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Volumn 60, Issue 2, 1997, Pages 188-202

Symmetry and unimodality in linear inference

(1)  Jensen, D R a  

a NONE

Author keywords

Gauss Markov theory; Location, median, and modal unbiasedness; Symmetry under reflections; Tightened confidence bounds; Unimodal mixtures

Indexed keywords


EID: 0031068904     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1996.1652     Document Type: Article
Times cited : (3)

References (14)
  • 1
    • 84968476146 scopus 로고
    • The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities
    • [1] Anderson, T. W. (1955). The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proc. Amer. Math. Soc. 6 170-176.
    • (1955) Proc. Amer. Math. Soc. , vol.6 , pp. 170-176
    • Anderson, T.W.1
  • 2
    • 0010945472 scopus 로고
    • On minimax and best equivariant estimation functions in the linear model with A-unimodal density and quasiconvex loss
    • [2] Cremers, H., and Fieger, W. (1988). On minimax and best equivariant estimation functions in the linear model with A-unimodal density and quasiconvex loss. Statist. Decisions 6 49-61.
    • (1988) Statist. Decisions , vol.6 , pp. 49-61
    • Cremers, H.1    Fieger, W.2
  • 4
    • 38249030530 scopus 로고
    • Concentration inequalities for Gauss-Markov estimators
    • [4] Eaton, M. L. (1988). Concentration inequalities for Gauss-Markov estimators. J. Multivariate Anal. 25 119-138.
    • (1988) J. Multivariate Anal. , vol.25 , pp. 119-138
    • Eaton, M.L.1
  • 5
    • 0018732961 scopus 로고
    • Linear models without moments
    • [5] Jensen, D. R. (1979). Linear models without moments. Biometrika 66 611-617.
    • (1979) Biometrika , vol.66 , pp. 611-617
    • Jensen, D.R.1
  • 6
    • 0010945473 scopus 로고
    • Inequalities for joint distributions of quadratic forms
    • [6] Jensen, D. R. (1982). Inequalities for joint distributions of quadratic forms. SIAM J. Appl. Math. 42 297-301.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 297-301
    • Jensen, D.R.1
  • 7
    • 84968468155 scopus 로고
    • Unimodality and dominance for symmetric random vectors
    • [7] Kanter, M. (1977). Unimodality and dominance for symmetric random vectors. Trans. Amer. Math. Soc. 229 65-85.
    • (1977) Trans. Amer. Math. Soc. , vol.229 , pp. 65-85
    • Kanter, M.1
  • 9
    • 34250967722 scopus 로고
    • Uber monotone matrixfunktionen
    • [9] Loewner, C. (1934). Uber monotone Matrixfunktionen. Math. Z. 38 177-216.
    • (1934) Math. Z. , vol.38 , pp. 177-216
    • Loewner, C.1
  • 11
    • 0010821662 scopus 로고
    • Covariance bounds for multivariate unimodal distributions and a characterization of uniformity
    • [11] Mattner, L. (1991). Covariance bounds for multivariate unimodal distributions and a characterization of uniformity. J. Multivariate Anal. 38 204-212.
    • (1991) J. Multivariate Anal. , vol.38 , pp. 204-212
    • Mattner, L.1
  • 12
  • 13
    • 0000083925 scopus 로고
    • A theorem on convex sets with applications
    • [13] Sherman, S. (1955). A theorem on convex sets with applications. Ann. Math. Statist. 26 763-766.
    • (1955) Ann. Math. Statist. , vol.26 , pp. 763-766
    • Sherman, S.1
  • 14
    • 0000796864 scopus 로고
    • Some extensions of the idea of bias
    • [14] Vaart, H. R. van der (1961). Some extensions of the idea of bias. Ann. Math. Statist. 32 436-447.
    • (1961) Ann. Math. Statist. , vol.32 , pp. 436-447
    • Van Der Vaart, H.R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.