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Volumn 46, Issue 4, 2004, Pages 411-420

Data analytic tools for understanding random field regression models

Author keywords

Bayesian regression; Computer experiments; Gaussian covariance; Polynomial regression; Spline regression

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; COST EFFECTIVENESS; ESTIMATION; FUNCTIONS; POLYNOMIALS; RANDOM PROCESSES; REGRESSION ANALYSIS; REYNOLDS NUMBER; SIGNAL TO NOISE RATIO;

EID: 8344229955     PISSN: 00401706     EISSN: None     Source Type: Trade Journal    
DOI: 10.1198/004017004000000419     Document Type: Article
Times cited : (22)

References (36)
  • 3
    • 0040427790 scopus 로고    scopus 로고
    • Circuit optimization via sequential computer experiments: Design of an output buffer
    • Aslett, R., Buck, R. J., Duvall, S. G., Sacks, J., and Welch, W. J. (1998), "Circuit Optimization via Sequential Computer Experiments: Design of an Output Buffer," Applied Statistics, 47, 31-48.
    • (1998) Applied Statistics , vol.47 , pp. 31-48
    • Aslett, R.1    Buck, R.J.2    Duvall, S.G.3    Sacks, J.4    Welch, W.J.5
  • 4
    • 84950771789 scopus 로고
    • Estimating optimal transformations for multiple-regression and correlation
    • Breiman, L., and Friedman, J. H. (1985), "Estimating Optimal Transformations for Multiple-Regression and Correlation," Journal of the American Statistical Association, 80, 580-598.
    • (1985) Journal of the American Statistical Association , vol.80 , pp. 580-598
    • Breiman, L.1    Friedman, J.H.2
  • 6
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions
    • Craven, P., and Wahba, G. (1979), "Smoothing Noisy Data With Spline Functions," Numerische Mathematik, 31, 377-403.
    • (1979) Numerische Mathematik , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 9
    • 84950437532 scopus 로고
    • Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments
    • Currin, C., Mitchell, T. J., Morris, M., and Ylvisaker, D. (1991), "Bayesian Prediction of Deterministic Functions, With Applications to the Design and Analysis of Computer Experiments," Journal of the American Statistical Association, 86, 953-963.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 953-963
    • Currin, C.1    Mitchell, T.J.2    Morris, M.3    Ylvisaker, D.4
  • 10
    • 0003219936 scopus 로고
    • Experimental design by uniform distribution
    • Fang, K. T. (1980), "Experimental Design by Uniform Distribution," Acta Mathematice Applicatae Sinica, 3, 363-372.
    • (1980) Acta Mathematice Applicatae Sinica , vol.3 , pp. 363-372
    • Fang, K.T.1
  • 11
    • 0034248857 scopus 로고    scopus 로고
    • Uniform design: Theory and applications
    • Fang, K. T., Lin, D. K. J., Winker, P., and Zhang, Y. (2000), "Uniform Design: Theory and Applications," Technometrics, 42, 237-248.
    • (2000) Technometrics , vol.42 , pp. 237-248
    • Fang, K.T.1    Lin, D.K.J.2    Winker, P.3    Zhang, Y.4
  • 12
    • 4243687191 scopus 로고    scopus 로고
    • Design of spatial experiments: Model fitting and prediction
    • eds. S. Ghosh and C. R. Rao, Amsterdam: Elsevier
    • Federov, V. (1996), "Design of Spatial Experiments: Model Fitting and Prediction," in Handbook of Statistics, Vol. 13, eds. S. Ghosh and C. R. Rao, Amsterdam: Elsevier, pp. 515-553.
    • (1996) Handbook of Statistics , vol.13 , pp. 515-553
    • Federov, V.1
  • 13
    • 0002432565 scopus 로고
    • Multivariate adaptive regression splines
    • Friedman, J. H. (1991), "Multivariate Adaptive Regression Splines," The Annals of Statistics, 19, 1-67.
    • (1991) The Annals of Statistics , vol.19 , pp. 1-67
    • Friedman, J.H.1
  • 14
    • 84952117554 scopus 로고
    • A Bayesian analysis of kriging
    • Handcock, M., and Stein, M. (1993), "A Bayesian Analysis of Kriging," Technometrics, 35, 403-410.
    • (1993) Technometrics , vol.35 , pp. 403-410
    • Handcock, M.1    Stein, M.2
  • 17
    • 0018468345 scopus 로고
