메뉴 건너뛰기




Volumn 31, Issue 1, 1989, Pages 49-60

Recent advances in nonlinear experimental design

Author keywords

Nonlinear regression; Optimal design; Quanta1 response; Sequential design

Indexed keywords

MATHEMATICAL TECHNIQUES--NONLINEAR EQUATIONS;

EID: 0024606752     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1989.10488475     Document Type: Article
Times cited : (212)

References (89)
  • 4
    • 0015741434 scopus 로고
    • A Simple Method for Constructing Exact Tests for Sequentially Designed Experiments
    • Andrews, D. F., and Herzberg, A. M. (1973), “A Simple Method for Constructing Exact Tests for Sequentially Designed Experiments,” Biometrika, 60, 487-497.
    • (1973) Biometrika , vol.60 , pp. 487-497
    • Andrews, D.F.1    Herzberg, A.M.2
  • 5
    • 84952530909 scopus 로고
    • Statistical Designs for Pilot-Plant and Laboratory Experiments—Part I
    • Atkinson, A. C. (1966), “Statistical Designs for Pilot-Plant and Laboratory Experiments—Part I,” Chemical Engineering, 73, 149-154.
    • (1966) Chemical Engineering , vol.73 , pp. 149-154
    • Atkinson, A.C.1
  • 6
    • 0000953829 scopus 로고
    • Developments in the Design of Experiments
    • Atkinson, A. C. (1982), “Developments in the Design of Experiments.” International Statistical Review, 50, 161-177.
    • (1982) International Statistical Review , vol.50 , pp. 161-177
    • Atkinson, A.C.1
  • 7
    • 0020844706 scopus 로고
    • “The Derivative of
    • Bates, D. M. (1983), “The Derivative of \X'X\ and Its Uses,” Technometrics, 25, 373-376.
    • (1983) Technometrics , vol.25 , pp. 373-376
    • Bates, D.M.1
  • 9
    • 0002256849 scopus 로고
    • Relative Curvature Measures of Nonlinearity (With discussion)
    • Ser. B
    • Bates, D. M., and Watts, D. G. (1980), “Relative Curvature Measures of Nonlinearity” (with discussion), Journal of the Royal Statistical Society, Ser. B, 42. 1-25.
    • (1980) Journal of the Royal Statistical Society , vol.42 , pp. 1-25
    • Bates, D.M.1    Watts, D.G.2
  • 10
    • 0000480450 scopus 로고
    • Parameter Transformations for Improved Approximate Confidence Regions in Nonlinear Least Squares
    • Bates, D. M., and Watts, D. G. (1981), “Parameter Transformations for Improved Approximate Confidence Regions in Nonlinear Least Squares,” The Annals of Statistics, 9, 1152-1167.
    • (1981) The Annals of Statistics , vol.9 , pp. 1152-1167
    • Bates, D.M.1    Watts, D.G.2
  • 11
    • 0002115313 scopus 로고
    • Confidence Regions in Non-linear Estimation
    • Ser. B
    • Beale, E. M. L. (1960), “Confidence Regions in Non-linear Estimation,” Journal of the Royal Statistical Society, Ser. B, 22, 41-88.
    • (1960) Journal of the Royal Statistical Society , vol.22 , pp. 41-88
    • Beale, E.1
  • 12
    • 0021444509 scopus 로고
    • Treatment Allocation for Nonlinear Models in Clinical Trials: The Logistic Model
    • Begg, C. B., and Kalish, L. A. (1984). “Treatment Allocation for Nonlinear Models in Clinical Trials: The Logistic Model,” Biometrics, 40, 409-420.
    • (1984) Biometrics , vol.40 , pp. 409-420
    • Begg, C.B.1    Kalish, L.A.2
  • 13
    • 0000534976 scopus 로고
    • Estimation of Copolymer Reactivity Ratios: An Example of Nonlinear Estimation
    • Part A
    • Behnken, D. W. (1964), “Estimation of Copolymer Reactivity Ratios: An Example of Nonlinear Estimation," Journal of Polymer Science, Part A, 2, 645-688.
    • (1964) Journal of Polymer Science , vol.2 , pp. 645-688
    • Behnken, D.W.1
  • 14
    • 0009301052 scopus 로고
    • Bayesian Estimation and Design of Experiments for Growth Rates When Sampling From the Poisson Distribution
    • Behnken, D. W., and Watts, D. G. (1972), “Bayesian Estimation and Design of Experiments for Growth Rates When Sampling From the Poisson Distribution," Biometrics, 28, 999-1009.
