메뉴 건너뛰기




Volumn 13, Issue , 1996, Pages 1099-1147

29 Review of optimal bayes designs

(1)  DasGupta, Anirban a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042360187     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(96)13031-5     Document Type: Review
Times cited : (21)

References (163)
  • 2
    • 70350333645 scopus 로고
    • Insensitivity to non-optimal design in Bayesian decision theory
    • Antelman G.R. Insensitivity to non-optimal design in Bayesian decision theory. J. Amer. Statist. Assoc. 60 (1965) 584-601
    • (1965) J. Amer. Statist. Assoc. , vol.60 , pp. 584-601
    • Antelman, G.R.1
  • 5
    • 84968475569 scopus 로고
    • On the preservation of determinacy under convolution
    • Berg C. On the preservation of determinacy under convolution. Proc. Amer. Math. Soc. 93 (1985) 351-357
    • (1985) Proc. Amer. Math. Soc. , vol.93 , pp. 351-357
    • Berg, C.1
  • 6
    • 0002733744 scopus 로고
    • Indeterminate moment problems and the theory of entire functions
    • Berg C. Indeterminate moment problems and the theory of entire functions. J. Comput. Appl. Math. 65 (1995) 27-55
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 27-55
    • Berg, C.1
  • 8
    • 51649134515 scopus 로고
    • An overview of Robust Bayesian analysis
    • Berger J. An overview of Robust Bayesian analysis. Test 3 1 (1994) 5-59
    • (1994) Test , vol.3 , Issue.1 , pp. 5-59
    • Berger, J.1
  • 9
    • 0003080844 scopus 로고
    • Robustness of design against autocorrelation in time I
    • Bickel P.J., and Herzberg A.M. Robustness of design against autocorrelation in time I. Ann. Statist. 7 (1979) 77-95
    • (1979) Ann. Statist. , vol.7 , pp. 77-95
    • Bickel, P.J.1    Herzberg, A.M.2
  • 11
    • 0001641381 scopus 로고
    • Sample size determination in clinical research
    • Elsevier, New York
    • Bock J., and Toutenberg H. Sample size determination in clinical research. Handbook of Statistics Vol. 8 (1991), Elsevier, New York 515-538
    • (1991) Handbook of Statistics , vol.8 , pp. 515-538
    • Bock, J.1    Toutenberg, H.2
  • 12
    • 70350325826 scopus 로고
    • The design of experiments
    • Delhi, 1947, Indian Science Congress Association, Amsterdam
    • Bose R.C. The design of experiments. Proc. 34th Indian Sci. Cong. Delhi, 1947 (1948), Indian Science Congress Association, Amsterdam 1-25
    • (1948) Proc. 34th Indian Sci. Cong. , pp. 1-25
    • Bose, R.C.1
  • 13
    • 70350306741 scopus 로고
    • Sample size requirement: Single and double classification experiments
    • IMS (Ed), Amer. Mathematical Soc., Calcutta
    • Bowman K.O., and Kastenbaum M.A. Sample size requirement: Single and double classification experiments. In: IMS (Ed). Selected Tables in Mathematical Statistics Vol. 3 (1975), Amer. Mathematical Soc., Calcutta
    • (1975) Selected Tables in Mathematical Statistics , vol.3
    • Bowman, K.O.1    Kastenbaum, M.A.2
  • 15
    • 0000532112 scopus 로고
    • Multi-factor experimental designs for exploring response surfaces
    • Box G.E.P., and Hunter J.S. Multi-factor experimental designs for exploring response surfaces. Ann. Math. Statist. 28 (1957) 195-241
    • (1957) Ann. Math. Statist. , vol.28 , pp. 195-241
    • Box, G.E.P.1    Hunter, J.S.2
  • 16
    • 0002419565 scopus 로고
    • Design of experiments in non-linear situations
    • Box G.E.P., and Lucas H.L. Design of experiments in non-linear situations. Biometrika 46 (1959) 77-90
    • (1959) Biometrika , vol.46 , pp. 77-90
    • Box, G.E.P.1    Lucas, H.L.2
  • 17
    • 25444520131 scopus 로고
    • A decision theory approach to optimal regression designs
    • Brooks R.J. A decision theory approach to optimal regression designs. Biometrika 59 (1972) 563-571
    • (1972) Biometrika , vol.59 , pp. 563-571
    • Brooks, R.J.1
  • 18
    • 0016241874 scopus 로고
    • On the choice of an experiment for prediction in linear regression
    • Brooks R.J. On the choice of an experiment for prediction in linear regression. Biometrika 61 (1974) 303-311
    • (1974) Biometrika , vol.61 , pp. 303-311
    • Brooks, R.J.1
  • 19
    • 33746457690 scopus 로고
    • Optimal regression designs for prediction when prior knowledge is available
    • Brooks R.J. Optimal regression designs for prediction when prior knowledge is available. Metrika 23 (1976) 217-221
    • (1976) Metrika , vol.23 , pp. 217-221
    • Brooks, R.J.1
  • 20
    • 0003369433 scopus 로고
    • Fundamentals of Statistical Exponential Families
    • Hayward, CA
    • Hayward, CA. Brown L.D. Fundamentals of Statistical Exponential Families. IMS Lecture Notes - Monograph Series Vol. 9 (1986)
    • (1986) IMS Lecture Notes - Monograph Series , vol.9
    • Brown, L.D.1
  • 23
    • 0000529193 scopus 로고
    • Optimal Bayesian experimental design for linear models
    • Chaloner K. Optimal Bayesian experimental design for linear models. Ann. Statist. 12 (1984) 283-300
    • (1984) Ann. Statist. , vol.12 , pp. 283-300
    • Chaloner, K.1
