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Volumn 29, Issue 3, 2001, Pages 763-783

E-optimal designs for rational models

Author keywords

Approximate designs; Bernstein Szeg polynomials; Chebyshev systems; E criterion; Standardized criterion

Indexed keywords


EID: 0035539856     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1009210689     Document Type: Article
Times cited : (19)

References (29)
  • 2
    • 84962985031 scopus 로고
    • Chebyshev polynomials and Markov-Bernstein type inequalities for rational spaces
    • BORWEIN, P., ERDÉLYI, T. and ZHANG, J. (1994). Chebyshev polynomials and Markov-Bernstein type inequalities for rational spaces. J. London Math. Soc. 50 501-519.
    • (1994) J. London Math. Soc. , vol.50 , pp. 501-519
    • Borwein, P.1    Erdélyi, T.2    Zhang, J.3
  • 3
    • 0007264924 scopus 로고    scopus 로고
    • E-optimal designs for polynomial regression without intercept
    • CHANG, F.-C. and HEILIGERS, B. (1996). E-optimal designs for polynomial regression without intercept. J. Statist. Plann. Inference 55 371-387.
    • (1996) J. Statist. Plann. Inference , vol.55 , pp. 371-387
    • Chang, F.-C.1    Heiligers, B.2
  • 4
    • 21144464543 scopus 로고
    • A note on E-optimal designs for weighted polynomial regression
    • DETTE, H. (1993). A note on E-optimal designs for weighted polynomial regression. Ann. Statist. 21 767-771.
    • (1993) Ann. Statist. , vol.21 , pp. 767-771
    • Dette, H.1
  • 5
    • 0002487793 scopus 로고    scopus 로고
    • Designing experiments with respect to 'standardized' optimality criteria
    • DETTE, H. (1997a). Designing experiments with respect to 'standardized' optimality criteria. J. Roy. Statist. Soc. Ser. B 59 97-110.
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 97-110
    • Dette, H.1
  • 6
    • 0031283652 scopus 로고    scopus 로고
    • E-optimal designs for regression models with quantitative factors - A reasonable choice?
    • DETTE, H. (1997b). E-optimal designs for regression models with quantitative factors - a reasonable choice? Can. J. Statist. 25 531-543.
    • (1997) Can. J. Statist. , vol.25 , pp. 531-543
    • Dette, H.1
  • 7
    • 0033236907 scopus 로고    scopus 로고
    • Optimal designs for rational models and weighted polynomial regression
    • DETTE, H., HAINES, L. M. and IMHOF, L. (1999). Optimal designs for rational models and weighted polynomial regression. Ann. Statist. 27 1272-1293.
    • (1999) Ann. Statist. , vol.27 , pp. 1272-1293
    • Dette, H.1    Haines, L.M.2    Imhof, L.3
  • 10
    • 0001827635 scopus 로고
    • Optimal design for inverse quadratic polynomials
    • HAINES, L. M. (1992). Optimal design for inverse quadratic polynomials. South African Statist. J. 26 25-41.
    • (1992) South African Statist. J. , vol.26 , pp. 25-41
    • Haines, L.M.1
  • 11
    • 0030366316 scopus 로고    scopus 로고
    • Optimal designs for rational models
    • HE, Z., STUDDEN, W. J. and SUN, D. (1996). Optimal designs for rational models. Ann. Statist. 24 2128-2147.
    • (1996) Ann. Statist. , vol.24 , pp. 2128-2147
    • He, Z.1    Studden, W.J.2    Sun, D.3
  • 12
    • 21844505924 scopus 로고
    • E-optimal designs in weighted polynomial regression
    • HEILIGERS, B. (1994). E-optimal designs in weighted polynomial regression. Ann. Statist. 22 917-929.
    • (1994) Ann. Statist. , vol.22 , pp. 917-929