    • (1972) Biometrics , vol.28 , pp. 999-1009
    • Behnken, D.W.1    Watts, D.G.2
  • 15
    • 0022758683 scopus 로고
    • Generalized Simulated Annealing for Function Optimization
    • Bohachevsky, I. O., Johnson, M. E., and Stein, M. L. (1986), “Generalized Simulated Annealing for Function Optimization," Technometrics, 28, 209-217.
    • (1986) Technometrics , vol.28 , pp. 209-217
    • Bohachevsky, I.O.1    Johnson, M.E.2    Stein, M.L.3
  • 16
    • 0011302720 scopus 로고
    • The Experimental Study of Physical Mechanisms
    • Box, G. E. P., and Hunter, W. G. (1965a), “The Experimental Study of Physical Mechanisms," Technometrics, 7, 23-42.
    • (1965) Technometrics , vol.7 , pp. 23-42
    • Box, G.1    Hunter, W.G.2
  • 18
    • 0002419565 scopus 로고
    • Design of Experiments in Nonlinear Situations
    • Box, G. E. P., and Lucas, H. L. (1959), “Design of Experiments in Nonlinear Situations," Biometrika, 49, 77-90.
    • (1959) Biometrika , vol.49 , pp. 77-90
    • Box, G.1    Lucas, H.L.2
  • 19
    • 0007167647 scopus 로고
    • The Occurrence of Replications in Optimal Designs of Experiments to Estimate Parameters in Non-linear Models
    • Ser. B
    • Box, M. J. (1968), “The Occurrence of Replications in Optimal Designs of Experiments to Estimate Parameters in Non-linear Models,” Journal of the Royal Statistical Society, Ser. B, 30, 290-320.
    • (1968) Journal of the Royal Statistical Society , vol.30 , pp. 290-320
    • Box, M.J.1
  • 20
    • 0022711332 scopus 로고
    • Design Considerations for Calibration
    • Buonaccorsi, J. P. (1986), “Design Considerations for Calibration," Technometrics, 28, 149-155.
    • (1986) Technometrics , vol.28 , pp. 149-155
    • Buonaccorsi, J.P.1
  • 21
    • 38249042610 scopus 로고
    • Optimal Design for Ratios of Linear Combinations in the General Linear Model
    • Buonaccorsi, J. P., and Iver, H. K. (1986), “Optimal Design for Ratios of Linear Combinations in the General Linear Model,” Journal of Statistical Planning and Inference, 13, 345-356.
    • (1986) Journal of Statistical Planning and Inference , vol.13 , pp. 345-356
    • Buonaccorsi, J.P.1    Iver, H.K.2
  • 23
    • 84952601583 scopus 로고
    • Optimal Bayesian Design Applied to Logistic Regression Experiments
    • unpublished manuscript submitted to
    • Chaloner, K., and Larntz, K. (1986), “Optimal Bayesian Design Applied to Logistic Regression Experiments," unpublished manuscript submitted to Journal of Statistical Planning and Inference.
    • (1986) Journal of Statistical Planning and Inference
    • Chaloner, K.1    Larntz, K.2
  • 24
    • 0001653224 scopus 로고
    • Locally Optimal Designs for Estimating Parameters
    • Chernoff, H. (1953), “Locally Optimal Designs for Estimating Parameters." Annals of Mathematical Statistics, 30, 586-602.
    • (1953) Annals of Mathematical Statistics , vol.30 , pp. 586-602
    • Chernoff, H.1
  • 25
    • 0346119197 scopus 로고
    • Approaches in Sequential Design of Experiments
    • J. N. Srivastava, New York: North-Holland
    • Chernoff, H. (1975), “Approaches in Sequential Design of Experiments,” in A Survey of Statistical Design and Linear Models, ed. J. N. Srivastava, New York: North-Holland, pp. 67-90.
    • (1975) A Survey of Statistical Design and Linear Models , pp. 67-90
    • Chernoff, H.1
  • 27
    • 0001664475 scopus 로고
    • Estimating Michaelis-Menten Parameters: Bias, Variance and Experimental Design
    • Currie, D. J. (1982), “Estimating Michaelis-Menten Parameters: Bias, Variance and Experimental Design," Biometrics, 38, 907-919.
