메뉴 건너뛰기




Volumn 99, Issue 465, 2004, Pages 250-261

Inconsistent estimation and asymptotically equal interpolations in model-based geostatistics

Author keywords

Equivalent measures; Generalized linear mixed model; Kriging; Mat rn class; Minimum mean squared error; Model based geostatistics; Prediction

Indexed keywords


EID: 2142734871     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1198/016214504000000241     Document Type: Article
Times cited : (554)

References (33)
  • 2
    • 0029089463 scopus 로고
    • A Generalized Estimating Equations Approach for Spatially Correlated Data: Applications to the Analysis of Neuroimaging Data
    • Albert, P. S., and McShane, L. M. (1995), “A Generalized Estimating Equations Approach for Spatially Correlated Data: Applications to the Analysis of Neuroimaging Data,” Biometrics, 51, 627–638.
    • (1995) Biometrics , vol.51 , pp. 627-638
    • Albert, P.S.1    McShane, L.M.2
  • 5
    • 0035989805 scopus 로고    scopus 로고
    • Bayesian Prediction of Spatial Count Data Using Generalized Linear Mixed Models
    • Christensen, O. F., and Waagepetersen, R. P. (2002), “Bayesian Prediction of Spatial Count Data Using Generalized Linear Mixed Models,” Biometrics, 58, 280–286.
    • (2002) Biometrics , vol.58 , pp. 280-286
    • Christensen, O.F.1    Waagepetersen, R.P.2
  • 8
    • 0344167356 scopus 로고
    • Uses and Abuses of Cross-Validation in Geostatistics
    • Davis, B. (1987), “Uses and Abuses of Cross-Validation in Geostatistics,” Mathematical Geology, 19, 241–248.
    • (1987) Mathematical Geology , vol.19 , pp. 241-248
    • Davis, B.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
  • 15
    • 84950427374 scopus 로고
    • An Approach to Statistical Spatial-Temporal Modeling of Meteorological Fields (With discussion)
    • Handcock, M., and Wallis, J. R. (1994), “An Approach to Statistical Spatial-Temporal Modeling of Meteorological Fields” (with discussion), Journal of the American Statistical Association, 89, 368–390.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 368-390
    • Handcock, M.1    Wallis, J.R.2
  • 17
    • 85011218977 scopus 로고
    • Gaussian RandomProcesses, New York: Springer-Verlag
    • Ibragimov, I., and Rozanov, Y. (1978), Gaussian RandomProcesses, New York: Springer-Verlag.
    • (1978)
    • Ibragimov, I.1    Rozanov, Y.2
  • 19
    • 0001196683 scopus 로고
    • Maximum Likelihood Estimation of Models for Residual Covariance in Spatial Statistics
    • Mardia, K. V., and Marshall, R. J. (1984), “Maximum Likelihood Estimation of Models for Residual Covariance in Spatial Statistics,” Biometrika, 71, 135–146.
    • (1984) Biometrika , vol.71 , pp. 135-146
    • Mardia, K.V.1    Marshall, R.J.2
  • 20
    • 0001151136 scopus 로고
    • On Multimodality of the Likelihood in the Spatial Linear Model
    • Mardia, K. V., and Watkins, A. J. (1989), “On Multimodality of the Likelihood in the Spatial Linear Model,” Biometrika, 76, 289–295.
    • (1989) Biometrika , vol.76 , pp. 289-295
    • Mardia, K.V.1    Watkins, A.J.2
  • 21
    • 0030956486 scopus 로고    scopus 로고
    • A Latent Process Regression Model for Spatially Correlated Count Data
    • McShane, L. M., Albert, P. S., and Palmatier, M. A. (1997), “A Latent Process Regression Model for Spatially Correlated Count Data,” Biometrics, 53, 698–706.
    • (1997) Biometrics , vol.53 , pp. 698-706
    • McShane, L.M.1    Albert, P.S.2    Palmatier, M.A.3
  • 23
    • 0001761150 scopus 로고
    • Uniform Asymptotic Optimality of Linear Predictions of a Random Field Using an Incorrect Second-Order Structure
