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Volumn 53, Issue 3, 2001, Pages 207-222

A stochastic characterization of Loewner optimality design criterion in linear models

Author keywords

Admissibility; Anderson's theorem; Information equivalence; Kiefer optimality; Multifactor first degree polynomial models; Orthogonal and simplex designs; Stochastic convex and distance optimality criteria

Indexed keywords


EID: 0035649692     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840000106     Document Type: Article
Times cited : (7)

References (18)
  • 1
    • 84968476146 scopus 로고
    • The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities
    • Anderson TW (1955) The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proceedings of the American Mathematical Society 6:170-176
    • (1955) Proceedings of the American Mathematical Society , vol.6 , pp. 170-176
    • Anderson, T.W.1
  • 2
    • 0001766444 scopus 로고
    • Spacing of information in polynomial estimation
    • De la Garza A (1954) Spacing of information in polynomial estimation. Annals of Mathematical Statistics 25:123-130
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 123-130
    • De La Garza, A.1
  • 3
    • 0000010206 scopus 로고
    • Concentration inequalities for multivariate distributions: I. Multivariate normal distributions
    • Eaton ML and Perlman MD (1991) Concentration inequalities for multivariate distributions: I. Multivariate normal distributions. Statist. Probab. Lett. 12:487-504
    • (1991) Statist. Probab. Lett. , vol.12 , pp. 487-504
    • Eaton, M.L.1    Perlman, M.D.2
  • 5
    • 0001032586 scopus 로고
    • Universal domination and stochastic domination: Estimation simultaneously under a broad class of loss functions
    • Hwang JT (1985) Universal domination and stochastic domination: estimation simultaneously under a broad class of loss functions. Annals of Statistics 13:295-314
    • (1985) Annals of Statistics , vol.13 , pp. 295-314
    • Hwang, J.T.1
  • 8
    • 0033426770 scopus 로고    scopus 로고
    • Distance optimality design criterion in linear models
    • Liski EP, Luoma A and Zaigraev A (1999) Distance optimality design criterion in linear models. Metrika 49:193-211
    • (1999) Metrika , vol.49 , pp. 193-211
    • Liski, E.P.1    Luoma, A.2    Zaigraev, A.3
  • 10
    • 0007233288 scopus 로고
    • TW Anderson's theorem on the integral of a symmetric unimodal function over a symmetric convex set and its applications in probability and statistics
    • edited by George P. H. Styan
    • Perlman MD (1989) TW Anderson's theorem on the integral of a symmetric unimodal function over a symmetric convex set and its applications in probability and statistics. In: The collected papers of TW Anderson: 1943-1985 (edited by George P. H. Styan). Vol. 2, 1627-1641
    • (1989) The Collected Papers of TW Anderson: 1943-1985 , vol.2 , pp. 1627-1641
    • Perlman, M.D.1
  • 13
    • 0000083925 scopus 로고
    • A theorem on convex sets with applications
    • Sherman S (1955) A theorem on convex sets with applications. Annals of Mathematical Statistics 26:763-766
    • (1955) Annals of Mathematical Statistics , vol.26 , pp. 763-766
    • Sherman, S.1
  • 15
    • 0002877915 scopus 로고
    • Stochastic ordering and Schur-convex functions in comparison of linear experiments
    • Stȩpniak C (1989) Stochastic ordering and Schur-convex functions in comparison of linear experiments. Metrika 36:291-298
    • (1989) Metrika , vol.36 , pp. 291-298
    • Stȩpniak, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.