    • (1982) Biometrics , vol.38 , pp. 907-919
    • Currie, D.J.1
  • 28
    • 0008590031 scopus 로고
    • Comparison of Sequential Bioassays in Small Samples
    • Ser. B
    • Davis, M. (1971), “Comparison of Sequential Bioassays in Small Samples," Journal of the Royal Statistical Society, Ser. B, 33, 78-87.
    • (1971) Journal of the Royal Statistical Society , vol.33 , pp. 78-87
    • Davis, M.1
  • 30
    • 0000104841 scopus 로고
    • Design of Experiments for Parameter Estimation in Multiresponse Situations
    • Draper, N. R., and Hunter, W. G. (1966), “Design of Experiments for Parameter Estimation in Multiresponse Situations,” Biometrika, 53, 525-533.
    • (1966) Biometrika , vol.53 , pp. 525-533
    • Draper, N.R.1    Hunter, W.G.2
  • 31
    • 0014094525 scopus 로고
    • “The Use of Prior Distributions in the Design of Experiments for Parameter Estimation in Nonlinear Situations
    • Draper, N. R., and Hunter, W. G. (1967a), “The Use of Prior Distributions in the Design of Experiments for Parameter Estimation in Nonlinear Situations,” Biometrika, 54, 147-153.
    • (1967) Biometrika , vol.54 , pp. 147-153
    • Draper, N.R.1    Hunter, W.G.2
  • 32
    • 0014186512 scopus 로고
    • The Use of Prior Distributions in the Design of Experiments for Parameter Estimation in Nonlinear Situations: Multi-response Case
    • Draper, N. R., and Hunter, W. G. (1967b), “The Use of Prior Distributions in the Design of Experiments for Parameter Estimation in Nonlinear Situations: Multi-response Case,” Biometrika, 54, 662-665.
    • (1967) Biometrika , vol.54 , pp. 662-665
    • Draper, N.R.1    Hunter, W.G.2
  • 37
    • 0000034278 scopus 로고
    • A Sequentially Constructed Design for Estimating a Nonlinear Parametric Function
    • Ford, I., and Silvey, S. D. (1980), "A Sequentially Constructed Design for Estimating a Nonlinear Parametric Function," Biometrika, 67, 381-388.
    • (1980) Biometrika , vol.67 , pp. 381-388
    • Ford, I.1    Silvey, S.D.2
  • 38
    • 32044452528 scopus 로고
    • Inference and Sequential Design
    • Ford, I., Titterington, D. M., and Wu, C. F. J. (1985). "Inference and Sequential Design,” Biometrika, 72, 545-551.
    • (1985) Biometrika , vol.72 , pp. 545-551
    • Ford, I.1    Titterington, D.M.2    Wu, C.3
  • 41
    • 0011376426 scopus 로고
    • Confidence Regions for Parameter Subsets in Nonlinear Regression
    • Hamilton, D. C. (1986), “Confidence Regions for Parameter Subsets in Nonlinear Regression,” Biometrika, 73, 57-64.
    • (1986) Biometrika , vol.73 , pp. 57-64
    • Hamilton, D.C.1
  • 42
    • 0022112252 scopus 로고
    • A Quadratic Design Criterion for Precise Estimation in Nonlinear Regression Models
    • Hamilton, D. C., and Watts, D. G. (1985), "A Quadratic Design Criterion for Precise Estimation in Nonlinear Regression Models,” Technometrics, 27, 241-250.
    • (1985) Technometrics , vol.27 , pp. 241-250
    • Hamilton, D.C.1    Watts, D.G.2
  • 43
    • 0001284405 scopus 로고
    • Accounting for Intrinsic Nonlinearity in Nonlinear Regression Parameter Inference Regions
    • Hamilton, D. C., W'atts, D. G., and Bates, D. M. (1982), "Accounting for Intrinsic Nonlinearity in Nonlinear Regression Parameter Inference Regions," The Annals of Statistics, 10, 386-393.
    • (1982) The Annals of Statistics , vol.10 , pp. 386-393
    • Hamilton, D.C.1    W'atts, D.G.2    Bates, D.M.3
  • 44
    • 49849120965 scopus 로고
    • Estimation of Monolayer Capacity for BET Equation
    • Henson, T. L., and Hunter, W. G. (1969), "Estimation of Monolayer Capacity for BET Equation," Journal of Catalysis, 11. 197-200.
