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Volumn 81, Issue 9, 2007, Pages 593-602

Estimability analysis of variance and covariance components

Author keywords

Estimability; Restricted maximum likelihood; Variance and covariance components

Indexed keywords

COVARIANCE ANALYSIS; MAXIMUM LIKELIHOOD ANALYSIS; VARIANCE ANALYSIS;

EID: 34548274570     PISSN: 09497714     EISSN: 14321394     Source Type: Journal    
DOI: 10.1007/s00190-006-0122-0     Document Type: Article
Times cited : (56)

References (42)
  • 3
    • 0040927844 scopus 로고
    • The use of the analysis of variance analysis in enumeration by sampling
    • Cochran WG (1939) The use of the analysis of variance analysis in enumeration by sampling. J Am statt Assoc 34:492-510
    • (1939) J Am Statt Assoc , vol.34 , pp. 492-510
    • Cochran, W.G.1
  • 4
    • 0033765080 scopus 로고    scopus 로고
    • Simplified formulae for the BIQUE estimation of variance components in disjunctive observation groups
    • Crocetto N, Gatti M, Russo P (2000) Simplified formulae for the BIQUE estimation of variance components in disjunctive observation groups. J Geod 74:447-457
    • (2000) J Geod , vol.74 , pp. 447-457
    • Crocetto, N.1    Gatti, M.2    Russo, P.3
  • 6
    • 0347134788 scopus 로고
    • The estimation of components of variance
    • Daniels HE (1939) The estimation of components of variance. J R stat Soc 6(supplement):186-197
    • (1939) J R Stat Soc 6 , Issue.SUPPL. , pp. 186-197
    • Daniels, H.E.1
  • 7
    • 0010816533 scopus 로고
    • Schätzung von Varianz und Kovarianz der Beobachtungen in geodätischen Ausgleichungsmodellen
    • Grafarend EW (1978) Schätzung von Varianz und Kovarianz der Beobachtungen in geodätischen Ausgleichungsmodellen. AVN 85:41-49
    • (1978) AVN , vol.85 , pp. 41-49
    • Grafarend, E.W.1
  • 8
    • 0013263849 scopus 로고
    • Variance-covariance component estimation: Theoretical results and geodetic applications
    • Grafarend EW (1985) Variance-covariance component estimation: theoretical results and geodetic applications. Stat Decis 4:407-441
    • (1985) Stat Decis , vol.4 , pp. 407-441
    • Grafarend, E.W.1
  • 9
    • 0000104653 scopus 로고
    • Equivalence of estimable quantities and invariance in geodetic networks
    • Grafarend E, Schaffrin B (1976) Equivalence of estimable quantities and invariance in geodetic networks. Z Vermess 101: 485-491
    • (1976) Z Vermess , vol.101 , pp. 485-491
    • Grafarend, E.1    Schaffrin, B.2
  • 10
    • 0001186331 scopus 로고
    • An introduction to the variance-covariance-component estimation of Helmert type
    • Grafarend EW, Kleusberg A, Schaffrin B (1980) An introduction to the variance-covariance-component estimation of Helmert type. Z Vermess 105:161-180
    • (1980) Z Vermess , vol.105 , pp. 161-180
    • Grafarend, E.W.1    Kleusberg, A.2    Schaffrin, B.3
  • 11
    • 0000420870 scopus 로고
    • A reparameterization to improve numerical optimization in multivariate REML (co)variance component estimation
    • Groeneveld E (1994) A reparameterization to improve numerical optimization in multivariate REML (co)variance component estimation. Genet Sel Evol 26:537-545
    • (1994) Genet Sel Evol , vol.26 , pp. 537-545
    • Groeneveld, E.1
  • 12
    • 0014099014 scopus 로고
    • Maximum-likelihood estimation for the mixed analysis of variance model
    • Hartley HO, Rao JNK (1967) Maximum-likelihood estimation for the mixed analysis of variance model. Biometrika 54:93-108
    • (1967) Biometrika , vol.54 , pp. 93-108
    • Hartley, H.O.1    Rao, J.N.K.2
  • 14
    • 0001421956 scopus 로고
    • Estimation of variance and covariance components
    • Henderson CR (1953) Estimation of variance and covariance components. Biometrics 9:226-252
    • (1953) Biometrics , vol.9 , pp. 226-252
    • Henderson, C.R.1
  • 16
    • 51649153393 scopus 로고
    • Maximum likelihood estimate of variance components
    • Koch KR (1986) Maximum likelihood estimate of variance components. Bull Géod 60:329-338
    • (1986) Bull Géod , vol.60 , pp. 329-338
    • Koch, K.R.1
  • 18
    • 34548260310 scopus 로고    scopus 로고
    • Schätzfunktionen für Varianzen, Kovarianzen und für andere Parameter in Ausgleichsaufgaben
    • Ph.D thesis, ITC, Delft
    • Kubik K (1966) Schätzfunktionen für Varianzen, Kovarianzen und für andere Parameter in Ausgleichsaufgaben. Ph.D thesis, ITC, Delft
    • (1996)
    • Kubik, K.1
  • 19
    • 51249187696 scopus 로고
    • The estimation of the weights of measured quantities within the method of least squares
    • Kubik K (1970) The estimation of the weights of measured quantities within the method of least squares. Bull Géod 44:21-40
    • (1970) Bull Géod , vol.44 , pp. 21-40
    • Kubik, K.1
  • 20
    • 0015828315 scopus 로고
    • Quadratic estimation of variance components
    • LaMotte LR (1973a) Quadratic estimation of variance components. Biometrics 29:311-320
    • (1973) Biometrics , vol.29 , pp. 311-320
    • LaMotte, L.R.1
  • 21
    • 0010929848 scopus 로고
    • On non-negative quadratic unbiased estimation of variance components
