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Volumn 59, Issue 2, 1996, Pages 109-140

A paradox concerning shrinkage estimators: Should a known scale parameter be replaced by an estimated value in the shrinkage factor?

Author keywords

James stein estimation; Location parameter; Minimaxity; Quadratic loss; Robustness; Spherical symmetry

Indexed keywords


EID: 0030295571     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1996.0056     Document Type: Article
Times cited : (24)

References (11)
  • 1
    • 84972526992 scopus 로고
    • Stein estimation: The spherically symmetric case
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    • (1990) Statist. Sci. , vol.5 , Issue.3 , pp. 356-369
    • Brandwein, A.C.1    Strawderman, W.E.2
  • 2
    • 0001631018 scopus 로고
    • Generalizations of James-Stein estimators under spherical symmetry
    • [2] Brandwein, A. C., and Strawderman, W. E. (1991). Generalizations of James-Stein estimators under spherical symmetry, Annal. Statist. 19 (3), 1639-1650.
    • (1991) Annal. Statist. , vol.19 , Issue.3 , pp. 1639-1650
    • Brandwein, A.C.1    Strawderman, W.E.2
  • 3
    • 0000058766 scopus 로고
    • Improved estimates of location in the presence of an unknown scale
    • [3] Brandwein, A. C., and Strawderman, W. E. (1991). Improved estimates of location in the presence of an unknown scale. J. Multivar. Anal. 39 305-314.
    • (1991) J. Multivar. Anal. , vol.39 , pp. 305-314
    • Brandwein, A.C.1    Strawderman, W.E.2
  • 4
    • 0000978640 scopus 로고
    • Shrinkage estimators of the location parameter for certain spherically symmetric distributions
    • [4] Brandwein, A. C., Ralescu, S., and Strawderman, W. E. (1991). Shrinkage estimators of the location parameter for certain spherically symmetric distributions. Ann. Inst. Statist. Math. 45 (3), 551-563.
    • (1991) Ann. Inst. Statist. Math. , vol.45 , Issue.3 , pp. 551-563
    • Brandwein, A.C.1    Ralescu, S.2    Strawderman, W.E.3
  • 5
    • 84988098446 scopus 로고
    • Limit expressions for the risk of James-Stein estimators
    • [5] Casella, G., and Hwang, J. T. (1982). Limit expressions for the risk of James-Stein estimators. Canad. J. Statist. 10 305-309.
    • (1982) Canad. J. Statist. , vol.10 , pp. 305-309
    • Casella, G.1    Hwang, J.T.2
  • 6
    • 0000221951 scopus 로고
    • Shrinkage estimators under spherical symmetry for the general linear model
    • [6] Cellier, D., and Fourdrinier, D. (1995). Shrinkage estimators under spherical symmetry for the general linear model. J. Multivar. Anal. 52 (2), 338-351.
    • (1995) J. Multivar. Anal. , vol.52 , Issue.2 , pp. 338-351
    • Cellier, D.1    Fourdrinier, D.2
  • 7
    • 38249022794 scopus 로고
    • Robust shrinkage estimators of the location parameter for elliptically symmetric distributions
    • [7] Cellier, D., Fourdrinier, D., and Robert, C. (1989). Robust shrinkage estimators of the location parameter for elliptically symmetric distributions. J. Multivar. Anal. 29 39-52.
    • (1989) J. Multivar. Anal. , vol.29 , pp. 39-52
    • Cellier, D.1    Fourdrinier, D.2    Robert, C.3
  • 9
    • 0003232065 scopus 로고
    • Bayes estimates for the linear model (with discussion)
    • [9] Lindley, D. V., and Smith, A. F. M. (1972). Bayes estimates for the linear model (with discussion), J. Roy. Statist. Soc. 34 1-41.
    • (1972) J. Roy. Statist. Soc. , vol.34 , pp. 1-41
    • Lindley, D.V.1    Smith, A.F.M.2
  • 10
    • 0000813561 scopus 로고
    • Inadmissibility of the usual estimator for the mean of a multivariate distribution
    • Berkeley, University of California Press
    • [10] Stein, C. (1956). Inadmissibility of the usual estimator for the mean of a multivariate distribution. In Proc. Third Berkeley Symposium Mathematics, Statistics, and Probability, Vol. 1, pp. 197-206. Berkeley, University of California Press.
    • (1956) Proc. Third Berkeley Symposium Mathematics, Statistics, and Probability , vol.1 , pp. 197-206
    • Stein, C.1
  • 11
    • 0000169918 scopus 로고
    • Estimation of the mean of a multivariate normal distribution
    • [11] Stein, C. (1981). Estimation of the mean of a multivariate normal distribution. Ann. Statist. 9 (6), 1135-1151.
    • (1981) Ann. Statist. , vol.9 , Issue.6 , pp. 1135-1151
    • Stein, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.