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Volumn 67, Issue 1, 2005, Pages 3-18

T-optimum designs for discrimination between two multiresponse dynamic models

Author keywords

Differential equations; Mechanistic models; Non linear regression; Reaction kinetics; Relaxed optimization problem

Indexed keywords


EID: 12844255058     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9868.2005.00485.x     Document Type: Article
Times cited : (71)

References (40)
  • 1
    • 85056521670 scopus 로고
    • Optimum experimental designs for parameter estimation and for discrimination between models in the presence of prior information
    • (eds V. Fedorov, W. G. Müller and I. N. Vuchkov). Heidelberg: Physica
    • Atkinson, A. C. (1992) Optimum experimental designs for parameter estimation and for discrimination between models in the presence of prior information. In Model Oriented Data-analysis: a Survey of Recent Methods (eds V. Fedorov, W. G. Müller and I. N. Vuchkov), pp. 3-30. Heidelberg: Physica.
    • (1992) Model Oriented Data-analysis: A Survey of Recent Methods , pp. 3-30
    • Atkinson, A.C.1
  • 2
    • 12844265246 scopus 로고    scopus 로고
    • Some Bayesian optimum designs for response transformation in nonlinear models with nonconstant variance
    • (eds A. Di Bucchianico, H. Läuter and H. P. Wynn). Heidelberg: Physica
    • Atkinson, A. C. (2004) Some Bayesian optimum designs for response transformation in nonlinear models with nonconstant variance. In mODa 7 - Advances in Model-oriented Design and Analysis (eds A. Di Bucchianico, H. Läuter and H. P. Wynn), pp. 13-21. Heidelberg: Physica.
    • (2004) MODa 7 - Advances in Model-oriented Design and Analysis , pp. 13-21
    • Atkinson, A.C.1
  • 3
    • 0037186409 scopus 로고    scopus 로고
    • Compound and other optimum designs for systems of nonlinear differential equations arising in chemical kinetics
    • Atkinson, A. C. and Bogacka, B. (2002) Compound and other optimum designs for systems of nonlinear differential equations arising in chemical kinetics. Chemometr. Intell. Lab. Syst., 61, 17-33.
    • (2002) Chemometr. Intell. Lab. Syst. , vol.61 , pp. 17-33
    • Atkinson, A.C.1    Bogacka, B.2
  • 5
    • 85041935631 scopus 로고
    • The design of experiments for discriminating between two rival models
    • Atkinson, A. C. and Fedorov, V. V. (1975a) The design of experiments for discriminating between two rival models. Biometrika, 62, 57-70.
    • (1975) Biometrika , vol.62 , pp. 57-70
    • Atkinson, A.C.1    Fedorov, V.V.2
  • 6
    • 0016706915 scopus 로고
    • Optimal design: Experiments for discriminating between several models
    • Atkinson, A. C. and Fedorov, V. V. (1975b) Optimal design: experiments for discriminating between several models. Biometrika, 62, 289-303.
    • (1975) Biometrika , vol.62 , pp. 289-303
    • Atkinson, A.C.1    Fedorov, V.V.2
  • 10
    • 0002928751 scopus 로고
    • Discrimination among mechanistics models
    • Box, G. E. P. and Hill, W. J. (1967) Discrimination among mechanistics models. Technometrics, 9, 57-71.
    • (1967) Technometrics , vol.9 , pp. 57-71
    • Box, G.E.P.1    Hill, W.J.2
  • 11
    • 0002869695 scopus 로고
    • Some problems associated with the analysis of multiresponse data
    • Box, G. E. P., Hunter, W. G., MacGregor, J. F. and Erjavec, J. (1973) Some problems associated with the analysis of multiresponse data. Technometrics, 15, 33-51.
    • (1973) Technometrics , vol.15 , pp. 33-51
    • Box, G.E.P.1    Hunter, W.G.2    MacGregor, J.F.3    Erjavec, J.4
  • 12
    • 0028312648 scopus 로고
    • Model discrimination via designed experiments: Discriminating between the terminal and penultimate models on the basis of composition data
    • Burke, A. L., Duever, T. A. and Pendilis, A. (1994) Model discrimination via designed experiments: discriminating between the terminal and penultimate models on the basis of composition data. Macromolecules, 27, 386-399.
    • (1994) Macromolecules , vol.27 , pp. 386-399
    • Burke, A.L.1    Duever, T.A.2    Pendilis, A.3
  • 16
    • 0011489682 scopus 로고
    • Duality of optimal design for model discrimination and parameter estimation
    • Fedorov, V. V. and Khabarov, V. (1986) Duality of optimal design for model discrimination and parameter estimation. Biometrika, 73, 183-190.
    • (1986) Biometrika , vol.73 , pp. 183-190
    • Fedorov, V.V.1    Khabarov, V.2
  • 17
    • 38249007825 scopus 로고
    • Optimal Bayesian design for discriminating among rival models
