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Volumn 105, Issue 491, 2010, Pages 1093-1103

A new approach to optimal design for linear models with correlated observations

Author keywords

Arcsine distribution; Bickel Herzberg approach; Logarithmic potentials; Positive definite functions; Singular kernel

Indexed keywords


EID: 78249285379     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2010.tm09467     Document Type: Article
Times cited : (23)

References (31)
  • 3
    • 23944476088 scopus 로고    scopus 로고
    • Burgers' turbulence problem with linear or quadratic external potential
    • 1099
    • Barndorff-Nielsen, O. E., and Leonenko, N. N. (2005), "Burgers' Turbulence Problem With Linear or Quadratic External Potential," Journal of Applied Probability, 42, 550-565. [1099]
    • (2005) Journal of Applied Probability , vol.42 , pp. 550-565
    • Barndorff-Nielsen, O.E.1    Leonenko, N.N.2
  • 4
    • 0003080844 scopus 로고
    • Robustness of design against autocorrelation in time. I. asymptotic theory,optimality for location and linear regression
    • 1093,1097-1100
    • Bickel, P. J., and Herzberg, A. M. (1979), "Robustness of Design Against Autocorrelation in Time. I. Asymptotic Theory, Optimality for Location and Linear Regression," The Annals of Statistics, 7, 77-95. [1093,1097-1100]
    • (1979) The Annals of Statistics , vol.7 , pp. 77-95
    • Bickel, P.J.1    Herzberg, A.M.2
  • 5
    • 0011410441 scopus 로고
    • Robustness of design against autocorrelation in time. II. optimality, theoretical and numerical results for the first-order autoregressive process
    • 1093
    • Bickel, P. J., Herzberg, A. M., and Schilling, M. F. (1981), "Robustness of Design Against Autocorrelation in Time. II. Optimality, Theoretical and Numerical Results for the First-Order Autoregressive Process," Journal of the American Statistical Association, 76, 870-877. [1093]
    • (1981) Journal of the American Statistical Association , vol.76 , pp. 870-877
    • Bickel, P.J.1    Herzberg, A.M.2    Schilling, M.F.3
  • 6
    • 78649401056 scopus 로고
    • On effective observation methods in regression models with correlated errors
    • 1093-1095
    • Boltze, L., and Náther, W. (1982), "On Effective Observation Methods in Regression Models With Correlated Errors," Mathematische Operationsforschung Statistik, Ser. Statistics, 13, 507-519. [1093-1095]
    • (1982) Mathematische Operationsforschung Statistik, Ser. Statistics , vol.13 , pp. 507-519
    • Boltze, L.1    Náther, W.2
  • 8
    • 77649220966 scopus 로고    scopus 로고
    • Asymptotic optimal designs under long-range dependence error structure
    • 1094,1098,1100
    • Dette, H., Leonenko, N. N., Pepelyshev, A., and Zhigljavsky, A. (2009), "Asymptotic Optimal Designs Under Long-Range Dependence Error Structure," Bernoulli, 15, 1036-1056. [1094,1098,1100]
    • (2009) Bernoulli , vol.15 , pp. 1036-1056
    • Dette, H.1    Leonenko, N.N.2    Pepelyshev, A.3    Zhigljavsky, A.4
  • 11
    • 0034336872 scopus 로고    scopus 로고
    • Power-law correlations, related models for long-range dependence and their simulation
    • 1098
    • Gneiting, T. (2000), "Power-Law Correlations, Related Models for Long-Range Dependence and Their Simulation," Journal of Applied Probability, 37, 1104-1109. [1098]
    • (2000) Journal of Applied Probability , vol.37 , pp. 1104-1109
    • Gneiting, T.1
  • 12
    • 0012995729 scopus 로고    scopus 로고
    • Optimal designs for nonlinear models with correlated errors
    • eds. N. Flournoy,W. F. Rosenberger, and W. K. Wong, Hayward, CA: Institute of Mathematical Statistics,1093
    • Hughes-Oliver, J. M. (1998), "Optimal Designs for Nonlinear Models With Correlated Errors," in New Developments and Applications in Experimental Designs. Lecture Notes Monograph Series, Vol. 34, eds. N. Flournoy,W. F. Rosenberger, and W. K. Wong, Hayward, CA: Institute of Mathematical Statistics, pp. 163-174. [1093]
    • (1998) New Developments and Applications in Experimental Designs,Lecture Notes Monograph Series , vol.34 , pp. 163-174
    • Hughes-Oliver, J.M.1
  • 13