  • 24
    • 70350327568 scopus 로고
    • Correction. Ann. Statist. 13 (1984) 836
    • (1984) Ann. Statist. , vol.13 , pp. 836
  • 25
    • 0039181486 scopus 로고
    • Bayesian design for estimating the turning point of a quadratic regression
    • Chaloner K. Bayesian design for estimating the turning point of a quadratic regression. Commun. Statist. Theory Methods 18 4 (1989) 1385-1400
    • (1989) Commun. Statist. Theory Methods , vol.18 , Issue.4 , pp. 1385-1400
    • Chaloner, K.1
  • 26
    • 38249001247 scopus 로고
    • A note on optimal Bayesian design for nonlinear problems
    • Chaloner K. A note on optimal Bayesian design for nonlinear problems. J. Statist. Plann. Inference 37 (1993) 229-235
    • (1993) J. Statist. Plann. Inference , vol.37 , pp. 229-235
    • Chaloner, K.1
  • 27
    • 70350316284 scopus 로고
    • Optimal Bayesian designs applied to logistic regression experiments
    • University of Minnesota, New York
    • Chaloner K., and Larntz K. Optimal Bayesian designs applied to logistic regression experiments. Tech. Report (1986), University of Minnesota, New York
    • (1986) Tech. Report
    • Chaloner, K.1    Larntz, K.2
  • 28
    • 0000083715 scopus 로고
    • Optimal Bayesian designs applied to logistic regression experiments
    • Chaloner K., and Larntz K. Optimal Bayesian designs applied to logistic regression experiments. J. Statist. Plann. Inference 21 (1989) 191-208
    • (1989) J. Statist. Plann. Inference , vol.21 , pp. 191-208
    • Chaloner, K.1    Larntz, K.2
  • 29
    • 0042694190 scopus 로고
    • Bayesian experimental design: A review
    • Department of Statistics, University of Minnesota
    • Chaloner K., and Verdinelli I. Bayesian experimental design: A review. Tech. Report (1994), Department of Statistics, University of Minnesota
    • (1994) Tech. Report
    • Chaloner, K.1    Verdinelli, I.2
  • 30
    • 0000730876 scopus 로고
    • Optimal designs for the elimination of multi-way heterogeneity
    • Cheng C.-S. Optimal designs for the elimination of multi-way heterogeneity. Ann. Statist. 6 (1978) 1262-1272
    • (1978) Ann. Statist. , vol.6 , pp. 1262-1272
    • Cheng, C.-S.1
  • 31
    • 0001653224 scopus 로고
    • Locally optimum designs for estimating parameters
    • Chernoff H. Locally optimum designs for estimating parameters. Ann. Math. Statist. 24 (1953) 586-602
    • (1953) Ann. Math. Statist. , vol.24 , pp. 586-602
    • Chernoff, H.1
  • 33
    • 0008680872 scopus 로고
    • An object-oriented system for Bayesian nonlinear design using xlispstat
    • University of Minnesota, School of Statistics, Philadelphia, PA
    • Clyde M.A. An object-oriented system for Bayesian nonlinear design using xlispstat. Tech. Report 587 (1993), University of Minnesota, School of Statistics, Philadelphia, PA
    • (1993) Tech. Report 587
    • Clyde, M.A.1
  • 35
    • 70350327566 scopus 로고
    • Uniform and subuniform posterior robustness: Sample size problem
    • Purdue University
    • DasGupta A., and Mukhopadhyay S. Uniform and subuniform posterior robustness: Sample size problem. Tech. Report (1988), Purdue University
    • (1988) Tech. Report
    • DasGupta, A.1    Mukhopadhyay, S.2
  • 36
    • 70350327565 scopus 로고
    • Robust Bayesian analysis and optimal experimental designs in normal linear models with many parameters
    • Department of Statistics, Purdue University
    • DasGupta A., and Studden W.J. Robust Bayesian analysis and optimal experimental designs in normal linear models with many parameters. I. Tech. Report (1988), Department of Statistics, Purdue University
    • (1988) I. Tech. Report
    • DasGupta, A.1    Studden, W.J.2
  • 37
    • 0000970635 scopus 로고
    • Robust Bayes designs in normal linear models
    • DasGupta A., and Studden W.J. Robust Bayes designs in normal linear models. Ann. Statist. 19 (1991) 1244-1256
    • (1991) Ann. Statist. , vol.19 , pp. 1244-1256
    • DasGupta, A.1    Studden, W.J.2
  • 38
    • 38149146368 scopus 로고
    • Uniform and subunivorm posterior robustness: The sample size problem
    • Special issue of. Proc. 1st Internat. Workshop on Bayesian Robustness
    • Special issue of. DasGupta A., and Mukhopadhyay S. Uniform and subunivorm posterior robustness: The sample size problem. Proc. 1st Internat. Workshop on Bayesian Robustness. J. Statist. Plann. Inference 40 (1994) 189-204
    • (1994) J. Statist. Plann. Inference , vol.40 , pp. 189-204
    • DasGupta, A.1    Mukhopadhyay, S.2
  • 39
    • 70350330672 scopus 로고
    • Sample sizes in ANOVA: The Bayesian point of view
    • Submitted: J. Statist. Plann. Inference, Purdue University
    • Submitted: J. Statist. Plann. Inference. DasGupta A., and Vidakovic B. Sample sizes in ANOVA: The Bayesian point of view. Tech. Report (1994), Purdue University
    • (1994) Tech. Report
    • DasGupta, A.1    Vidakovic, B.2
  • 40
    • 70350327567 scopus 로고    scopus 로고
    • Bayesian bioassay design
    • Submitted J. Statist. Plann. Inference, Purdue University
