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Volumn 35, Issue 2, 2007, Pages 772-792

On the number of support points of maximin and Bayesian optimal designs

Author keywords

Bayesian optimal design; Maximin optimal design; Nonlinear models

Indexed keywords


EID: 47749089079     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053606000001307     Document Type: Article
Times cited : (23)

References (19)
  • 1
    • 49749127560 scopus 로고    scopus 로고
    • On the number of support points of maximin and Bayesian D-optimal designs in nonlinear regression models
    • Technical report. Available at
    • BRAESS, D. and DETTE, H. (2005). On the number of support points of maximin and Bayesian D-optimal designs in nonlinear regression models. Technical report. Available at www.ruhr-uni-bochum.de/mathematik3/ preprint.htm.
    • (2005)
    • BRAESS, D.1    DETTE, H.2
  • 2
    • 0000083715 scopus 로고
    • Optimal Bayesian design applied to logistic regression experiments
    • MR0985457
    • CHALONER., K. and LARNTZ, K. (1989). Optimal Bayesian design applied to logistic regression experiments. J. Statist. Plann. Inference21191-208. MR0985457
    • (1989) J. Statist. Plann. Inference , vol.21 , pp. 191-208
    • CHALONER, K.1    LARNTZ, K.2
  • 3
    • 0002487793 scopus 로고    scopus 로고
    • Designing experiments with, respect to "standardized" optimality criteria
    • MR1436556
    • DETTE, H. (1997). Designing experiments with, respect to "standardized" optimality criteria. J. Roy. Statist. Soc. Ser. B 59 97-110. MR1436556
    • (1997) J. Roy. Statist. Soc. Ser. B , vol.59 , pp. 97-110
    • DETTE, H.1
  • 4
    • 0242595631 scopus 로고    scopus 로고
    • Robust and efficient designs for the Michaelis-Menten model
    • MR2011681
    • DETTE, H. and BIEDERMANN, S. (2003). Robust and efficient designs for the Michaelis-Menten model. J. Amer. Statist. Assoc. 98 679-686. MR2011681
    • (2003) J. Amer. Statist. Assoc , vol.98 , pp. 679-686
    • DETTE, H.1    BIEDERMANN, S.2
  • 5
    • 0030167511 scopus 로고    scopus 로고
    • Bayesian optimal one point designs for one parameter nonlinear models
    • MR1391681
    • DETTE, H. and NEUGEBAUER, H.-M. (1996). Bayesian optimal one point designs for one parameter nonlinear models. J. Statist. Plann. Inference 52 17-31. MR1391681
    • (1996) J. Statist. Plann. Inference , vol.52 , pp. 17-31
    • DETTE, H.1    NEUGEBAUER, H.-M.2
  • 6
    • 0031570184 scopus 로고    scopus 로고
    • Bayesian D-optimal designs for exponential regression models
    • MR1456635
    • DETTE, H. and NEUGEBAUER, H.-M. (1997). Bayesian D-optimal designs for exponential regression models. J. Statist. Plann. Inference 60 331-349. MR1456635
    • (1997) J. Statist. Plann. Inference , vol.60 , pp. 331-349
    • DETTE, H.1    NEUGEBAUER, H.-M.2
  • 7
    • 0000251072 scopus 로고
    • The use of a canonical form in the construction of locally optimal designs for non-linear problems
    • MR1160483
    • FORD, I., TORSNEY, B. and WU, C.-F. J. (1992). The use of a canonical form in the construction of locally optimal designs for non-linear problems. J. Roy. Statist. Soc. Ser. B 54 569-583. MR1160483
    • (1992) J. Roy. Statist. Soc. Ser. B , vol.54 , pp. 569-583
    • FORD, I.1    TORSNEY, B.2    WU, C.-F.J.3
  • 8
    • 0038578418 scopus 로고    scopus 로고
    • D- and c-optimal designs for exponential regression models used in viral dynamics and other applications
    • MR1985885
    • HAN, C. and CHALONER, K. (2003). D- and c-optimal designs for exponential regression models used in viral dynamics and other applications. J. Statist. Plann. Inference 115 585-601. MR1985885