    • Stein, M. L. (1990), “Uniform Asymptotic Optimality of Linear Predictions of a Random Field Using an Incorrect Second-Order Structure,” The Annals of Statistics, 18, 850–872.
    • (1990) The Annals of Statistics , vol.18 , pp. 850-872
    • Stein, M.L.1
  • 25
    • 1642353032 scopus 로고    scopus 로고
    • Equivalence of Gaussian Measures for Some Nonstationary Random Fields
    • press
    • Stein, M. L. (2004), “Equivalence of Gaussian Measures for Some Nonstationary Random Fields,” Journal of Statistical Planning and Inference, in press.
    • (2004) Journal of Statistical Planning and Inference
    • Stein, M.L.1
  • 26
    • 0001664021 scopus 로고
    • Problems With Likelihood Estimation of Covariance Functions of Spatial Gaussian Processes
    • Warnes, J., and Ripley, B. D. (1987), “Problems With Likelihood Estimation of Covariance Functions of Spatial Gaussian Processes,” Biometrika, 74, 640–642.
    • (1987) Biometrika , vol.74 , pp. 640-642
    • Warnes, J.1    Ripley, B.D.2
  • 27
    • 0034550055 scopus 로고    scopus 로고
    • Sequential Design of Computer Experiments to Minimize Integrated Response Functions
    • Williams, B. J., Santner, T. J., and Notz, W. I. (2000), “Sequential Design of Computer Experiments to Minimize Integrated Response Functions,” Statistica Sinica, 10, 1133–1152.
    • (2000) Statistica Sinica , vol.10 , pp. 1133-1152
    • Williams, B.J.1    Santner, T.J.2    Notz, W.I.3
  • 29
    • 0004770346 scopus 로고
    • Asymptotic Properties of a Maximum Likelihood Estimator With Data From a Gaussian Process
    • Ying, Z. (1991), “Asymptotic Properties of a Maximum Likelihood Estimator With Data From a Gaussian Process,” Journal of Multivariate Analysis, 36, 280–296.
    • (1991) Journal of Multivariate Analysis , vol.36 , pp. 280-296
    • Ying, Z.1
  • 30
    • 0036188841 scopus 로고    scopus 로고
    • On Estimation and Prediction for Spatial Generalized Linear Mixed Models
    • Zhang, H. (2002), “On Estimation and Prediction for Spatial Generalized Linear Mixed Models,” Biometrics, 56, 129–136.
    • (2002) Biometrics , vol.56 , pp. 129-136
    • Zhang, H.1
  • 31
    • 0141907304 scopus 로고    scopus 로고
    • Optimal Interpolation and the Appropriateness of Cross-Validating Variogram in Spatial Generalized Linear Mixed Models
    • Zhang, H. (2003), “Optimal Interpolation and the Appropriateness of Cross-Validating Variogram in Spatial Generalized Linear Mixed Models,” Journal of Computational and Graphical Statistics, 12, 698–713.
    • (2003) Journal of Computational and Graphical Statistics , vol.12 , pp. 698-713
    • Zhang, H.1
  • 32
    • 0142126964 scopus 로고    scopus 로고
    • A Study on Prediction of Spatial Binomial Probabilities With an Application to Spatial Design
    • E. Wegman and A. Braverman, Fairfax Station, VA: Interface Foundation of North America, Inc
    • Zhang, H., andWang, H. H. (2002), “A Study on Prediction of Spatial Binomial Probabilities With an Application to Spatial Design,” in Computing Science and Statistics, 34, eds. E. Wegman and A. Braverman, Fairfax Station, VA: Interface Foundation of North America, Inc., pp. 263–276.
    • (2002) Computing Science and Statistics, 34 , pp. 263-276
    • Zhang, H.1    Wang, H.H.2
  • 33
    • 0026105175 scopus 로고
    • A Comparison of Spatial Semivariogram Estimators and Corresponding Ordinary Kriging Predictors
    • Zimmerman, D. L., and Zimmerman, M. B. (1991), “A Comparison of Spatial Semivariogram Estimators and Corresponding Ordinary Kriging Predictors,” Technometrics, 23, 77–91.
    • (1991) Technometrics , vol.23 , pp. 77-91
    • Zimmerman, D.L.1    Zimmerman, M.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.