    • Submitted J. Statist. Plann. Inference. DasGupta A., and Zen M.M. Bayesian bioassay design. Tech. Report (1996), Purdue University
    • (1996) Tech. Report
    • DasGupta, A.1    Zen, M.M.2
  • 42
    • 0000744735 scopus 로고
    • Bayesian inference using intervals of measures
    • DeRobertis L., and Hartigan J.A. Bayesian inference using intervals of measures. Ann. Statist. 9 (1981) 235-244
    • (1981) Ann. Statist. , vol.9 , pp. 235-244
    • DeRobertis, L.1    Hartigan, J.A.2
  • 43
    • 0042641701 scopus 로고
    • A note on robust designs for polynomial regression
    • Dette H. A note on robust designs for polynomial regression. J. Statist. Plann. Inference 28 (1991) 223-232
    • (1991) J. Statist. Plann. Inference , vol.28 , pp. 223-232
    • Dette, H.1
  • 44
    • 0000522801 scopus 로고
    • Optimal designs for a class of polynomials of odd or even degree
    • Dette H. Optimal designs for a class of polynomials of odd or even degree. Ann. Statist. 20 (1992) 238-259
    • (1992) Ann. Statist. , vol.20 , pp. 238-259
    • Dette, H.1
  • 45
    • 21144462850 scopus 로고
    • Elfving's theorem for D-optimality
    • Dette H. Elfving's theorem for D-optimality. Ann. Statist. 21 (1993) 753-766
    • (1993) Ann. Statist. , vol.21 , pp. 753-766
    • Dette, H.1
  • 47
    • 70350314588 scopus 로고
    • Bayesian D-optimal designs for exponential regression models
    • to appear
    • to appear. Dette H., and Neugebauer H.-M. Bayesian D-optimal designs for exponential regression models. J. Statist. Plann. Inference (1993)
    • (1993) J. Statist. Plann. Inference
    • Dette, H.1    Neugebauer, H.-M.2
  • 50
    • 70350327580 scopus 로고
    • Optimal designs for polynomial regression when the degree is not known
    • Purdue University, Pacific Grove, CA
    • Dette H., and Studden W.J. Optimal designs for polynomial regression when the degree is not known. Tech. Report (1994), Purdue University, Pacific Grove, CA
    • (1994) Tech. Report
    • Dette, H.1    Studden, W.J.2
  • 51
    • 84945476782 scopus 로고
    • A geometric solution of the Bayes E-optimal design problem
    • Gupta S., and Berger J. (Eds)
    • Dette H., and Studden W.J. A geometric solution of the Bayes E-optimal design problem. In: Gupta S., and Berger J. (Eds). Statistical Decision Theory and Related Topics Vol. 5 (1994) 157-170
    • (1994) Statistical Decision Theory and Related Topics , vol.5 , pp. 157-170
    • Dette, H.1    Studden, W.J.2
  • 52
    • 0000087886 scopus 로고
    • Bayesian numerical analysis
    • IV. Gupta S., and Berger J. (Eds)
    • IV. Diaconis P. Bayesian numerical analysis. In: Gupta S., and Berger J. (Eds). Statistical Decition Theory and Related Topics Vol. 1 (1987) 163-176
    • (1987) Statistical Decition Theory and Related Topics , vol.1 , pp. 163-176
    • Diaconis, P.1
  • 53
    • 0001851198 scopus 로고
    • Application of the method of moments in probability and statistics
    • Amer. Mathematical Soc.
    • Diaconis P. Application of the method of moments in probability and statistics. Moments in Mathematics (1987), Amer. Mathematical Soc.
    • (1987) Moments in Mathematics
    • Diaconis, P.1
  • 54
    • 70350279105 scopus 로고
    • The construction of exact D-optimum experimental designs
    • University of London, Providence, RI
    • Donev A.N. The construction of exact D-optimum experimental designs. Ph.D. Thesis (1988), University of London, Providence, RI
    • (1988) Ph.D. Thesis
    • Donev, A.N.1
  • 56
    • 0009299114 scopus 로고
    • A predictive approach to the Bayesian design problem with application to normal regression models
    • School of Statistics, University of Minnesota
    • Eaton M.L., Giovagnoli A., and Sebastiani P. A predictive approach to the Bayesian design problem with application to normal regression models. Tech. Report 598 (1994), School of Statistics, University of Minnesota
    • (1994) Tech. Report 598
    • Eaton, M.L.1    Giovagnoli, A.2    Sebastiani, P.3
  • 57
    • 0001049212 scopus 로고
    • Optimum allocation in linear regression theory
    • Elfving G. Optimum allocation in linear regression theory. Ann. Math. Statist. 23 (1952) 255-262
    • (1952) Ann. Math. Statist. , vol.23 , pp. 255-262
    • Elfving, G.1
  • 58
    • 0040183409 scopus 로고
    • Bayesian optimal designs for linear regression models
    • El-Krunz S.M., and Studden W.J. Bayesian optimal designs for linear regression models. Ann. Statist. 19 (1991) 2183-2208
    • (1991) Ann. Statist. , vol.19 , pp. 2183-2208
    • El-Krunz, S.M.1    Studden, W.J.2
  • 60
    • 0009038164 scopus 로고
    • Problems and results on the theory of interpolation, I
    • Erdos P. Problems and results on the theory of interpolation, I. Acta. Math. Acad. Sci. Hungar. 9 (1958) 381-388
    • (1958) Acta. Math. Acad. Sci. Hungar. , vol.9 , pp. 381-388
    • Erdos, P.1
  • 63
    • 84972507662 scopus 로고
    • Who solved the secretary problem?