    • A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
    • McKay, M. D., Beckman, R. J., and Conover, W. J. (1979), "A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code," Technometrics, 21, 239-245.
    • (1979) Technometrics , vol.21 , pp. 239-245
    • McKay, M.D.1    Beckman, R.J.2    Conover, W.J.3
  • 18
    • 0000923281 scopus 로고
    • Bayesian design and analysis of computer experiments: Use of derivatives in surface prediction
    • Morris, M. D., Mitchell, T. J., and Ylvisaker, D. (1993), "Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction," Technometrics, 35, 243-255.
    • (1993) Technometrics , vol.35 , pp. 243-255
    • Morris, M.D.1    Mitchell, T.J.2    Ylvisaker, D.3
  • 21
    • 21844489855 scopus 로고
    • Controlling correlations in latin hypercube samples
    • Owen, A. B. (1994), "Controlling Correlations in Latin Hypercube Samples," Journal of the American Statistical Association, 89, 1517-1522.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 1517-1522
    • Owen, A.B.1
  • 22
    • 84972496336 scopus 로고
    • That BLUP is a good thing: The estimation of random effects
    • Robinson, G. K. (1991), "That BLUP Is a Good Thing: The Estimation of Random Effects," Statistical Science, 6, 15-51.
    • (1991) Statistical Science , vol.6 , pp. 15-51
    • Robinson, G.K.1
  • 23
  • 25
    • 0035659213 scopus 로고    scopus 로고
    • Kriging models for global approximation in simulation-based multidisciplinary design optimization
    • Simpson, T. W., and Mistree, F. (2001), "Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization," AIAA Journal, 39, 2233-2241.
    • (2001) AIAA Journal , vol.39 , pp. 2233-2241
    • Simpson, T.W.1    Mistree, F.2
  • 26
    • 84972499772 scopus 로고
    • Comment on "design and analysis of computer experiments,"
    • by Sacks et al.
    • Stein, M. L. (1989), Comment on "Design and Analysis of Computer Experiments," by Sacks et al., Statistical Science, 4, 432-433.
    • (1989) Statistical Science , vol.4 , pp. 432-433
    • Stein, M.L.1
  • 28
    • 0010591917 scopus 로고
    • Model robust response surface designs: Scaling two-level factorials
    • Steinberg, D. M. (1985), "Model Robust Response Surface Designs: Scaling Two-Level Factorials," Biometrika, 72, 513-526.
    • (1985) Biometrika , vol.72 , pp. 513-526
    • Steinberg, D.M.1
  • 29
    • 38249020861 scopus 로고
    • A Bayesian approach to flexible modeling of multivariable response functions
    • _ (1990), "A Bayesian Approach to Flexible Modeling of Multivariable Response Functions," Journal of Multivariate Analysis, 34, 157-172.
    • (1990) Journal of Multivariate Analysis , vol.34 , pp. 157-172
  • 30
    • 0012196984 scopus 로고    scopus 로고
    • Asymptotic spectral distribution of toeplitz-related matrices
    • eds. T. Kaliath and A. H. Sayed, Philadelphia: SIAM
    • Tilli, P. (1999), "Asymptotic Spectral Distribution of Toeplitz-Related Matrices," in Fast Reliable Algorithms for Matrices With Structure, eds. T. Kaliath and A. H. Sayed, Philadelphia: SIAM.
    • (1999) Fast Reliable Algorithms for Matrices with Structure
    • Tilli, P.1
  • 32
    • 0000450226 scopus 로고
    • Improper priors, spline smoothing and the problem of guarding against model errors in regression
    • Wahba, G. (1978), "Improper Priors, Spline Smoothing and the Problem of Guarding Against Model Errors in Regression," Journal of the Royal Statistical Society, Ser. B, 40, 364-372.
    • (1978) Journal of the Royal Statistical Society, Ser. B , vol.40 , pp. 364-372
    • Wahba, G.1
  • 34
    • 0346075172 scopus 로고
    • Notes on generating functions of polynomials: (2) hermite polynomials
    • Watson, G. N. (1933), "Notes on Generating Functions of Polynomials: (2) Hermite Polynomials," Journal of the London Mathematical Society, 8, 194-199.
    • (1933) Journal of the London Mathematical Society , vol.8 , pp. 194-199
    • Watson, G.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.