메뉴 건너뛰기




Volumn 56, Issue 3, 2008, Pages 895-908

Maximum-likelihood estimation, the Cramér-Rao bound, and the method of scoring with parameter constraints

Author keywords

Asymptotic normality; Cram r Rao bound; Iterative methods; Maximum likelihood (ML); Method of scoring; Optimization; Parameter estimation; Parametric constraints

Indexed keywords

ASYMPTOTIC ANALYSIS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; CRAMER-RAO BOUNDS; ITERATIVE METHODS; MAXIMUM LIKELIHOOD ESTIMATION;

EID: 40749153100     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.907814     Document Type: Article
Times cited : (75)

References (33)
  • 1
    • 0025517126 scopus 로고
    • Lower bounds for parametric estimation with constraints
    • Nov
    • J. D. Gorman and A. O. Hero, "Lower bounds for parametric estimation with constraints," IEEE Trans. Inf. Theory, vol. 26, no. 6, pp. 1285-1301, Nov. 1990.
    • (1990) IEEE Trans. Inf. Theory , vol.26 , Issue.6 , pp. 1285-1301
    • Gorman, J.D.1    Hero, A.O.2
  • 2
    • 0027607799 scopus 로고
    • A simple derivation of the constrained multiple parameter Cramer-Rao bound
    • Jun
    • T. L. Marzetta, "A simple derivation of the constrained multiple parameter Cramer-Rao bound," IEEE Trans. Signal Process., vol. 41, no. 6, pp. 2247-2249, Jun. 1993.
    • (1993) IEEE Trans. Signal Process , vol.41 , Issue.6 , pp. 2247-2249
    • Marzetta, T.L.1
  • 3
    • 0032123107 scopus 로고    scopus 로고
    • On the Cramér-Rao bound under parametric constraints
    • Jul
    • P. Stoica and B. C. Ng, "On the Cramér-Rao bound under parametric constraints," IEEE Signal Process. Lett., vol. 5, no. 7, pp. 177-179, Jul. 1998.
    • (1998) IEEE Signal Process. Lett , vol.5 , Issue.7 , pp. 177-179
    • Stoica, P.1    Ng, B.C.2
  • 5
    • 51249181748 scopus 로고    scopus 로고
    • M. Crowder, On constrained maximum likelihood estimation with non-i.i.d. observations, Ann. Inst. Stat. Math., 36, pt. A, pp. 239-249, 1984.
    • M. Crowder, "On constrained maximum likelihood estimation with non-i.i.d. observations," Ann. Inst. Stat. Math., vol. 36, pt. A, pp. 239-249, 1984.
  • 6
    • 9744225943 scopus 로고    scopus 로고
    • Scoring with constraints
    • Jul
    • M. R. Osborne, "Scoring with constraints," ANZIAM J., vol. 42, no. 1, pp. 9-25, Jul. 2000.
    • (2000) ANZIAM J , vol.42 , Issue.1 , pp. 9-25
    • Osborne, M.R.1
  • 7
    • 0041055966 scopus 로고
    • Fisher's method of scoring
    • M. R. Osborne, "Fisher's method of scoring," Int. Stat. Rev., vol. 60, pp. 99-117, 1992.
    • (1992) Int. Stat. Rev , vol.60 , pp. 99-117
    • Osborne, M.R.1
  • 9
    • 0034298480 scopus 로고    scopus 로고
    • Maximum likelihood separation of constant modulus signals
    • Oct
    • A. Leshem, "Maximum likelihood separation of constant modulus signals," IEEE Trans. Signal Process., vol. 48, no. 10, pp. 2948-2952, Oct. 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.10 , pp. 2948-2952
    • Leshem, A.1
  • 10
    • 0001091851 scopus 로고
    • Maximum-likelihood estimation of parameters subject to restraints
    • J. Aitchison and S. D. Silvey, "Maximum-likelihood estimation of parameters subject to restraints," Ann. Math. Statist., vol. 29, pp. 813-828, 1958.
    • (1958) Ann. Math. Statist , vol.29 , pp. 813-828
    • Aitchison, J.1    Silvey, S.D.2
  • 11
    • 0038569061 scopus 로고
    • Maximum-likelihood estimation procedures and associated tests of significance
    • J. Aitchison and S. D. Silvey, "Maximum-likelihood estimation procedures and associated tests of significance," J. R. Stat. Soc. B vol. 22, pp. 154-71, 1960.
    • (1960) J. R. Stat. Soc. B , vol.22 , pp. 154-171
    • Aitchison, J.1    Silvey, S.D.2
  • 12
    • 34250293137 scopus 로고
    • A globally convergent method for nonlinear programming
    • S. P. Han, "A globally convergent method for nonlinear programming," J. Optim. Theory Appl., vol. 22, pp. 297-309, 1977.
    • (1977) J. Optim. Theory Appl , vol.22 , pp. 297-309
    • Han, S.P.1
  • 13
    • 33747369848 scopus 로고    scopus 로고
    • Numerical algorithms for constrained maximum likelihood estimation