    • Ferguson T.S. Who solved the secretary problem?. Statist. Sci. 4 3 (1989) 282-296
    • (1989) Statist. Sci. , vol.4 , Issue.3 , pp. 282-296
    • Ferguson, T.S.1
  • 65
    • 0000945144 scopus 로고
    • The secretary problem and its extensions - A review
    • Freeman P.R. The secretary problem and its extensions - A review. Internat. Statist. Rev. 51 (1983) 189-206
    • (1983) Internat. Statist. Rev. , vol.51 , pp. 189-206
    • Freeman, P.R.1
  • 66
    • 70350328780 scopus 로고
    • Experimental determination of the maximum of a function
    • McGraw-Hill, New York
    • Friedman M., and Savage L.J. Experimental determination of the maximum of a function. Selected Techniques of Statistical Analysis (1947), McGraw-Hill, New York 363-372
    • (1947) Selected Techniques of Statistical Analysis , pp. 363-372
    • Friedman, M.1    Savage, L.J.2
  • 67
    • 0000527871 scopus 로고
    • Exact D-optimum designs for quadratic regression
    • Gaffke N., and Krafft O. Exact D-optimum designs for quadratic regression. J. Roy. Statist. Soc. Ser. B 44 (1982) 394-397
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 394-397
    • Gaffke, N.1    Krafft, O.2
  • 70
    • 0011545959 scopus 로고
    • Bayes D-optimal and E-optimal block designs
    • Giovagnoli A., and Verdinelli I. Bayes D-optimal and E-optimal block designs. Biometrika 70 3 (1983) 695-706
    • (1983) Biometrika , vol.70 , Issue.3 , pp. 695-706
    • Giovagnoli, A.1    Verdinelli, I.2
  • 71
    • 0011546252 scopus 로고
    • Optimal block designs under a Hierarchical linear model
    • Bernardo J.M., et al. (Ed), North-Holland, New York
    • Giovagnoli A., and Verdinelli I. Optimal block designs under a Hierarchical linear model. In: Bernardo J.M., et al. (Ed). Bayesian Statistics Vol. 2 (1985), North-Holland, New York
    • (1985) Bayesian Statistics , vol.2
    • Giovagnoli, A.1    Verdinelli, I.2
  • 72
    • 33846825787 scopus 로고
    • Construction of optimal designs in random coefficient regression models
    • Gladitz J., and Pilz J. Construction of optimal designs in random coefficient regression models. Math. Operationsforsch. Statist. Ser. Statist. 13 (1982) 371-385
    • (1982) Math. Operationsforsch. Statist. Ser. Statist. , vol.13 , pp. 371-385
    • Gladitz, J.1    Pilz, J.2
  • 74
    • 0023454263 scopus 로고
    • The application of the annealing algorithm to the construction of exact D-optimum designs for linear-regression models
    • Haines L.M. The application of the annealing algorithm to the construction of exact D-optimum designs for linear-regression models. Technometrics 29 (1987) 439-447
    • (1987) Technometrics , vol.29 , pp. 439-447
    • Haines, L.M.1
  • 75
    • 84972498584 scopus 로고
    • Optimal designs for comparing test treatments with a control
    • Discussion 3, 477-491
    • Discussion 3, 477-491. Hedayat A.S., Jacroux M., and Majumdar D. Optimal designs for comparing test treatments with a control. Statist. Sci. 3 (1988) 462-476
    • (1988) Statist. Sci. , vol.3 , pp. 462-476
    • Hedayat, A.S.1    Jacroux, M.2    Majumdar, D.3
  • 76
    • 0001734003 scopus 로고
    • Recent work on the design of experiments: A bibliography and a review
    • Herzberg A.M., and Cox D.R. Recent work on the design of experiments: A bibliography and a review. J. Roy. Statist. Soc. Ser. A 132 (1969) 29-67
    • (1969) J. Roy. Statist. Soc. Ser. A , vol.132 , pp. 29-67
    • Herzberg, A.M.1    Cox, D.R.2
  • 77
    • 0000171374 scopus 로고
    • Robust statistics: A review
    • Huber P.J. Robust statistics: A review. Ann. Math. Statist. 43 (1972) 1041-1067
    • (1972) Ann. Math. Statist. , vol.43 , pp. 1041-1067
    • Huber, P.J.1
  • 82
    • 0000399563 scopus 로고
    • Off-line quality control, parameter design, and the Taguchi method
    • Kacker R.N. Off-line quality control, parameter design, and the Taguchi method. J. Qual. Tech. 17 (1985) 176-188
    • (1985) J. Qual. Tech. , vol.17 , pp. 176-188
    • Kacker, R.N.1
  • 85
    • 0002515295 scopus 로고
    • The general moment problem, a geometric approach
    • Kemperman J.H.B. The general moment problem, a geometric approach. Ann. Math. Statist. 39 (1968) 93-122
    • (1968) Ann. Math. Statist. , vol.39 , pp. 93-122
    • Kemperman, J.H.B.1
  • 87
    • 84968496713 scopus 로고
    • Sequential minimax search for a maximum
    • Kiefer J. Sequential minimax search for a maximum. Proc. Amer. Math. Soc. 4 (1953) 502-506
    • (1953) Proc. Amer. Math. Soc. , vol.4 , pp. 502-506
    • Kiefer, J.1
  • 89
    • 0001675527 scopus 로고
