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Information Journal Paper

Title

ROBUST EMPIRICAL BAYES ESTIMATION OF THE ELLIPTICALLY COUNTOURED COVARIANCE MATRIX

Pages

  31-46

Abstract

 Let S be the matrix of residual sum of square in linear modelY=Ab+e, where the matrix of errors is distributed as elliptically contoured with unknown scale matrix S. For Stein loss function, L1 (S ,S) =tr (SˆS-1) -log |(SˆS-1|-p, and squared loss function, L2 ((SˆS-1) =tr ((SˆS-1-I) 2, we offer empirical Bayes estimators of S, which dominate any scalar multiple of S, i.e., aS, by an effective amount. In fact, this study somehow shows that improvement of the empirical Bayes estimators obtained under the normality assumption remains robust under elliptically contoured model.

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    APA: Copy

    KHODADADI, Z., & TARAMI, B.. (2011). ROBUST EMPIRICAL BAYES ESTIMATION OF THE ELLIPTICALLY COUNTOURED COVARIANCE MATRIX. JOURNAL OF MATHEMATICAL EXTENSION, 5(2 (S.N. 10)), 31-46. SID. https://sid.ir/paper/582974/en

    Vancouver: Copy

    KHODADADI Z., TARAMI B.. ROBUST EMPIRICAL BAYES ESTIMATION OF THE ELLIPTICALLY COUNTOURED COVARIANCE MATRIX. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2011;5(2 (S.N. 10)):31-46. Available from: https://sid.ir/paper/582974/en

    IEEE: Copy

    Z. KHODADADI, and B. TARAMI, “ROBUST EMPIRICAL BAYES ESTIMATION OF THE ELLIPTICALLY COUNTOURED COVARIANCE MATRIX,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 5, no. 2 (S.N. 10), pp. 31–46, 2011, [Online]. Available: https://sid.ir/paper/582974/en

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