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Volumn 24, Issue 3, 1996, Pages 1225-1234

A note on Bayesian c- and D-optimal designs in nonlinear regression models

Author keywords

Bayesian D optimal designs; Elfving's theorem; Geometric characterization; Nonlinear regression

Indexed keywords


EID: 0030489101     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1032526965     Document Type: Article
Times cited : (26)

References (19)
  • 2
    • 0039181486 scopus 로고
    • Bayesian design for estimating the turning point of a quadratic regression
    • CHALONER, K. (1989). Bayesian design for estimating the turning point of a quadratic regression. Comm. Statist. Theory Methods 18 1385-1400.
    • (1989) Comm. Statist. Theory Methods , vol.18 , pp. 1385-1400
    • Chaloner, K.1
  • 3
    • 38249001247 scopus 로고
    • A note on Bayesian optimal designs for non-linear problems
    • CHALONER, K. (1993). A note on Bayesian optimal designs for non-linear problems. J. Statist. Plann. Inference 37 229-236.
    • (1993) J. Statist. Plann. Inference , vol.37 , pp. 229-236
    • Chaloner, K.1
  • 4
    • 0000083715 scopus 로고
    • Optimal Bayesian design applied to logistic experiments
    • CHALONER, K. and LARNTZ, K. (1989). Optimal Bayesian design applied to logistic experiments. J. Statist. Plann. Inference 18 191-208.
    • (1989) J. Statist. Plann. Inference , vol.18 , pp. 191-208
    • Chaloner, K.1    Larntz, K.2
  • 5
    • 0000044822 scopus 로고
    • Bayesian design for accelerated life testing
    • CHALONER, K. and LARNTZ, K. (1992). Bayesian design for accelerated life testing. J. Statist. Plann. Inference 33 245-260.
    • (1992) J. Statist. Plann. Inference , vol.33 , pp. 245-260
    • Chaloner, K.1    Larntz, K.2
  • 6
    • 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
  • 7
    • 0020087639 scopus 로고
    • Model robust, linear-optimal designs
    • COOK, R. D. and NACHTSHEIM, C. J. (1982). Model robust, linear-optimal designs. Technometrics 24 49-54.
    • (1982) Technometrics , vol.24 , pp. 49-54
    • Cook, R.D.1    Nachtsheim, C.J.2
  • 8
    • 21144462850 scopus 로고
    • Elfving's theorem for D-optimality
    • DETTE, H. (1993). Elfving's theorem for D-optimality. Ann. Statist. 21 753-766.
    • (1993) Ann. Statist. , vol.21 , pp. 753-766
    • Dette, H.1
  • 9
    • 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
  • 10
    • 0001049212 scopus 로고
    • Optimum allocation in linear regression
    • ELFVING, G. (1952). Optimum allocation in linear regression. Ann. Math. Statist. 23 255-262.
    • (1952) Ann. Math. Statist. , vol.23 , pp. 255-262
    • Elfving, G.1
  • 11
    • 0000251072 scopus 로고
    • The use of canonical form in the construction of locally optimal designs for non-linear problems
    • FORD, I., TORSNEY, B. and WU, C. F. J. (1992). The use of canonical form in the construction of locally optimal designs for non-linear problems. J. Roy. Statist. Soc. Ser. B 54 569-583.
    • (1992) J. Roy. Statist. Soc. Ser. B , vol.54 , pp. 569-583
    • Ford, I.1    Torsney, B.2    Wu, C.F.J.3
  • 12
    • 0003139135 scopus 로고
    • On the role of symmetry and approximation in exact design optimality
    • S. S. Gupta and J. Yackel, eds. Academic Press, New York
    • KIEFER, J. (1971). On the role of symmetry and approximation in exact design optimality. In Statistical Decision Theory and Related Topics (S. S. Gupta and J. Yackel, eds.) 109-118. Academic Press, New York.
    • (1971) Statistical Decision Theory and Related Topics , pp. 109-118
    • Kiefer, J.1
  • 15
    • 0022093313 scopus 로고
    • Robust experimental design via stochastic approximation
    • PRONZATO, L. and WALTER, W. (1985). Robust experimental design via stochastic approximation. Math. Biosci. 75 103-120.
    • (1985) Math. Biosci. , vol.75 , pp. 103-120
    • Pronzato, L.1    Walter, W.2
  • 16
    • 0004183064 scopus 로고
    • Chapman and Hall, New York
    • SILVEY, S. D. (1980). Optimal Design. Chapman and Hall, New York.
    • (1980) Optimal Design
    • Silvey, S.D.1
  • 17
    • 0001066803 scopus 로고
    • Elfving's theorem and optimal designs for quadratic loss
    • STUDDEN, W. J. (1971). Elfving's theorem and optimal designs for quadratic loss. Ann. Math. Statist. 42 1613-1621.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1613-1621
    • Studden, W.J.1
  • 18
    • 0000908390 scopus 로고
    • Optimal designs for integrated variance in polynomial regression
    • Academic Press, New York
    • STUDDEN, W. J. (1977). Optimal designs for integrated variance in polynomial regression. In Statistical Decision Theory and Related Topics 2 411-420. Academic Press, New York.
    • (1977) Statistical Decision Theory and Related Topics , vol.2 , pp. 411-420
    • Studden, W.J.1
  • 19
    • 0000774906 scopus 로고
    • Problems and approaches in design of experiments for estimation and testing in nonlinear problems
    • P. R. Krishnaiah, ed. North-Holland, Amsterdam
    • ZACKS, S. (1977). Problems and approaches in design of experiments for estimation and testing in nonlinear problems. In Multivariate Analysis IV (P. R. Krishnaiah, ed.) 209-223. North-Holland, Amsterdam.
    • (1977) Multivariate Analysis , vol.4 , pp. 209-223
    • Zacks, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.