    • Optimum experimental designs
    • Discussion on Dr. Kiefer's paper 21, 304-319
    • Discussion on Dr. Kiefer's paper 21, 304-319. Kiefer J.C. Optimum experimental designs. J. Roy. Statist. Soc. Ser. B 21 (1959) 272-304
    • (1959) J. Roy. Statist. Soc. Ser. B , vol.21 , pp. 272-304
    • Kiefer, J.C.1
  • 90
    • 0000981128 scopus 로고
    • General equivalence theory for optimum designs (approximate theory)
    • Kiefer J.C. General equivalence theory for optimum designs (approximate theory). Ann. Statist. 2 (1974) 849-879
    • (1974) Ann. Statist. , vol.2 , pp. 849-879
    • Kiefer, J.C.1
  • 91
    • 0000448225 scopus 로고
    • Optimum designs on regression problems
    • Kiefer J., and Wolfowitz J. Optimum designs on regression problems. Ann. Math. Statist. 30 (1959) 271-294
    • (1959) Ann. Math. Statist. , vol.30 , pp. 271-294
    • Kiefer, J.1    Wolfowitz, J.2
  • 92
    • 0010063171 scopus 로고
    • Optimal designs for large degree polynomial regression
    • Kiefer J.C., and Studden W.J. Optimal designs for large degree polynomial regression. Ann. Statist. 4 (1976) 1113-1123
    • (1976) Ann. Statist. , vol.4 , pp. 1113-1123
    • Kiefer, J.C.1    Studden, W.J.2
  • 95
    • 0011608434 scopus 로고
    • Optimal design of complex experiments with qualitative factors of influence
    • Kurotschka V. Optimal design of complex experiments with qualitative factors of influence. Commun. Statist. Theory Methods 7 (1978) 1363-1378
    • (1978) Commun. Statist. Theory Methods , vol.7 , pp. 1363-1378
    • Kurotschka, V.1
  • 96
    • 0000823651 scopus 로고
    • Optimal designs for trigonometric and polynomial regression using canonical moments
    • Lau T.-S., and Studden W.J. Optimal designs for trigonometric and polynomial regression using canonical moments. Ann. Statist. 13 (1985) 383-394
    • (1985) Ann. Statist. , vol.13 , pp. 383-394
    • Lau, T.-S.1    Studden, W.J.2
  • 100
    • 0001249987 scopus 로고
    • On a measure of the information provided by an experiment
    • Lindley D.V. On a measure of the information provided by an experiment. Ann. Math. Statist. 27 (1956) 986-1005
    • (1956) Ann. Math. Statist. , vol.27 , pp. 986-1005
    • Lindley, D.V.1
  • 101
    • 0011602146 scopus 로고
    • Optimal designs for comparing test treatments with a control using prior information
    • Majumdar D. Optimal designs for comparing test treatments with a control using prior information. Ann. Statist. 20 (1992) 216-237
    • (1992) Ann. Statist. , vol.20 , pp. 216-237
    • Majumdar, D.1
  • 103
    • 0000168607 scopus 로고
    • Robust design for regression problems
    • Gupta S., and Moore D. (Eds)
    • Marcus M.B., and Sacks J. Robust design for regression problems. In: Gupta S., and Moore D. (Eds). Statistical Decision Theory and Related Topics Vol. 2 (1976) 245-268
    • (1976) Statistical Decision Theory and Related Topics , vol.2 , pp. 245-268
    • Marcus, M.B.1    Sacks, J.2
  • 104
    • 21844519531 scopus 로고
    • Asymptotic Bayes criteria for nonparametric response surface design
    • Mitchell T., Sacks J., and Ylvisaker D. Asymptotic Bayes criteria for nonparametric response surface design. Ann. Statist. 22 (1994) 634-651
    • (1994) Ann. Statist. , vol.22 , pp. 634-651
    • Mitchell, T.1    Sacks, J.2    Ylvisaker, D.3
  • 105
    • 70350313042 scopus 로고
    • Bayesian D-optimal designs for the exponential growth model
    • to appear
    • to appear. Mukhopadhyay S., and Haines L. Bayesian D-optimal designs for the exponential growth model. J. Statist. Plann. Inference (1993)
    • (1993) J. Statist. Plann. Inference
    • Mukhopadhyay, S.1    Haines, L.2
  • 106
    • 70350317668 scopus 로고
    • Systematization and codification of the experimental designs - The survey of the works of Soviet statisticians
    • Colloquia Mathematica Societatis János Bolyai 9. Gani J., Sarkadi K., and Vincze I. (Eds), North-Holland, New York
    • Nalimov V.V. Systematization and codification of the experimental designs - The survey of the works of Soviet statisticians. In: Gani J., Sarkadi K., and Vincze I. (Eds). Colloquia Mathematica Societatis János Bolyai 9. Progress in Statistics. European Meeting of Statisticians, Budapest 1972 Vol. 2 (1974), North-Holland, New York 565-581
    • (1974) Progress in Statistics. European Meeting of Statisticians, Budapest 1972 , vol.2 , pp. 565-581
    • Nalimov, V.V.1
  • 109
    • 0002978835 scopus 로고
    • Curve fitting and optimal design for prediction (with discussion)