    • LaMotte LR (1973b) On non-negative quadratic unbiased estimation of variance components. J Am stat Assoc 68:728-730
    • (1973) J Am Stat Assoc , vol.68 , pp. 728-730
    • LaMotte, L.R.1
  • 22
    • 51249171249 scopus 로고
    • Estimation of variance and covariance components
    • Ou ZQ (1989) Estimation of variance and covariance components. Bull Geod 63:139-148
    • (1989) Bull Geod , vol.63 , pp. 139-148
    • Ou, Z.Q.1
  • 23
    • 77956889208 scopus 로고
    • Recovery of inter-block information when block sizes are unequal
    • Patterson HD, Thompson R (1971) Recovery of inter-block information when block sizes are unequal. Biometrika 58:545-554
    • (1971) Biometrika , vol.58 , pp. 545-554
    • Patterson, H.D.1    Thompson, R.2
  • 25
    • 34548263628 scopus 로고
    • Estimability of parameters of the covariance matrix and variance components
    • Pincus R (1974) Estimability of parameters of the covariance matrix and variance components. Math Opera Stat 5:245-248
    • (1974) Math Opera Stat , vol.5 , pp. 245-248
    • Pincus, R.1
  • 26
    • 0000927059 scopus 로고
    • Estimating variance components in linear models
    • Pukelsheim F (1976) Estimating variance components in linear models. J Multivariate Anal 6:626-629
    • (1976) J Multivariate Anal , vol.6 , pp. 626-629
    • Pukelsheim, F.1
  • 27
    • 0001099716 scopus 로고
    • Estimation of heteroscedastic variances in linear models
    • Rao CR (1970) Estimation of heteroscedastic variances in linear models. J Am stat Assoc 65:161-171
    • (1970) J Am Stat Assoc , vol.65 , pp. 161-171
    • Rao, C.R.1
  • 28
    • 36949007083 scopus 로고
    • Estimation of variance and covariance components - MINQUE theory
    • Rao CR (1971) Estimation of variance and covariance components - MINQUE theory. J Multivariate Anal 1:257-275
    • (1971) J Multivariate Anal , vol.1 , pp. 257-275
    • Rao, C.R.1
  • 31
    • 13044250001 scopus 로고
    • Ausgleichung mit Bedingungs-Ungleichungen
    • Schaffrin B (1981a) Ausgleichung mit Bedingungs-Ungleichungen. AVN 88:227-238
    • (1981) AVN , vol.88 , pp. 227-238
    • Schaffrin, B.1
  • 32
    • 51249183690 scopus 로고
    • Best invariant covariance component estimators and its application to the generalized multivariate adjustment of heterogeneous deformation observations
    • Schaffrin B (1981b) Best invariant covariance component estimators and its application to the generalized multivariate adjustment of heterogeneous deformation observations. Bull Géod 55:73-85
    • (1981) Bull Géod , vol.55 , pp. 73-85
    • Schaffrin, B.1
  • 36
    • 0002479894 scopus 로고    scopus 로고
    • Estimation and testing in constrained covariance component models
    • Shaw FH, Geyer CJ (1997) Estimation and testing in constrained covariance component models. Biometrika 84:95-102
    • (1997) Biometrika , vol.84 , pp. 95-102
    • Shaw, F.H.1    Geyer, C.J.2
  • 37
    • 0007352276 scopus 로고
    • The best quadratic minimum bias non-negative definite estimator for an additive two variance component model
    • Sjöberg LE (1995) The best quadratic minimum bias non-negative definite estimator for an additive two variance component model. Manus Geod 20:139-144
    • (1995) Manus Geod , vol.20 , pp. 139-144
    • Sjöberg, L.E.1
  • 38
    • 0005893857 scopus 로고
    • Testing the hypotheses of non-estimable functions in free net adjustment models
    • Xu PL (1995) Testing the hypotheses of non-estimable functions in free net adjustment models. Manus Geod 20:73-81
    • (1995) Manus Geod , vol.20 , pp. 73-81
    • Xu, P.L.1
  • 39
    • 0030817233 scopus 로고    scopus 로고
    • A general solution in geodetic nonlinear rank-defect models
    • Xu PL (1997) A general solution in geodetic nonlinear rank-defect models. Boll Geod Sci Aff 56:1-25
    • (1997) Boll Geod Sci Aff , vol.56 , pp. 1-25
    • Xu, P.L.1
  • 40
    • 34548273513 scopus 로고    scopus 로고
    • Variance component estimation in linear inverse ill-posed models
    • Xu PL, Shen YZ, Fukuda Y, Liu YM (2006) Variance component estimation in linear inverse ill-posed models. J Geod 80:69-81
    • (2006) J Geod , vol.80 , pp. 69-81
    • Xu, P.L.1    Shen, Y.Z.2    Fukuda, Y.3    Liu, Y.M.4
  • 41
    • 0007350580 scopus 로고    scopus 로고
    • A universal formula of maximum likelihood estimation of variance-covariance components
    • Yu ZC (1996) A universal formula of maximum likelihood estimation of variance-covariance components. J Geod 70:233-240
    • (1996) J Geod , vol.70 , pp. 233-240
    • Yu, Z.C.1
  • 42
    • 0003410565 scopus 로고
    • Science Beijing Press, (in Chinese, its revised English version has been published by Springer in 1990 under the title Generalized multivariate analysis)
    • Zhang YT, Fang KT (1982) Introduction to multivariate statistical analysis. Science Beijing Press, (in Chinese, its revised English version has been published by Springer in 1990 under the title Generalized multivariate analysis)
    • (1982) Introduction to Multivariate Statistical Analysis
    • Zhang, Y.T.1    Fang, K.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.