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Volumn 24, Issue 4, 1996, Pages 1547-1559

Least upper bound for the covariance matrix of a generalized least squares estimator in regression with applications to a seemingly unrelated regression model and a heteroscedastic model

Author keywords

Efficiency of GLSE; Heteroscedastic model; Kantorovich inequality; Nonlinear Gauss Markov theorem; Seemingly unrelated equation

Indexed keywords


EID: 0030369801     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032298283     Document Type: Article
Times cited : (14)

References (11)
  • 2
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    • BILODEAU, M. (1990). On the choice of the loss function in covariance estimation. Statist. Decisions 8 131-139.
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    • Bilodeau, M.1
  • 3
    • 0009230038 scopus 로고
    • Bounds for the covariance matrices of zellner's estimator in the SUR model and the 2SAE in a heteroscedastic model
    • KARIYA, T. (1981). Bounds for the covariance matrices of Zellner's estimator in the SUR model and the 2SAE in a heteroscedastic model. J. Amer. Statist. Assoc. 76 975-979.
    • (1981) J. Amer. Statist. Assoc. , vol.76 , pp. 975-979
    • Kariya, T.1
  • 4
    • 0001579192 scopus 로고
    • Nonlinear versions of the Gauss-Markov theorem and GLSE
    • North-Holland, Amsterdam
    • KARIYA, T. and TOYOOKA, Y. (1985). Nonlinear versions of the Gauss-Markov theorem and GLSE. In Multivariate Analysis 6 345-354. North-Holland, Amsterdam.
    • (1985) Multivariate Analysis , vol.6 , pp. 345-354
    • Kariya, T.1    Toyooka, Y.2
  • 5
    • 0039684234 scopus 로고
    • On exact non-null distributions of likelihood ratio criteria for sphericity test and equality of two covariance matrices
    • KHATRI, C. G. and SRIVASTAVA, M. S. (1971). On exact non-null distributions of likelihood ratio criteria for sphericity test and equality of two covariance matrices. Sankhyā Ser. A 33 201-206.
    • (1971) Sankhyā Ser. A , vol.33 , pp. 201-206
    • Khatri, C.G.1    Srivastava, M.S.2
  • 6
    • 0009221049 scopus 로고
    • Some finite sample results in the context of two seemingly unrelated regression equations
    • REVANKAR, N. S. (1974). Some finite sample results in the context of two seemingly unrelated regression equations. J. Amer. Statist. Assoc. 69 187-190.
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 187-190
    • Revankar, N.S.1
  • 7
    • 0009047385 scopus 로고
    • On the distribution of the largest latent root and the corresponding latent vector for principal component analysis
    • SUGIYAMA, T. (1966). On the distribution of the largest latent root and the corresponding latent vector for principal component analysis. Ann. Math. Statist. 37 995-1001.
    • (1966) Ann. Math. Statist. , vol.37 , pp. 995-1001
    • Sugiyama, T.1
  • 8
    • 0000621358 scopus 로고
    • Joint distribution of the extreme roots of a covariance matrix
    • SUGIYAMA, T. (1970). Joint distribution of the extreme roots of a covariance matrix. Ann. Math. Statist. 41 655-657.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 655-657
    • Sugiyama, T.1
  • 9
    • 0040870260 scopus 로고
    • An approach to upper bound problems for risks of the generalized least squares estimators
    • TOYOOKA, Y. and KARIYA, T. (1986). An approach to upper bound problems for risks of the generalized least squares estimators. Ann. Statist. 14 679-690.
    • (1986) Ann. Statist. , vol.14 , pp. 679-690
    • Toyooka, Y.1    Kariya, T.2
  • 10
    • 84946357749 scopus 로고
    • An efficient method of estimating seemingly unrelated regression and tests for aggregation bias
    • ZELLNER, A. (1962). An efficient method of estimating seemingly unrelated regression and tests for aggregation bias. J. Amer. Statist. Assoc. 57 348-368.
    • (1962) J. Amer. Statist. Assoc. , vol.57 , pp. 348-368
    • Zellner, A.1
  • 11
    • 34248973195 scopus 로고
    • Estimators for seemingly unrelated regressions: Some exact finite sample results
    • ZELLNER, A. (1963). Estimators for seemingly unrelated regressions: some exact finite sample results. J. Amer. Statist. Assoc. 58 977-992.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 977-992
    • Zellner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.