    • (1969) Journal of Catalysis , vol.11 , pp. 197-200
    • Henson, T.L.1    Hunter, W.G.2
  • 45
    • 0000799495 scopus 로고
    • D-Optimal Designs for Partially Nonlinear Regression Models
    • Hill, P. D. H. (1980), "D-Optimal Designs for Partially Nonlinear Regression Models," Technomeirics. 22, 275-276.
    • (1980) Technomeirics , vol.22 , pp. 275-276
    • Hill, P.1
  • 46
    • 0016094158 scopus 로고
    • Design of Experiments for Subsets of Parameters
    • Hill, W. J., and Hunter, W. G. (1974), "Design of Experiments for Subsets of Parameters,” Technomeirics, 16, 425-434.
    • (1974) Technomeirics , vol.16 , pp. 425-434
    • Hill, W.J.1    Hunter, W.G.2
  • 47
    • 0001147975 scopus 로고
    • A Joint Design Criterion for the Dual Problem of Model Discrimination and Parameter Estimation
    • Hill, W. J., Hunter, W. G., and Wichern, D. W. (1968), "A Joint Design Criterion for the Dual Problem of Model Discrimination and Parameter Estimation.” Technometrics, 10, 145-160.
    • (1968) Technometrics , vol.10 , pp. 145-160
    • Hill, W.J.1    Hunter, W.G.2    Wichern, D.W.3
  • 48
    • 0016785061 scopus 로고
    • On Sequential and Nonsequential D-Optimal Experiment Design
    • Hohmann, G., and Jung, W. (1975), "On Sequential and Nonsequential D-Optimal Experiment Design," Biomeirische Zeitshrift, 17, 329-336.
    • (1975) Biomeirische Zeitshrift , vol.17 , pp. 329-336
    • Hohmann, G.1    Jung, W.2
  • 49
    • 0014467354 scopus 로고
    • Designing Experiments for Precise Estimation of All or Some of the Constants in a Mechanistic Model
    • Hunter, W. G., Hill, W. J., and Henson, T. L. (1969), "Designing Experiments for Precise Estimation of All or Some of the Constants in a Mechanistic Model,” Canadian Journal of Chemical Engineering, 47, 76-80.
    • (1969) Canadian Journal of Chemical Engineering , vol.47 , pp. 76-80
    • Hunter, W.G.1    Hill, W.J.2    Henson, T.L.3
  • 50
    • 0000091003 scopus 로고
    • Asymptotic Properties of Non linear Least-Squares Estimators
    • Jennrich, R. J. (1969), "Asymptotic Properties of Non linear Least-Squares Estimators,” Annals of Mathematical Statistics. 40. 633-643.
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 633-643
    • Jennrich, R.J.1
  • 51
    • 0019716881 scopus 로고
    • Bayesian Approach to the Analysis of Nonlinear Models: Implementation and Evaluation
    • Katz, D., Azen, S. P., and Schumitzky, A. (1981), "Bayesian Approach to the Analysis of Nonlinear Models: Implementation and Evaluation,” Biometrics, 37, 137-142.
    • (1981) Biometrics , vol.37 , pp. 137-142
    • Katz, D.1    Azen, S.P.2    Schumitzky, A.3
  • 52
    • 84949158211 scopus 로고
    • unpublished Ph.D. thesis, University of Edinburgh, Dept, of Statistics
    • Kershaw, C. D. (1983), "Sequential Estimation for Binary Response,” unpublished Ph.D. thesis, University of Edinburgh, Dept, of Statistics.
    • (1983) Sequential Estimation for Binary Response
    • Kershaw, C.D.1
  • 53
    • 0016541895 scopus 로고
    • Design of Experiments for the Identification of Linear Dynamic Systems
    • Keviczky, L. (1975), "Design of Experiments for the Identification of Linear Dynamic Systems,” Technomeirics, 17, 303-308.
    • (1975) Technomeirics , vol.17 , pp. 303-308
    • Keviczky, L.1
  • 54
    • 0021376007 scopus 로고
    • A Note on D-Optimal Designs for Partially Nonlinear Regression Models
    • Khuri, A. I. (1984), “A Note on D-Optimal Designs for Partially Nonlinear Regression Models,” Technomeirics, 26, 59-61.