    • Z. F. Li, M. R. Osborne, and T. Prvan, "Numerical algorithms for constrained maximum likelihood estimation," ANZIAM J., vol. 45, pp. 91-114, 2003.
    • (2003) ANZIAM J , vol.45 , pp. 91-114
    • Li, Z.F.1    Osborne, M.R.2    Prvan, T.3
  • 14
    • 1142304590 scopus 로고    scopus 로고
    • On algorithms for restricted maximum likelihood estimation
    • M. Jamshidian, "On algorithms for restricted maximum likelihood estimation," Comput. Stat. Data Anal., vol. 45, pp. 137-157, 2004.
    • (2004) Comput. Stat. Data Anal , vol.45 , pp. 137-157
    • Jamshidian, M.1
  • 16
    • 40749098662 scopus 로고    scopus 로고
    • B. M. Sadler, R. J. Kozick, and T. J. Moore, On the performance of source separation with constant modulus signals, Army Research Lab, Adelphi, MD, Tech. Rep. ARL-TR-3462, Mar. 2005.
    • B. M. Sadler, R. J. Kozick, and T. J. Moore, "On the performance of source separation with constant modulus signals," Army Research Lab, Adelphi, MD, Tech. Rep. ARL-TR-3462, Mar. 2005.
  • 20
    • 0030837254 scopus 로고    scopus 로고
    • On identifiability and information-regularity in parameterized normal distributions
    • B. Hochwald and A. Nehorai, "On identifiability and information-regularity in parameterized normal distributions," Circuits, Syst., Signal Process., vol. 16, no. 1, pp. 83-89, 1997.
    • (1997) Circuits, Syst., Signal Process , vol.16 , Issue.1 , pp. 83-89
    • Hochwald, B.1    Nehorai, A.2
  • 21
    • 0035120825 scopus 로고    scopus 로고
    • Parameter estimation problems with singular information matrices
    • Jan
    • P. Stoica and T. L. Marzetta, "Parameter estimation problems with singular information matrices," IEEE Trans. Signal Process., vol. 49, no. 1, pp. 87-90, Jan. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.1 , pp. 87-90
    • Stoica, P.1    Marzetta, T.L.2
  • 22
    • 34547881911 scopus 로고    scopus 로고
    • The constrained Cramer-Rao bound from the perspective of fitting a model
    • Aug
    • T. Moore, R. Kozick, and B. Sadler, "The constrained Cramer-Rao bound from the perspective of fitting a model," IEEE Signal Process. Lett. vol. 14, no. 8, pp. 564-567, Aug. 2007.
    • (2007) IEEE Signal Process. Lett , vol.14 , Issue.8 , pp. 564-567
    • Moore, T.1    Kozick, R.2    Sadler, B.3
  • 23
    • 0002758064 scopus 로고
    • A note on a MANOVA model applied to problems in growth curve
    • C. G. Khatri, "A note on a MANOVA model applied to problems in growth curve," Ann. Inst. Stat. Math., vol. 18, pp. 75-86, 1966.
    • (1966) Ann. Inst. Stat. Math , vol.18 , pp. 75-86
    • Khatri, C.G.1
  • 24
    • 40749111542 scopus 로고    scopus 로고
    • T. Moore and B. Sadler, Maximum-likelihood estimation and scoring under parametric constraints, Army Research Lab, Aldelphi, MD, Tech. Rep. ARL-TR-3805, May 2006.
    • T. Moore and B. Sadler, "Maximum-likelihood estimation and scoring under parametric constraints," Army Research Lab, Aldelphi, MD, Tech. Rep. ARL-TR-3805, May 2006.
  • 28
    • 0035423620 scopus 로고    scopus 로고
    • Asymptotic properties of the algebraic constant modulus algorithm
    • Aug
    • A.-J. van der Veen, "Asymptotic properties of the algebraic constant modulus algorithm," IEEE Trans. Signal Process., vol. 49, no. 8, pp. 1796-1807, Aug. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.8 , pp. 1796-1807
    • van der Veen, A.-J.1
  • 30
    • 84966240089 scopus 로고
    • Convex programming in Hilbert space
    • A. A. Goldstein, "Convex programming in Hilbert space," Bull. Amer. Math. Soc., vol. 70, no. 5, pp. 709-710, 1964.
    • (1964) Bull. Amer. Math. Soc , vol.70 , Issue.5 , pp. 709-710
    • Goldstein, A.A.1
  • 33
    • 0036685491 scopus 로고    scopus 로고
    • Regularity and strict identifiability in MIMO systems
    • Aug
    • T. J. Moore, B. M. Sadler, and R. J. Kozick, "Regularity and strict identifiability in MIMO systems," IEEE Trans. Signal Process., vol. 50, no. 8, pp. 1831-1842, Aug. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.8 , pp. 1831-1842
    • Moore, T.J.1    Sadler, B.M.2    Kozick, R.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.