    • Heiligers, B.1
  • 13
    • 0030607406 scopus 로고    scopus 로고
    • Computing E-optimal polynomial regression designs
    • HEILIGERS, B. (1996). Computing E-optimal polynomial regression designs. J. Statist. Plann. Inference 55 219-233.
    • (1996) J. Statist. Plann. Inference , vol.55 , pp. 219-233
    • Heiligers, B.1
  • 14
    • 0035648511 scopus 로고    scopus 로고
    • Totally positive regression: E-optimal designs
    • To appear
    • HEILIGERS, B. (2001). Totally positive regression: E-optimal designs. Metrika. To appear.
    • (2001) Metrika
    • Heiligers, B.1
  • 15
    • 0033475341 scopus 로고    scopus 로고
    • Extending design-optimality from an initial model to augmented models
    • IMHOF, L. and KRAFFT, O. (1999). Extending design-optimality from an initial model to augmented models. Metrika 49 19-26.
    • (1999) Metrika , vol.49 , pp. 19-26
    • Imhof, L.1    Krafft, O.2
  • 18
    • 0007185719 scopus 로고    scopus 로고
    • Analytical theory of E-optimal designs for polynomial regression
    • (N. Balakrishnan, V. B. Melas and S. Ermakov, eds.) Birkhäuser, Boston
    • MELAS, V. B. (2000). Analytical theory of E-optimal designs for polynomial regression. In Advances in Stochastic Simulation Methods (N. Balakrishnan, V. B. Melas and S. Ermakov, eds.) 85-115. Birkhäuser, Boston.
    • (2000) Advances in Stochastic Simulation Methods , pp. 85-115
    • Melas, V.B.1
  • 19
    • 0030079806 scopus 로고    scopus 로고
    • On hermite interpolation by Cauchy-Vandermonde systems: The lagrange formula, the adjoint and the inverse of a Cauchy-Vandermonde matrix
    • MÜHLBACH, G. (1996). On Hermite interpolation by Cauchy-Vandermonde systems: the Lagrange formula, the adjoint and the inverse of a Cauchy-Vandermonde matrix. J. Comput. Appl. Math. 67 147-159.
    • (1996) J. Comput. Appl. Math. , vol.67 , pp. 147-159
    • Mühlbach, G.1
  • 20
    • 0001198516 scopus 로고
    • Elliptic orthogonal and extremal polynomials
    • PEHERSTORFER, F. (1995). Elliptic orthogonal and extremal polynomials. Proc. London Math. Soc. 70 605-624.
    • (1995) Proc. London Math. Soc. , vol.70 , pp. 605-624
    • Peherstorfer, F.1
  • 23
    • 21144471847 scopus 로고
    • E-optimal designs for polynomial regression
    • PUKELSHEIM, F. and STUDDEN, W. J. (1993). E-optimal designs for polynomial regression. Ann. Statist. 21 402-415.
    • (1993) Ann. Statist. , vol.21 , pp. 402-415
    • Pukelsheim, F.1    Studden, W.J.2
  • 25
    • 38149143503 scopus 로고
    • Optimal designs for interpolation
    • SPRUILL, M. C. (1987). Optimal designs for interpolation. J. Statist. Plann. Inference 16 219-229.
    • (1987) J. Statist. Plann. Inference , vol.16 , pp. 219-229
    • Spruill, M.C.1
  • 27
    • 0001461163 scopus 로고
    • Optimal designs on Tchebycheff points
    • STUDDEN, W. J. (1968). Optimal designs on Tchebycheff points. Ann. Math. Statist. 39 1435-1447.
    • (1968) Ann. Math. Statist. , vol.39 , pp. 1435-1447
    • Studden, W.J.1
  • 28
    • 0001202862 scopus 로고
    • Remez's procedure for finding optimal designs
    • STUDDEN, W. J. and TSAY, J.-Y. (1976). Remez's procedure for finding optimal designs. Ann. Statist. 4 1271-1279.
    • (1976) Ann. Statist. , vol.4 , pp. 1271-1279
    • Studden, W.J.1    Tsay, J.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.