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Volumn 29, Issue 2, 2001, Pages 561-576

Maximin designs for exponential growth models and heteroscedastic polynomial models

Author keywords

Approximate design; Maximin criterion; Nonlinear design problem; Standardized criterion

Indexed keywords


EID: 0035618158     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1009210553     Document Type: Article
Times cited : (44)

References (28)
  • 1
  • 2
    • 38249001247 scopus 로고
    • A note on optimal Bayesian design for nonlinear problems
    • CHALONER, K. (1993). A note on optimal Bayesian design for nonlinear problems. J. Statist. Plann. Inference 37 229-235.
    • (1993) J. Statist. Plann. Inference , vol.37 , pp. 229-235
    • Chaloner, K.1
  • 3
    • 0031571408 scopus 로고    scopus 로고
    • D-optimal designs for weighted polynomial regression
    • CHANG, F.-C. and LIN, G.-C. (1997). D-optimal designs for weighted polynomial regression. J. Statist. Plann. Inference 62 317-331.
    • (1997) J. Statist. Plann. Inference , vol.62 , pp. 317-331
    • Chang, F.-C.1    Lin, G.-C.2
  • 4
    • 0001653224 scopus 로고
    • Locally optimal designs for estimating parameters
    • CHERNOFF, H. (1953). Locally optimal designs for estimating parameters. Ann. Math. Statist. 24 586-602.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 586-602
    • Chernoff, H.1
  • 5
    • 0002487793 scopus 로고    scopus 로고
    • Designing experiments with respect to 'standardized' optimality criteria
    • DETTE, H. (1997). 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
    • 0030167511 scopus 로고    scopus 로고
    • Bayesian optimal one point designs for one parameter nonlinear models
    • DETTE, H. and NEUGEBAUER, H.-M. (1996). Bayesian optimal one point designs for one parameter nonlinear models. J. Statist. Plann. Inference 52 17-31.
    • (1996) J. Statist. Plann. Inference , vol.52 , pp. 17-31
    • Dette, H.1    Neugebauer, H.-M.2
  • 7
    • 0031570184 scopus 로고    scopus 로고
    • Bayesian D-optimal designs for exponential regression models
    • DETTE, H. and NEUGEBAUER, H.-M. (1997). Bayesian D-optimal designs for exponential regression models. J. Statist. Plann. Inference 60 331-349.
    • (1997) J. Statist. Plann. Inference , vol.60 , pp. 331-349
    • Dette, H.1    Neugebauer, H.-M.2
  • 8
    • 0038864482 scopus 로고
    • A note on Bayesian D-optimal designs for a generalization of the exponential growth model
    • DETTE, H. and SPERLICH, S. (1994). A note on Bayesian D-optimal designs for a generalization of the exponential growth model. South African Statist. J. 28 103-117.
    • (1994) South African Statist. J. , vol.28 , pp. 103-117
    • Dette, H.1    Sperlich, S.2
  • 9
    • 0030350546 scopus 로고    scopus 로고
    • Optimal Bayesian designs for models with partially specified heteroscedastic structure
    • DETTE, H. and WONG, W. K. (1996). Optimal Bayesian designs for models with partially specified heteroscedastic structure. Ann. Statist. 24 2108-2127.
    • (1996) Ann. Statist. , vol.24 , pp. 2108-2127
    • Dette, H.1    Wong, W.K.2
  • 10
    • 0000376239 scopus 로고    scopus 로고
    • Bayesian D-optimal designs on a fixed number of design points for heteroscedastic polynomial models
    • DETTE, H. and WONG, W. K. (1998). Bayesian D-optimal designs on a fixed number of design points for heteroscedastic polynomial models. Biometrika 85 869-882.
    • (1998) Biometrika , vol.85 , pp. 869-882
    • Dette, H.1    Wong, W.K.2
  • 11
    • 0024606752 scopus 로고
    • Recent advances in nonlinear experimental design
    • FORD, I., TITTERINGTON, D. M. and KITSOS, C. P. (1989). Recent advances in nonlinear experimental design. Technometrics 31 49-60.
    • (1989) Technometrics , vol.31 , pp. 49-60
    • Ford, I.1    Titterington, D.M.2    Kitsos, C.P.3
  • 12
    • 0000631549 scopus 로고
    • A geometric approach to optimal design for one-parameter non-linear models
    • HAINES, L. M. (1995). A geometric approach to optimal design for one-parameter non-linear models. J. Roy. Statist. Soc. Ser. B 57 575-598.
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 575-598
    • Haines, L.M.1
  • 13
    • 0000615117 scopus 로고
    • D-optimal designs for polynomial regression without an intercept
    • HUANG, M.-N. L., CHANG, F.-C. and WONG, W. K. (1995). D-optimal designs for polynomial regression without an intercept. Statist. Sinica 5 441-458.
    • (1995) Statist. Sinica , vol.5 , pp. 441-458
    • Huang, M.-N.L.1    Chang, F.-C.2    Wong, W.K.3
  • 14
    • 0034021940 scopus 로고    scopus 로고
    • A graphical method for finding maximin efficiency designs
    • IMHOF, L. and WONG, W. K. (2000). A graphical method for finding maximin efficiency designs. Biometrics 56 113-117.
    • (2000) Biometrics , vol.56 , pp. 113-117
    • Imhof, L.1    Wong, W.K.2
  • 16
    • 0000852422 scopus 로고
    • Bayesian D-optimal designs for the exponential growth model
    • MUKHOPADHYAY, S. and HAINES, L. M. (1995). Bayesian D-optimal designs for the exponential growth model. J. Statist. Plann. Inference 44 385-397.
    • (1995) J. Statist. Plann. Inference , vol.44 , pp. 385-397
    • Mukhopadhyay, S.1    Haines, L.M.2
  • 18
    • 0024032016 scopus 로고
    • Robust experiment design via maximin optimization
    • PRONZATO, L. and WALTER, E. (1988). Robust experiment design via maximin optimization. Math. Biosci. 89 161-176.
    • (1988) Math. Biosci. , vol.89 , pp. 161-176
    • Pronzato, L.1    Walter, E.2
  • 20
    • 0039990368 scopus 로고
    • Discussion of "constrained optimization of experimental design,"
    • D. Cook and V. Fedorov
    • PUKELSHEIM, F. and WILHELM, A. (1995). Discussion of "Constrained optimization of experimental design," by D. Cook and V. Fedorov. Statistics 26 168-172.
    • (1995) Statistics , vol.26 , pp. 168-172
    • Pukelsheim, F.1    Wilhelm, A.2
  • 25
  • 28
    • 0001328961 scopus 로고
    • A unified approach to the construction of minimax designs
    • WONG, W. K. (1992). A unified approach to the construction of minimax designs. Biometrika 79 611-619.
    • (1992) Biometrika , vol.79 , pp. 611-619
    • Wong, W.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.