    • (1984) Technometrics , vol.26 , pp. 59-61
    • Khuri, A.I.1
  • 55
    • 0040427427 scopus 로고
    • unpublished Ph.D. thesis, University of Glasgow, Dept, of Statistics
    • Kitsos, C. P. (1986), "Design and Inference for Nonlinear Problems,” unpublished Ph.D. thesis, University of Glasgow, Dept, of Statistics.
    • (1986) Design and Inference for Nonlinear Problems
    • Kitsos, C.P.1
  • 56
    • 0000258837 scopus 로고
    • Least Squares Estimates in Stochastic Regression Models With Applications to identification and Control of Dynamic Systems
    • Lai, T. L., and Wei, C. Z. (1982), "Least Squares Estimates in Stochastic Regression Models With Applications to identification and Control of Dynamic Systems,” The Annals of Statistics, 10, 154-166.
    • (1982) The Annals of Statistics , vol.10 , pp. 154-166
    • Lai, T.L.1    Wei, C.Z.2
  • 57
  • 58
    • 0009438061 scopus 로고
    • Experimental Design for Sensitivity Testing: The Weibull Model
    • Maxim, L. D., Hendrickson, A. D., and Cullen, D. E. (1977). "Experimental Design for Sensitivity Testing: The Weibull Model,” Technometrics, 19, 405-412.
    • (1977) Technometrics , vol.19 , pp. 405-412
    • Maxim, L.D.1    Hendrickson, A.D.2    Cullen, D.E.3
  • 59
    • 84919116579 scopus 로고
    • Discussion of "Randomized Allocation of Treatments in Sequential Experiments
    • by J. A. Bather, Ser. B
    • McCullagh, P. (1981), Discussion of "Randomized Allocation of Treatments in Sequential Experiments," by J. A. Bather, Journal of the Royal Statistical Society, Ser. B, 43. 286-287.
    • (1981) Journal of the Royal Statistical Society , vol.43 , pp. 286-287
    • McCullagh, P.1
  • 61
    • 84948879744 scopus 로고
    • “Variations of the Robbins-Monro Procedure for Estimating
    • McLeish, D. (1978), “Variations of the Robbins-Monro Procedure for Estimating ED(p) in the Logit Model," Journal of Statistical Computation and Simulation, 8, 13-24.
    • (1978) Journal of Statistical Computation and Simulation , vol.8 , pp. 13-24
    • McLeish, D.1
  • 62
    • 0009198934 scopus 로고
    • The Estimation of Extreme Quantiles in Logistic Bioassay
    • McLeish, D., and Tosh, D. (1983), "The Estimation of Extreme Quantiles in Logistic Bioassay,” Biometrika, 70, 625-632.
    • (1983) Biometrika , vol.70 , pp. 625-632
    • McLeish, D.1    Tosh, D.2
  • 63
    • 0021427118 scopus 로고
    • A Comparison of Accelerated Life Test Plans for Weibull and Lognormal Distributions and Type I Censoring
    • Meeker, W. Q. (1984), “A Comparison of Accelerated Life Test Plans for Weibull and Lognormal Distributions and Type I Censoring," Technomeirics, 26, 157-171.
    • (1984) Technomeirics , vol.26 , pp. 157-171
    • Meeker, W.Q.1
  • 64
    • 0000077174 scopus 로고
    • Asymptotically Optimum Over-Stress Tests to Estimate the Survival Probability at a Condition With a Low Expected Failure Probability
    • Meeker, W. Q., and Hahn, G. J. (1977), “Asymptotically Optimum Over-Stress Tests to Estimate the Survival Probability at a Condition With a Low Expected Failure Probability," Technometrics, 19, 381-399.
    • (1977) Technometrics , vol.19 , pp. 381-399
    • Meeker, W.Q.1    Hahn, G.J.2
  • 65
    • 0018005522 scopus 로고
    • A Comparison of Accelerated Test Plans to Estimate the Survival Probability at a Design Stress
    • Meeker, W. Q., and Hahn, G. J. (1978), “A Comparison of Accelerated Test Plans to Estimate the Survival Probability at a Design Stress," Technometrics, 20, 245-247.