    • O'Hagan A. Curve fitting and optimal design for prediction (with discussion). J. Roy. Statist. Soc. Ser. B 40 (1978) 1-41
    • (1978) J. Roy. Statist. Soc. Ser. B , vol.40 , pp. 1-41
    • O'Hagan, A.1
  • 110
    • 0011612616 scopus 로고
    • The optimum design of a two-factor experiment using prior information
    • Owen R.J. The optimum design of a two-factor experiment using prior information. Ann. Math. Statist. 41 (1970) 1917-1934
    • (1970) Ann. Math. Statist. , vol.41 , pp. 1917-1934
    • Owen, R.J.1
  • 112
    • 70350319292 scopus 로고
    • Robust Bayes and minimax-Bayes estimation and design in linear regression
    • Pilz J. Robust Bayes and minimax-Bayes estimation and design in linear regression. Math. Operationsforsch. Statist. Ser. Statist. 12 (1981) 163-177
    • (1981) Math. Operationsforsch. Statist. Ser. Statist. , vol.12 , pp. 163-177
    • Pilz, J.1
  • 114
    • 70350331972 scopus 로고
    • Sensitivity analysis for general and hierarchical linear regression models
    • Goel P.K., and Zellner A. (Eds), North-Holland, New York
    • Polasek W. Sensitivity analysis for general and hierarchical linear regression models. In: Goel P.K., and Zellner A. (Eds). Bayesian Inference and Decision Techniques with Applications (1985), North-Holland, New York 375-387
    • (1985) Bayesian Inference and Decision Techniques with Applications , pp. 375-387
    • Polasek, W.1
  • 116
    • 0000438680 scopus 로고
    • On linear regression designs which maximize information
    • Pukelsheim F. On linear regression designs which maximize information. J. Statist. Plann. Inference 4 (1980) 339-364
    • (1980) J. Statist. Plann. Inference , vol.4 , pp. 339-364
    • Pukelsheim, F.1
  • 117
    • 70350330671 scopus 로고
    • Analysis of variability by analysis of variance
    • Dodge Y., Fedorov V.V., and Wynn H.P. (Eds), North-Holland, New York
    • Pukelsheim F. Analysis of variability by analysis of variance. In: Dodge Y., Fedorov V.V., and Wynn H.P. (Eds). Optimal Design and Analysis of Experiments (1988), North-Holland, New York
    • (1988) Optimal Design and Analysis of Experiments
    • Pukelsheim, F.1
  • 118
    • 0001355083 scopus 로고
    • Efficient rounding of approximate designs
    • Pukelsheim F., and Rieder S. Efficient rounding of approximate designs. Biometrika 79 (1992) 763-770
    • (1992) Biometrika , vol.79 , pp. 763-770
    • Pukelsheim, F.1    Rieder, S.2
  • 120
    • 21144471847 scopus 로고
    • E-optimal designs for polynomial regression
    • Pukelsheim F., and Studden W.J. E-optimal designs for polynomial regression. Ann. Statist. 21 1 (1993)
    • (1993) Ann. Statist. , vol.21 , Issue.1
    • Pukelsheim, F.1    Studden, W.J.2
  • 121
    • 70350309899 scopus 로고
    • Difference sets and combinatorial arrangements derivable from finite geometries
    • Rao C.R. Difference sets and combinatorial arrangements derivable from finite geometries. Proc. Nat. Inst. Sci. 12 (1946) 123-135
    • (1946) Proc. Nat. Inst. Sci. , vol.12 , pp. 123-135
    • Rao, C.R.1
  • 122
    • 0000580915 scopus 로고
    • Factorial experiments derivable from combinatorial arrangements of arrays
    • Rao C.R. Factorial experiments derivable from combinatorial arrangements of arrays. J. Roy. Statist. Soc. Ser. B 9 (1947) 128-140
    • (1947) J. Roy. Statist. Soc. Ser. B , vol.9 , pp. 128-140
    • Rao, C.R.1
  • 126
    • 0038541253 scopus 로고
    • Bounds on a distribution function when its first n moments are given
    • Royden H.L. Bounds on a distribution function when its first n moments are given. Ann. Math. Statist. 24 (1953) 361-376
    • (1953) Ann. Math. Statist. , vol.24 , pp. 361-376
    • Royden, H.L.1
  • 127
    • 77649170673 scopus 로고
    • Robust Bayesian estimation
    • Gupta S., and Moore D. (Eds)
    • Rubin H. Robust Bayesian estimation. In: Gupta S., and Moore D. (Eds). Statistical Decision Theory and Related Topics Vol. 2 (1977) 351-356
    • (1977) Statistical Decision Theory and Related Topics , vol.2 , pp. 351-356
    • Rubin, H.1
  • 131
    • 0000006130 scopus 로고
    • Designs for regression problems with correlated errors III
    • Sacks J., and Ylvisaker D. Designs for regression problems with correlated errors III. Ann. Math. Statist. 41 (1964) 2057-2074
    • (1964) Ann. Math. Statist. , vol.41 , pp. 2057-2074
    • Sacks, J.1    Ylvisaker, D.2
  • 133
    • 12544253067 scopus 로고
    • On the maximization of some Hankel determiants and zeros of classical orthogonal polynomials