    • 0000981128 scopus 로고
    • General equivalence theory for optimum designs (Approximate Theory)
    • 1094
    • Kiefer, J. (1974), "General Equivalence Theory for Optimum Designs (Approximate Theory)," The Annals of Statistics, 2, 849-879. [1094]
    • (1974) The Annals of Statistics , vol.2 , pp. 849-879
    • Kiefer, J.1
  • 15
    • 0000963178 scopus 로고    scopus 로고
    • Optimal design in random- Effect regression models
    • 1093
    • Mentre, F., Mallet, A., and Baccar, D. (1997), "Optimal Design in Random- Effect Regression Models," Biometrika, 84, 429-442. [1093]
    • (1997) Biometrika , vol.84 , pp. 429-442
    • Mentre, F.1    Mallet, A.2    Baccar, D.3
  • 16
    • 0015303276 scopus 로고
    • The analysis of a single sample of repeated measurements
    • 1093,1100
    • Morrison, D. F. (1972), "The Analysis of a Single Sample of Repeated Measurements," Biometrics, 28, 55-71. [1093,1100]
    • (1972) Biometrics , vol.28 , pp. 55-71
    • Morrison, D.F.1
  • 17
    • 3843055558 scopus 로고    scopus 로고
    • Measures for designs in experiments with correlated errors
    • 1093
    • Müller, W. G., and Pázman, A. (2003), "Measures for Designs in Experiments With Correlated Errors," Biometrika, 90, 423-434. [1093]
    • (2003) Biometrika , vol.90 , pp. 423-434
    • Müller, W.G.1    Pázman, A.2
  • 19
    • 0003489743 scopus 로고
    • Exact design for regression models with correlated errors
    • 1093,1094,1096
    • -, (1985b), "Exact Design for Regression Models With Correlated Errors," Statistics, 16, 479-484. [1093,1094,1096]
    • (1985) Statistics , vol.16 , pp. 479-484
  • 21
    • 3843118529 scopus 로고    scopus 로고
    • Optimal design of experiments subject to correlated errors
    • 1093
    • Pázman, A., and Müller, W. G. (2001), "Optimal Design of Experiments Subject to Correlated Errors," Statistics&Probability Letters, 52, 29-34. [1093]
    • (2001) Statistics & Probability Letters , vol.52 , pp. 29-34
    • Pázman, A.1    Müller, W.G.2
  • 23
    • 0002932504 scopus 로고
    • Designs for regression problems with correlated errors
    • 1093,1094,1098,1100
    • Sacks, J., and Ylvisaker, N. D. (1966), "Designs for Regression Problems With Correlated Errors," The Annals of Mathematical Statistics, 37, 66-89. [1093,1094,1098,1100]
    • (1966) The Annals of Mathematical Statistics , vol.37 , pp. 66-89
    • Sacks, J.1    Ylvisaker, N.D.2
  • 24
    • 0001880413 scopus 로고
    • Designs for regression problems with correlated errors; many parameters
    • 1093,1094,1098,1100
    • -, (1968), "Designs for Regression Problems With Correlated Errors; Many Parameters," The Annals of Mathematical Statistics, 39, 49-69. [1093,1094,1098,1100]
    • (1968) The Annals of Mathematical Statistics , vol.39 , pp. 49-69
  • 25
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments
    • with comments and a rejoinder by the authors,1100
    • Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P. (1989), "Design and Analysis of Computer Experiments" (with comments and a rejoinder by the authors), Statistical Science, 4, 409-435. [1100]
    • (1989) Statistical Science , vol.4 , pp. 409-435
    • Sacks, J.1    Welch, W.J.2    Mitchell, T.J.3    Wynn, H.P.4
  • 28
    • 0345725424 scopus 로고    scopus 로고
    • Completely monotone generalized mittag-leffler functions
    • 1099
    • Schneider, W. R. (1996), "Completely Monotone Generalized Mittag-Leffler Functions," Expositiones Mathematicae, 14, 3-16. [1099]
    • (1996) Expositiones Mathematicae , vol.14 , pp. 3-16
    • Schneider, W.R.1
  • 29
    • 0003357833 scopus 로고
    • Regularly varying functions
    • New York:Springer-Verlag, 1099
    • Seneta, E. (1976), Regularly Varying Functions. Lecture Notes in Mathematics, Vol. 508, New York: Springer-Verlag. [1099]
    • (1976) Lecture Notes in Mathematics , vol.508
    • Seneta, E.1
  • 30
    • 0004183064 scopus 로고
    • New York:Chapman&Hall,1093
    • Silvey, S. D. (1980), Optimal Design, New York: Chapman&Hall. [1093]
    • (1980) Optimal Design
    • Silvey, S.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.