    • (1978) Technometrics , vol.20 , pp. 245-247
    • Meeker, W.Q.1    Hahn, G.J.2
  • 67
    • 84952601585 scopus 로고
    • unpublished paper presented at the 143rd annual meeting of the American Statistical Association, Toronto
    • Nelson, W. (1983), “Monte Carlo Evaluation of Accelerated Life Test Plans," unpublished paper presented at the 143rd annual meeting of the American Statistical Association, Toronto.
    • (1983) Monte Carlo Evaluation of Accelerated Life Test Plans
    • Nelson, W.1
  • 68
    • 0016919169 scopus 로고
    • Theory of Optimum Censored Accelerated Life Tests for Normal and Lognormal Life Distributions
    • Nelson, W., and Kielpinski, T. J. (1976), “Theory of Optimum Censored Accelerated Life Tests for Normal and Lognormal Life Distributions," Technometrics, 18, 105-114.
    • (1976) Technometrics , vol.18 , pp. 105-114
    • Nelson, W.1    Kielpinski, T.J.2
  • 69
    • 34548216752 scopus 로고
    • Optimal Experimental Design in Econometrics, the Time Series Problem
    • Papakyriazis, P. A. (1978), “Optimal Experimental Design in Econometrics, the Time Series Problem," Journal of Econometrics, 7, 351-372.
    • (1978) Journal of Econometrics , vol.7 , pp. 351-372
    • Papakyriazis, P.A.1
  • 70
    • 84910721698 scopus 로고
    • On Formulas for the Distribution of Nonlinear L.S. Estimates
    • Pazmán, A. (1987). “On Formulas for the Distribution of Nonlinear L.S. Estimates," Statistics, 18, 3-15.
    • (1987) Statistics , vol.18 , pp. 3-15
    • Pazmán, A.1
  • 72
    • 0042559651 scopus 로고
    • Accounting for Heteroscedasticity in Experiment Design
    • Pritchard, D. J., and Bacon, D. W. (1977), “Accounting for Heteroscedasticity in Experiment Design," Technometrics, 19,109-115.
    • (1977) Technometrics , vol.19 , pp. 109-115
    • Pritchard, D.J.1    Bacon, D.W.2
  • 73
    • 0001717417 scopus 로고
    • Further Consideration of Heteroscedasticity in Fitting Kinetic Models
    • Pritchard, D. J., Downie, J., and Bacon, D. W. (1977), “Further Consideration of Heteroscedasticity in Fitting Kinetic Models," Technometrics, 19, 227-236.
    • (1977) Technometrics , vol.19 , pp. 227-236
    • Pritchard, D.J.1    Downie, J.2    Bacon, D.W.3
  • 74
    • 0016474029 scopus 로고
    • D-Optimality for Regression Designs: A Review
    • St. John, R. C., and Draper, N. R. (1975), “D-Optimality for Regression Designs: A Review,” Technomeirics, 17, 15-23.
    • (1975) Technomeirics , vol.17 , pp. 15-23
    • John, S.T.R.C.1    Draper, N.R.2
  • 75
    • 1542410306 scopus 로고
    • Repeated-MLE Procedures for Stochastic Approximation in Ouantal Response Problems
    • J. van Ryzin, Hayward, CA: Institute of Mathematical Statistics
    • Sellke, T. (1986), “Repeated-MLE Procedures for Stochastic Approximation in Ouantal Response Problems,” in Adaptive Statistical Procedures and Related t'opics, ed. J. van Ryzin, Hayward, CA: Institute of Mathematical Statistics, pp. 283-297.
    • (1986) Adaptive Statistical Procedures and Related T'opics , pp. 283-297
    • Sellke, T.1
  • 77
    • 0021428040 scopus 로고
    • Experimental Design: Review and Comment
    • Steinberg, D. M., and Hunter, W. G. (1984), “'Experimental Design: Review and Comment,” Technometrics, 25, 71-97.
    • (1984) Technometrics , vol.25 , pp. 71-97
    • Steinberg, D.M.1    Hunter, W.G.2
  • 78
    • 46549101752 scopus 로고
    • Exploratory Studies in Nonsequential Non-local Non-linear Design
    • Stone, M., and Morris, J. A. (1985), “Exploratory Studies in Nonsequential Non-local Non-linear Design,” Journal of Statistical Planning and Inference, 12, 1-9.