    • Schoenberg I.J. On the maximization of some Hankel determiants and zeros of classical orthogonal polynomials. Indag. Math. 21 (1959) 282-290
    • (1959) Indag. Math. , vol.21 , pp. 282-290
    • Schoenberg, I.J.1
  • 134
    • 70350320812 scopus 로고
    • Using prior information in designing intervention detection experiments
    • Schumacher P., and Zidek J.V. Using prior information in designing intervention detection experiments. Ann. Statist. 21 (1993) 447-463
    • (1993) Ann. Statist. , vol.21 , pp. 447-463
    • Schumacher, P.1    Zidek, J.V.2
  • 135
    • 0037486058 scopus 로고
    • Asymptotic shapes of Bayes sequential testing regions
    • Schwarz G. Asymptotic shapes of Bayes sequential testing regions. Ann. Math. Statist. 33 (1962) 224-236
    • (1962) Ann. Math. Statist. , vol.33 , pp. 224-236
    • Schwarz, G.1
  • 139
  • 140
    • 0000893312 scopus 로고
    • Extreme nth moments for distributions on [0,1]and the inverse of a moment space map
    • Skibinsky M. Extreme nth moments for distributions on [0,1]and the inverse of a moment space map. J. Appl. Probab. 5 (1968) 693-701
    • (1968) J. Appl. Probab. , vol.5 , pp. 693-701
    • Skibinsky, M.1
  • 141
    • 0012300528 scopus 로고
    • A note on Bayesian design for inference using a Hierarchical linear model
    • Smith A.F.M., and Verdinelli I. A note on Bayesian design for inference using a Hierarchical linear model. Biometrika 67 (1980) 613-619
    • (1980) Biometrika , vol.67 , pp. 613-619
    • Smith, A.F.M.1    Verdinelli, I.2
  • 142
    • 0001886615 scopus 로고
    • On the standard deviations of adjusted and interpolated values of an observed polynomial function and its constants and the guidance they give towards a proper choice of the distribution of observations
    • Smith K. On the standard deviations of adjusted and interpolated values of an observed polynomial function and its constants and the guidance they give towards a proper choice of the distribution of observations. Biometrika 12 (1918) 1-85
    • (1918) Biometrika , vol.12 , pp. 1-85
    • Smith, K.1
  • 143
    • 0022592003 scopus 로고
    • A predictive approach to selecting the size of a clinical trial, based on subjective clinical opinion
    • Spiegelhalter D.J., and Freedman L.S. A predictive approach to selecting the size of a clinical trial, based on subjective clinical opinion. Statist. Med. 5 (1986) 1-13
    • (1986) Statist. Med. , vol.5 , pp. 1-13
    • Spiegelhalter, D.J.1    Freedman, L.S.2
  • 144
    • 0010935828 scopus 로고
    • Remarks on sequential point estimation
    • Starr N., and Woodroofe M.B. Remarks on sequential point estimation. Proc. Nat. Acad. Sci. 63 (1969) 285-288
    • (1969) Proc. Nat. Acad. Sci. , vol.63 , pp. 285-288
    • Starr, N.1    Woodroofe, M.B.2
  • 146
    • 0021428040 scopus 로고
    • Experimental design: Review and comment
    • Steinberg D.M., and Hunter W.G. Experimental design: Review and comment. Technometrics 26 (1984) 71-97
    • (1984) Technometrics , vol.26 , pp. 71-97
    • Steinberg, D.M.1    Hunter, W.G.2
  • 147
    • 84948260204 scopus 로고
    • Optimal experimental design for polynomial regression
    • Stigler S.M. Optimal experimental design for polynomial regression. J. Amer. Statist. Assoc. 66 (1971) 311-318
    • (1971) J. Amer. Statist. Assoc. , vol.66 , pp. 311-318
    • Stigler, S.M.1
  • 148
    • 49549158864 scopus 로고
    • Gergonne's 1815 paper on the design and analysis of polynomial regression experiments
    • Stigler S.M. Gergonne's 1815 paper on the design and analysis of polynomial regression experiments. Historia Math. 1 (1974) 431-447
    • (1974) Historia Math. , vol.1 , pp. 431-447
    • Stigler, S.M.1
  • 149
    • 0000908390 scopus 로고
    • Optimal designs for integrated variance in polynomial regression
    • Gupta S.S., and Moore D.S. (Eds). Purdue University, 1976, Academic Press, New York
    • Studden W.J. Optimal designs for integrated variance in polynomial regression. In: Gupta S.S., and Moore D.S. (Eds). Statistical Decision Theory and Related Topics II. Proc. Symp. Purdue University, 1976 (1977), Academic Press, New York 411-420
    • (1977) Statistical Decision Theory and Related Topics II. Proc. Symp. , pp. 411-420
    • Studden, W.J.1
  • 150
    • 0000536027 scopus 로고
    • Some robust-type D-optimal designs in polynomial regression
    • Studden W.J. Some robust-type D-optimal designs in polynomial regression. J. Amer. Statist. Assoc. 77 (1982) 916-921
    • (1982) J. Amer. Statist. Assoc. , vol.77 , pp. 916-921
    • Studden, W.J.1
  • 151
    • 21144472636 scopus 로고
