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Volumn 100, Issue 10, 2009, Pages 2296-2304

Generalized Bayes minimax estimation of the normal mean matrix with unknown covariance matrix

Author keywords

Decision theory; Equivariance; Generalized Bayes estimation; Hierarchical model; Minimaxity; Multivariate linear model; Posterior mean; Quadratic loss; Shrinkage estimator

Indexed keywords


EID: 70249122712     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2009.04.009     Document Type: Article
Times cited : (14)

References (16)
  • 1
    • 0001401955 scopus 로고
    • Empirical Bayes on vector observations: An extension of Stein's method
    • Efron B., and Morris C. Empirical Bayes on vector observations: An extension of Stein's method. Biometrika 59 (1972) 335-347
    • (1972) Biometrika , vol.59 , pp. 335-347
    • Efron, B.1    Morris, C.2
  • 2
    • 0002252252 scopus 로고
    • Estimation of the mean of a multivariate normal distribution
    • C. Stein, Estimation of the mean of a multivariate normal distribution, in: Proc. Prague Symp. Asymptotic Statist., 1973, pp. 345-381
    • (1973) Proc. Prague Symp. Asymptotic Statist , pp. 345-381
    • Stein, C.1
  • 3
    • 38249041711 scopus 로고
    • On estimation of matrix of normal mean
    • Zheng Z. On estimation of matrix of normal mean. J. Multivariate Anal. 18 (1986) 70-82
    • (1986) J. Multivariate Anal. , vol.18 , pp. 70-82
    • Zheng, Z.1
  • 4
    • 46149129966 scopus 로고
    • Selecting a minimax estimator doing well at a point
    • Zheng Z. Selecting a minimax estimator doing well at a point. J. Multivariate Anal. 19 (1986) 14-23
    • (1986) J. Multivariate Anal. , vol.19 , pp. 14-23
    • Zheng, Z.1
  • 5
    • 38249022757 scopus 로고
    • Minimax estimators in the normal MANOVA model
    • Bilodeau M., and Kariya T. Minimax estimators in the normal MANOVA model. J. Multivariate Anal. 28 (1989) 260-270
    • (1989) J. Multivariate Anal. , vol.28 , pp. 260-270
    • Bilodeau, M.1    Kariya, T.2
  • 6
    • 44949270888 scopus 로고
    • Empirical Bayes minimax estimators of matrix normal means
    • Ghosh M., and Shieh G. Empirical Bayes minimax estimators of matrix normal means. J. Multivariate Anal. 38 (1991) 306-318
    • (1991) J. Multivariate Anal. , vol.38 , pp. 306-318
    • Ghosh, M.1    Shieh, G.2
  • 7
    • 14644415321 scopus 로고
    • Families of minimax estimators of matrix of normal means with unknown covariance matrix
    • Konno Y. Families of minimax estimators of matrix of normal means with unknown covariance matrix. J. Japan Statist. Soc. 20 (1990) 191-201
    • (1990) J. Japan Statist. Soc. , vol.20 , pp. 191-201
    • Konno, Y.1
  • 8
    • 0002541012 scopus 로고
    • On estimation of a matrix of normal means with unknown covariance matrix
    • Konno Y. On estimation of a matrix of normal means with unknown covariance matrix. J. Multivariate Anal. 36 (1991) 44-55
    • (1991) J. Multivariate Anal. , vol.36 , pp. 44-55
    • Konno, Y.1
  • 10
    • 34548118606 scopus 로고    scopus 로고
    • Methods for improvement in estimation of a normal mean matrix
    • Tsukuma H., and Kubokawa T. Methods for improvement in estimation of a normal mean matrix. J. Multivariate Anal. 98 (2007) 1592-1610
    • (2007) J. Multivariate Anal. , vol.98 , pp. 1592-1610
    • Tsukuma, H.1    Kubokawa, T.2
  • 11
    • 22944461401 scopus 로고    scopus 로고
    • Posterior propriety and admissibility of hyperpriors in normal hierarchical models
    • Berger J.O., Strawderman W., and Tang D. Posterior propriety and admissibility of hyperpriors in normal hierarchical models. Ann. Statist. 33 (2005) 606-646
    • (2005) Ann. Statist. , vol.33 , pp. 606-646
    • Berger, J.O.1    Strawderman, W.2    Tang, D.3
  • 12
    • 54049093683 scopus 로고    scopus 로고
    • Admissibility and minimaxity of Bayes estimators for a normal mean matrix
    • Tsukuma H. Admissibility and minimaxity of Bayes estimators for a normal mean matrix. J. Multivariate Anal. 99 (2008) 2251-2264
    • (2008) J. Multivariate Anal. , vol.99 , pp. 2251-2264
    • Tsukuma, H.1
  • 13
    • 26444537548 scopus 로고
    • Generalized Bayes minimax estimators of the multivariate normal mean with unknown covariance matrix
    • Lin P.-E., and Tsai H.-L. Generalized Bayes minimax estimators of the multivariate normal mean with unknown covariance matrix. Ann. Statist. 1 (1973) 142-145
    • (1973) Ann. Statist. , vol.1 , pp. 142-145
    • Lin, P.-E.1    Tsai, H.-L.2
  • 15
    • 0042422705 scopus 로고
    • Exact moments of the multivariate F and Beta distributions
    • Konno Y. Exact moments of the multivariate F and Beta distributions. J. Japan Statist. Soc. 18 (1988) 123-130
    • (1988) J. Japan Statist. Soc. , vol.18 , pp. 123-130
    • Konno, Y.1
  • 16
    • 26444582265 scopus 로고    scopus 로고
    • A new class of generalized Bayes minimax ridge regression estimators
    • Maruyama Y., and Strawderman W.E. A new class of generalized Bayes minimax ridge regression estimators. Ann. Statist. 33 (2005) 1753-1770
    • (2005) Ann. Statist. , vol.33 , pp. 1753-1770
    • Maruyama, Y.1    Strawderman, W.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.