    • Felsenstein, K. (1992) Optimal Bayesian design for discriminating among rival models. Comput. Statist. Data Anal., 14, 427-436.
    • (1992) Comput. Statist. Data Anal. , vol.14 , pp. 427-436
    • Felsenstein, K.1
  • 19
    • 0017428562 scopus 로고
    • Equivalence theorems and cutting plane algorithms for a class of experimental design problems
    • Gribek, P. R. and Kortanek, K. O. (1977) Equivalence theorems and cutting plane algorithms for a class of experimental design problems. SIAM J. Appl. Math., 32, 232-259.
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 232-259
    • Gribek, P.R.1    Kortanek, K.O.2
  • 20
    • 0000448225 scopus 로고
    • Optimum designs in regression problems
    • Kiefer, J. and Wolfowitz, J. (1959) Optimum designs in regression problems. Ann. Math. Statist., 30, 271-294.
    • (1959) Ann. Math. Statist. , vol.30 , pp. 271-294
    • Kiefer, J.1    Wolfowitz, J.2
  • 21
    • 0030351540 scopus 로고    scopus 로고
    • Discriminating between two binary data models: Sequentially designed experiments
    • Müller, W. G. and Ponce de Leon, A. C. (1996) Discriminating between two binary data models: sequentially designed experiments. J. Statist. Computn Simuln, 55, 87-100.
    • (1996) J. Statist. Computn Simuln , vol.55 , pp. 87-100
    • Müller, W.G.1    Ponce De Leon, A.C.2
  • 22
    • 0030587973 scopus 로고    scopus 로고
    • A nonsequential design procedure for parameter estimation and model discrimination in nonlinear regression models
    • O'Brien, T. E. and Rawlings, J. O. (1996) A nonsequential design procedure for parameter estimation and model discrimination in nonlinear regression models. J. Statist. Planng Inf., 55, 77-93.
    • (1996) J. Statist. Planng Inf. , vol.55 , pp. 77-93
    • O'Brien, T.E.1    Rawlings, J.O.2
  • 27
    • 0040056529 scopus 로고
    • Optimum experimental design for discriminating between two rival models in the presence of prior information
    • Ponce de Leon, A. C. and Atkinson, A. C. (1991) Optimum experimental design for discriminating between two rival models in the presence of prior information. Biometrika, 78, 601-608.
    • (1991) Biometrika , vol.78 , pp. 601-608
    • Ponce De Leon, A.C.1    Atkinson, A.C.2
  • 28
    • 0024032016 scopus 로고
    • Robust experimental design via maxmin optimization
    • Pronzato, L. and Walter, É. (1988) Robust experimental design via maxmin optimization. Math. Biosci., 89, 161-176.
    • (1988) Math. Biosci. , vol.89 , pp. 161-176
    • Pronzato, L.1    Walter, É.2
  • 32
    • 12844253641 scopus 로고    scopus 로고
    • Cary: SAS Institute
    • SAS Institute (2002) SAS/IML 9 User's Guide. Cary: SAS Institute.
    • (2002) SAS/IML 9 User's Guide
  • 35
    • 0018986069 scopus 로고
    • Necessary conditions for min-max problems and algorithms by a relaxation procedure
    • Shimizu, K. and Aiyoshi, E. (1980) Necessary conditions for min-max problems and algorithms by a relaxation procedure. IEEE Trans. Autom. Control, 25, 62-66.
    • (1980) IEEE Trans. Autom. Control , vol.25 , pp. 62-66
    • Shimizu, K.1    Aiyoshi, E.2
  • 37
    • 0032095686 scopus 로고    scopus 로고
    • Discrimination and goodness of fit of multiresponse mechanistic models
    • Stewart, W. E., Shon, Y. and Box, G. E. P. (1998) Discrimination and goodness of fit of multiresponse mechanistic models. Am. Inst. Chem. Engrs J., 44, 1404-1412.
    • (1998) Am. Inst. Chem. Engrs J. , vol.44 , pp. 1404-1412
    • Stewart, W.E.1    Shon, Y.2    Box, G.E.P.3
  • 38
    • 12844269149 scopus 로고    scopus 로고
    • T-optimum designs for multiresponse dynamic heteroscedastic models
    • (eds A. Di Bucchianico, H. Läuter and H. P. Wynn). Heidelberg: Physica
    • Uciński, D. and Bogacka, B. (2004) T-optimum designs for multiresponse dynamic heteroscedastic models. In mODa 7 - Advances in Model-oriented Design and Analysis (eds A. Di Bucchianico, H. Läuter and H. P. Wynn), pp. 191-199. Heidelberg: Physica.
    • (2004) MODa 7 - Advances in Model-oriented Design and Analysis , pp. 191-199
    • Uciński, D.1    Bogacka, B.2
  • 39
    • 0022546290 scopus 로고
    • A distribution-free criterion for robust identification, with applications in system modelling and image processing
    • Venot, A., Pronzato, L., Walter, É. and Lebruchec, J.-F. (1986) A distribution-free criterion for robust identification, with applications in system modelling and image processing. Automatica, 22, 105-109.
    • (1986) Automatica , vol.22 , pp. 105-109
    • Venot, A.1    Pronzato, L.2    Walter, É.3    Lebruchec, J.-F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.