    • (1985) Journal of Statistical Planning and Inference , vol.12 , pp. 1-9
    • Stone, M.1    Morris, J.A.2
  • 79
    • 0019049698 scopus 로고
    • Aspects of Optimal Design in Dynamic Systems
    • Titterington, D. M. (1980), “Aspects of Optimal Design in Dynamic Systems," Technometrics, 22, 287-299.
    • (1980) Technometrics , vol.22 , pp. 287-299
    • Titterington, D.M.1
  • 80
    • 0002871130 scopus 로고
    • Design of Dose Levels for Estimating a Percentage Point of a Logistic Quantal Response Curve
    • Tsutakawa, R. K. (1980), “Design of Dose Levels for Estimating a Percentage Point of a Logistic Quantal Response Curve,” Applied Statistics, 29, 25-33.
    • (1980) Applied Statistics , vol.29 , pp. 25-33
    • Tsutakawa, R.K.1
  • 81
    • 85041933023 scopus 로고
    • An Extension to the General Equivalence Theorem for Nonlinear Models
    • White, L. V. (1973), “An Extension to the General Equivalence Theorem for Nonlinear Models,” Biometrika, 60, 345-348.
    • (1973) Biometrika , vol.60 , pp. 345-348
    • White, L.V.1
  • 83
    • 0000529562 scopus 로고
    • Some General Points in the Theory of Optimal Experiment Design
    • Ser. B
    • Whittle, P. (1973), “Some General Points in the Theory of Optimal Experiment Design,” Journal of the Royal Statistical Society, Ser. B., 35, 123-130.
    • (1973) Journal of the Royal Statistical Society , vol.35 , pp. 123-130
    • Whittle, P.1
  • 84
    • 0001396096 scopus 로고
    • Asymptotic Inference From Sequential Design in a Nonlinear Situation
    • Wu, C. F. J. (1985a), “Asymptotic Inference From Sequential Design in a Nonlinear Situation,” Biometrika, 72. 553-558.
    • (1985) Biometrika , vol.72 , pp. 553-558
    • Wu, C.1
  • 85
    • 84950861150 scopus 로고
    • Efficient Sequential Designs With Binary Data
    • Wu, C. F. J. (1985b), “Efficient Sequential Designs With Binary Data,” Journal of the American Statistical Association, 80, 974-984.
    • (1985) Journal of the American Statistical Association , vol.80 , pp. 974-984
    • Wu, C.1
  • 86
    • 0000144634 scopus 로고
    • Maximum Likelihood Recursion and Stochastic Approximation in Sequential Designs
    • J. van Ryzin, Hayward, CA: Institute of Mathematical Statistics
    • Wu, C. F. J. (1986), “Maximum Likelihood Recursion and Stochastic Approximation in Sequential Designs,” in Adaptive Statistical Procedures and Related Topics, ed. J. van Ryzin, Hayward, CA: Institute of Mathematical Statistics, pp. 298-313.
    • (1986) Adaptive Statistical Procedures and Related Topics , pp. 298-313
    • Wu, C.1
  • 87
    • 0002299528 scopus 로고
    • The Convergence of General Step-Length Algorithms for Regular Optimum Design Criteria
    • Wu, C. F. J., and Wynn, H. P. (1978), “The Convergence of General Step-Length Algorithms for Regular Optimum Design Criteria,” The Annals of Statistics, 6, 1273-1285.
    • (1978) The Annals of Statistics , vol.6 , pp. 1273-1285
    • Wu, C.1    Wynn, H.P.2
  • 88
    • 0000558035 scopus 로고
    • Theory and Construction of D-Optimum Experimental Designs
    • Ser. B
    • Wynn, H. P. (1972), “Theory and Construction of D-Optimum Experimental Designs,” Journal of the Royal Statistical Society, Ser. B, 34, 133-147.
    • (1972) Journal of the Royal Statistical Society , vol.34 , pp. 133-147
    • Wynn, H.P.1
  • 89
    • 0003809664 scopus 로고
    • (Lecture Notes in Control and Information Sciences), eds. A. V. Balakrishnan and M. Thoma, New York: Springer-Verlag
    • Zarrop, M. (1979), Optimal Experiment Design for Dynamic System Identification (Lecture Notes in Control and Information Sciences, Vol. 21), eds. A. V. Balakrishnan and M. Thoma, New York: Springer-Verlag.
    • (1979) Optimal Experiment Design for Dynamic System Identification , vol.21
    • Zarrop, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.