    • (2003) J. Statist. Plann. Inference , vol.115 , pp. 585-601
    • HAN, C.1    CHALONER, K.2
  • 9
    • 0035618158 scopus 로고    scopus 로고
    • Maximin designs for exponential growth models and heteroscedastic polynomial models
    • MR1863970
    • IMHOF, L. A. (2001). Maximin designs for exponential growth models and heteroscedastic polynomial models. Ann. Statist. 29 561-576. MR1863970 [
    • (2001) Ann. Statist , vol.29 , pp. 561-576
    • IMHOF, L.A.1
  • 10
    • 49749111027 scopus 로고    scopus 로고
    • KARLIN, S. and STUDDEN, W. J. (1966). Tchebycheff Systems. With Applications in Analysis and Statistics. Wiley, New York. MR0204922
    • KARLIN, S. and STUDDEN, W. J. (1966). Tchebycheff Systems. With Applications in Analysis and Statistics. Wiley, New York. MR0204922
  • 11
    • 0000981128 scopus 로고
    • General equivalence theory for optimum designs (approximate theory)
    • MR0356386
    • KIEFER, J. C. (1974). General equivalence theory for optimum designs (approximate theory). Ann. Statist. 2 849-879. MR0356386
    • (1974) Ann. Statist , vol.2 , pp. 849-879
    • KIEFER, J.C.1
  • 12
    • 0001123613 scopus 로고
    • Methode der Planung eines Experiments für den Fall nichtlinearer Parametrisierung.
    • In Russian
    • LÄUTER, E. (1974). Methode der Planung eines Experiments für den Fall nichtlinearer Parametrisierung. Math. Operationsforsch. Stat. 5 625-636. (In Russian.)
    • (1974) Math. Operationsforsch. Stat , vol.5 , pp. 625-636
    • LÄUTER, E.1
  • 13
    • 0343984929 scopus 로고
    • Temperature integration by kohlrabi growth
    • LIEBLG, H.-P. (.1988). Temperature integration by kohlrabi growth. Acta Horticulturae 230 371-380.
    • (1988) Acta Horticulturae , vol.230 , pp. 371-380
    • LIEBLG, H.-P.1
  • 14
    • 0000525359 scopus 로고
    • The geometry of mixture likelihoods: A general theory
    • MR0684866
    • LINDSAY, B. G. (1983). The geometry of mixture likelihoods: A general theory. Ann. Statist. 11 86-94. MR0684866
    • (1983) Ann. Statist , vol.11 , pp. 86-94
    • LINDSAY, B.G.1
  • 15
    • 0000852422 scopus 로고    scopus 로고
    • MUKHOPADHYAY, S. and HAINES, L. M. (1995). Bayesian D-optimal designs for the exponential growth model. J. Statist. Plann. Inferences 385-397. MR1332682
    • MUKHOPADHYAY, S. and HAINES, L. M. (1995). Bayesian D-optimal designs for the exponential growth model. J. Statist. Plann. Inferences 385-397. MR1332682
  • 16
    • 0010911410 scopus 로고
    • Maximin efficient designs for estimating nonlinear aspects in linear models
    • MR1323074
    • MÜLLER, CH. H. (1995). Maximin efficient designs for estimating nonlinear aspects in linear models. J. Statist. Plann. Inference 44 117-132. MR1323074
    • (1995) J. Statist. Plann. Inference , vol.44 , pp. 117-132
    • MÜLLER, C.H.1
  • 17
    • 0022093313 scopus 로고
    • Robust experiment design via stochastic approximation
    • MR0800967
    • PRONZATO, L. and WALTER, E. (1985). Robust experiment design via stochastic approximation. Math. Biosci. 75 103-120. MR0800967
    • (1985) Math. Biosci , vol.75 , pp. 103-120
    • PRONZATO, L.1    WALTER, E.2
  • 18
    • 49749098798 scopus 로고    scopus 로고
    • PUKELSHEIM, F. (.1993). Optimal Design of Experiments. Wiley, New York. MR1211416
    • PUKELSHEIM, F. (.1993). Optimal Design of Experiments. Wiley, New York. MR1211416
  • 19
    • 0001328961 scopus 로고
    • A unified approach to the construction of minimax designs
    • MR1187611
    • WONG, W. K. (1992). A unified approach to the construction of minimax designs. Biometrika 79 611-619. MR1187611
    • (1992) Biometrika , vol.79 , pp. 611-619
    • WONG, W.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.