메뉴 건너뛰기




Volumn 59, Issue 1, 2004, Pages 75-97

Consistency of elementwise-weighted total least squares estimator in a multivariate errors-in-variables model AX = B

Author keywords

Consistency; Elementwise weighted total least squares; Iteratively reweighted procedure; Linear errors in variables model

Indexed keywords


EID: 17444414139     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840300272     Document Type: Article
Times cited : (57)

References (15)
  • 1
    • 17444384994 scopus 로고
    • Heteroscedastic errors in a linear functional relationship
    • Chan NN, Mak TK (1984) Heteroscedastic errors in a linear functional relationship. Biometrika, (71):212-215
    • (1984) Biometrika , Issue.71 , pp. 212-215
    • Chan, N.N.1    Mak, T.K.2
  • 3
    • 0027287116 scopus 로고
    • The data least squares problem and channel equalization
    • January
    • Degroat RD, Dowling E (1993) The data least squares problem and channel equalization. IEEE Trans. on Signal Processing, 41(1):407-411, January
    • (1993) IEEE Trans. on Signal Processing , vol.41 , Issue.1 , pp. 407-411
    • Degroat, R.D.1    Dowling, E.2
  • 5
    • 17444394099 scopus 로고
    • Consistency of regression estimates when some variables are subject to error
    • Gallo PP (1982) Consistency of regression estimates when some variables are subject to error. Comm. Statist. B-Theory Methods, (11):967-893
    • (1982) Comm. Statist. B-theory Methods , Issue.11 , pp. 967-1893
    • Gallo, P.P.1
  • 6
    • 0002500224 scopus 로고
    • Estimation in a multivariate "errors in variables" regression model: Large sample results
    • Gleser LJ (1981) Estimation in a multivariate "errors in variables" regression model: Large sample results. Ann. Stat., (9):24-44
    • (1981) Ann. Stat. , Issue.9 , pp. 24-44
    • Gleser, L.J.1
  • 7
    • 0000333571 scopus 로고
    • An analysis of the total least squares problem
    • Golub GH, Van Loan CF (1980) An analysis of the total least squares problem. SIAM J. Numer. Anal., (17):883-893
    • (1980) SIAM J. Numer. Anal. , Issue.17 , pp. 883-893
    • Golub, G.H.1    Van Loan, C.F.2
  • 9
    • 17444368163 scopus 로고
    • On Sprent's generalized least squares estimator
    • Mak TK (1983) On Sprent's generalized least squares estimator. J.R. Statistical Society B, (45), 3:380-383
    • (1983) J.R. Statistical Society B , vol.3 , Issue.45 , pp. 380-383
    • Mak, T.K.1
  • 10
    • 9644310632 scopus 로고    scopus 로고
    • The parametric quadratic form method for solving total least squares problems with elementwise weighting
    • Van Huffel S, Lemmerling P (eds), Kluwer Academic Publishers
    • Premoli A, Rastello ML (2002) The parametric quadratic form method for solving total least squares problems with elementwise weighting. In Van Huffel S, Lemmerling P (eds), Total Least Squares and Errors-in-Variables Modeling: Analysis, Algorithms and Applications. Kluwer Academic Publishers, 67-76
    • (2002) Total Least Squares and Errors-in-variables Modeling: Analysis, Algorithms and Applications , pp. 67-76
    • Premoli, A.1    Rastello, M.L.2
  • 11
    • 51249187914 scopus 로고
    • P(p > 2) spanned by sequences of independent random variables
    • P(p > 2) spanned by sequences of independent random variables. Isr. J. Math. (8):267-303
    • (1970) Isr. J. Math. , Issue.8 , pp. 267-303
    • Rosenthal, H.P.1
  • 13
    • 0000358932 scopus 로고
    • A generalized least-squares approach to linear functional relationships
    • Sprent P (1966) A generalized least-squares approach to linear functional relationships. J.R. Statistical Society B, (28):278-297
    • (1966) J.R. Statistical Society B , Issue.28 , pp. 278-297
    • Sprent, P.1
  • 14
    • 0000173668 scopus 로고
    • Analysis and properties of the generalized total least squares problem AX ≈ B when some or all columns in a are subject to error
    • Van Huffel S, Vandewalle J (1989) Analysis and properties of the generalized total least squares problem AX ≈ B when some or all columns in A are subject to error. SIAM J. Matrix Anal. (10), 3:294-315
    • (1989) SIAM J. Matrix Anal. , vol.3 , Issue.10 , pp. 294-315
    • Van Huffel, S.1    Vandewalle, J.2
  • 15
    • 0003197493 scopus 로고
    • The Total Least Squares Problem: Computational Aspects and Analysis
    • Philadelphia
    • Van Huffel S, Vandewalle J (1991) The Total Least Squares Problem: Computational Aspects and Analysis. SIAM, Philadelphia
    • (1991) SIAM
    • Van Huffel, S.1    Vandewalle, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.