufman, "Maximum likelihood, least squares, and penalized least squares for PET," IEEE Trans. Med. Imag., vol. 12, pp. 200-214, June 1993.
    • (1993) IEEE Trans. Med. Imag. , vol.12 , pp. 200-214
    • Kaufman, L.1
  • 21
    • 0029392038 scopus 로고
    • Penalizes maximum-likelihood image reconstruction using space alternating EM algorithms
    • Oct
    • J. A. Fessler and A. O. Hero, "Penalizes maximum-likelihood image reconstruction using space alternating EM algorithms," IEEE Trans. Image Processing, vol. 4, pp. 1417-1425, Oct. 1995.
    • (1995) IEEE Trans. Image Processing , vol.4 , pp. 1417-1425
    • Fessler, J.A.1    Hero, A.O.2
  • 22
    • 0030109465 scopus 로고    scopus 로고
    • Mean and variance of implicity defined biased estimators (such as penalized maximum likelihood): Applications to tomography
    • Mar
    • J. A. Fessler, "Mean and variance of implicity defined biased estimators (such as penalized maximum likelihood): Applications to tomography," IEEE Trans. Image Processing, vol. 5, pp. 493-506, Mar. 1996.
    • (1996) IEEE Trans. Image Processing , vol.5 , pp. 493-506
    • Fessler, J.A.1
  • 23
    • 0031337319 scopus 로고    scopus 로고
    • Penalized maximum-likelihood estimation of covariance matrices with linear structure
    • Dec
    • T. J. Schulz, "Penalized maximum-likelihood estimation of covariance matrices with linear structure," IEEE Trans. Neural Networks, vol. 45, pp. 3027-3038, Dec. 1997.
    • (1997) IEEE Trans. Neural Networks , vol.45 , pp. 3027-3038
    • Schulz, T.J.1
  • 24
    • 0032122727 scopus 로고    scopus 로고
    • Averaging, maximum penalized likelihood and Bayesian estimation for improving Gaussian mixture probability density estimates
    • July
    • D. Ormoneit and V. Tresp, "Averaging, maximum penalized likelihood and Bayesian estimation for improving Gaussian mixture probability density estimates," IEEE Trans. Neural Networks, vol. 9, pp. 639-650, July 1998.
    • (1998) IEEE Trans. Neural Networks , vol.9 , pp. 639-650
    • Ormoneit, D.1    Tresp, V.2
  • 28
    • 0003713964 scopus 로고    scopus 로고
    • Second ed. Belmont, MA: Athena Scientific
    • D. P. Bertsekas, Nonlinear Programming, Second ed. Belmont, MA: Athena Scientific, 1999.
    • (1999) Nonlinear Programming
    • Bertsekas, D.P.1
  • 30
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Mar
    • L. Vandenberghe and S. Boyd, "Semidefinite programming," SIAM Rev., vol. 38, no. 1, pp. 40-95, Mar. 1996.
    • (1996) SIAM Rev. , vol.38 , Issue.1 , pp. 40-95
    • Vandenberghe, L.1    Boyd, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.