    • Minimax regression designs under uniform departure models
    • Tang D.-i. Minimax regression designs under uniform departure models. Ann. Statist. 21 (1993) 434-446
    • (1993) Ann. Statist. , vol.21 , pp. 434-446
    • Tang, D.-i.1
  • 152
    • 0001840685 scopus 로고
    • Bayesian optimal experimental design for treatment control comparisons in the presence of two-way heterogeneity
    • Toman B., and Notz W. Bayesian optimal experimental design for treatment control comparisons in the presence of two-way heterogeneity. J. Statist. Plann. Inference 27 (1991) 51-63
    • (1991) J. Statist. Plann. Inference , vol.27 , pp. 51-63
    • Toman, B.1    Notz, W.2
  • 153
    • 44049109831 scopus 로고
    • Bayesian robust experimental designs for the one-way analysis of variance
    • Toman B. Bayesian robust experimental designs for the one-way analysis of variance. Statist. Probab. Lett. 15 (1992) 395-400
    • (1992) Statist. Probab. Lett. , vol.15 , pp. 395-400
    • Toman, B.1
  • 154
    • 38249003022 scopus 로고
    • Robust Bayesian experimental design and estimation for analysis of variance models using a class of normal mixtures
    • Toman B., and Gastwirth J.L. Robust Bayesian experimental design and estimation for analysis of variance models using a class of normal mixtures. J. Statist. Plann. Inference 35 (1993) 383-398
    • (1993) J. Statist. Plann. Inference , vol.35 , pp. 383-398
    • Toman, B.1    Gastwirth, J.L.2
  • 155
    • 70350331982 scopus 로고
    • Computing Bayes D- and E-optimal designs for a two-way model
    • Verdinelli I. Computing Bayes D- and E-optimal designs for a two-way model. The Statistician 32 (1983) 161-167
    • (1983) The Statistician , vol.32 , pp. 161-167
    • Verdinelli, I.1
  • 156
    • 34547398346 scopus 로고
    • Target attainment and experimental design, a Bayesian approach
    • Dodge Y., Dedorov V.V., and Wynn H.P. (Eds), North-Holland, New York
    • Verdinelli I., and Wynn H.P. Target attainment and experimental design, a Bayesian approach. In: Dodge Y., Dedorov V.V., and Wynn H.P. (Eds). Optimal Design and Analysis of Experiments (1988), North-Holland, New York
    • (1988) Optimal Design and Analysis of Experiments
    • Verdinelli, I.1    Wynn, H.P.2
  • 157
    • 0013097818 scopus 로고
    • On the efficient design of statistical investigations
    • Wald A. On the efficient design of statistical investigations. Ann. Math. Statist. 14 (1943) 134-140
    • (1943) Ann. Math. Statist. , vol.14 , pp. 134-140
    • Wald, A.1
  • 158
    • 0000083758 scopus 로고
    • Recent methodological advances in Robust Bayesian inference
    • Bernardo J., et al. (Ed), Oxford Univ. Press, New York
    • Wasserman L. Recent methodological advances in Robust Bayesian inference. In: Bernardo J., et al. (Ed). Bayesian Statistics Vol. 4 (1992), Oxford Univ. Press, New York
    • (1992) Bayesian Statistics , vol.4
    • Wasserman, L.1
  • 159
    • 0000529562 scopus 로고
    • Some general points in the theory of optimal experimental design
    • Whittle P. Some general points in the theory of optimal experimental design. J. Roy. Statist. Soc. Ser. B 35 (1973) 123-130
    • (1973) J. Roy. Statist. Soc. Ser. B , vol.35 , pp. 123-130
    • Whittle, P.1
  • 161
    • 0002912952 scopus 로고
    • Optimal design for percentile estimation of a quantal response curve
    • Dodge Y., Fedorov V.V., and Wynn H.P. (Eds), North-Holland, New York
    • Wu C.-F. Optimal design for percentile estimation of a quantal response curve. In: Dodge Y., Fedorov V.V., and Wynn H.P. (Eds). Optimal Design and Analysis of Experiments (1988), North-Holland, New York
    • (1988) Optimal Design and Analysis of Experiments
    • Wu, C.-F.1
  • 162
    • 3042554812 scopus 로고
    • Optimum designs for finite populations sampling
    • Gupta S.S., and Moore D.S. (Eds). Purdue University, 1976, Academic Press, Amsterdam
    • Wynn H.P. Optimum designs for finite populations sampling. In: Gupta S.S., and Moore D.S. (Eds). Statistical Decision Theory and Related Topics II. Proc. Symp. Purdue University, 1976 (1977), Academic Press, Amsterdam 471-478
    • (1977) Statistical Decision Theory and Related Topics II. Proc. Symp. , pp. 471-478
    • Wynn, H.P.1
  • 163
    • 70350291741 scopus 로고
    • Jack Kiefer's contributions to experimental design
    • Wynn H.P. Jack Kiefer's contributions to experimental design. Ann. Statist. 12 (1984) 416-423
    • (1984) Ann. Statist. , vol.12 , pp. 416-423
    • Wynn, H.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.