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Volumn 140, Issue 11, 2010, Pages 3160-3179

Maximum likelihood estimation for directional conditionally autoregressive models

Author keywords

Anisotropy; Conditionally autoregressive models; Lattice data; Maximum likelihood estimation; Spatial analysis

Indexed keywords


EID: 77954032221     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2010.04.012     Document Type: Article
Times cited : (10)

References (43)
  • 1
    • 0016355478 scopus 로고
    • A new look at statistical model identification
    • Akaike H. A new look at statistical model identification. IEEE Transactions on Automatic Control 1974, 19:716-723.
    • (1974) IEEE Transactions on Automatic Control , vol.19 , pp. 716-723
    • Akaike, H.1
  • 3
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of lattice systems (with discussion)
    • Besag J. Spatial interaction and the statistical analysis of lattice systems (with discussion). Journal of the Royal Statistical Society, Series B 1974, 36:192-236.
    • (1974) Journal of the Royal Statistical Society, Series B , vol.36 , pp. 192-236
    • Besag, J.1
  • 4
    • 0000582521 scopus 로고
    • Spatial analysis of non-lattice data
    • Besag J. Spatial analysis of non-lattice data. The Statistician 1975, 24:179-195.
    • (1975) The Statistician , vol.24 , pp. 179-195
    • Besag, J.1
  • 5
    • 33845221523 scopus 로고
    • On conditional and intrinsic autoregression
    • Besag J., Kooperberg C. On conditional and intrinsic autoregression. Biometrika 1995, 82:733-746.
    • (1995) Biometrika , vol.82 , pp. 733-746
    • Besag, J.1    Kooperberg, C.2
  • 7
    • 0000402056 scopus 로고
    • On the distinction between the conditional probability and the joint probability approaches in the specification of nearest-neighbour systems
    • Brook D. On the distinction between the conditional probability and the joint probability approaches in the specification of nearest-neighbour systems. Biometrika 1964, 51:481-483.
    • (1964) Biometrika , vol.51 , pp. 481-483
    • Brook, D.1
  • 12
    • 0018115641 scopus 로고
    • Assessing the accuracy of the maximum likelihood estimator: observed versus expected fisher information
    • Efron B., Hinkley D.V. Assessing the accuracy of the maximum likelihood estimator: observed versus expected fisher information. Biometrika 1978, 65:457-482.
    • (1978) Biometrika , vol.65 , pp. 457-482
    • Efron, B.1    Hinkley, D.V.2
  • 13
    • 0000694159 scopus 로고
    • Transformations related to the angular and the square root
    • Freeman M.F., Tukey J.W. Transformations related to the angular and the square root. Annals of Mathematical Statistics 1950, 21:607-611.
    • (1950) Annals of Mathematical Statistics , vol.21 , pp. 607-611
    • Freeman, M.F.1    Tukey, J.W.2
  • 14
    • 0042401905 scopus 로고    scopus 로고
    • Spectral methods for nonstationary spatial processes
    • Fuentes M. Spectral methods for nonstationary spatial processes. Biometrika 2002, 89:197-210.
    • (2002) Biometrika , vol.89 , pp. 197-210
    • Fuentes, M.1
  • 15
    • 23844472403 scopus 로고    scopus 로고
    • A formal test for nonstationarity of spatial stochastic processes
    • Fuentes M. A formal test for nonstationarity of spatial stochastic processes. Journal of Multivariate Analysis 2005, 96:30-54.
    • (2005) Journal of Multivariate Analysis , vol.96 , pp. 30-54
    • Fuentes, M.1
  • 16
    • 77954030393 scopus 로고    scopus 로고
    • A new class of nonstationary spatial models. Technical Report, North Carolina State University, Department of Statistics.
    • Fuentes, M., Smith, R., 2001. A new class of nonstationary spatial models. Technical Report, North Carolina State University, Department of Statistics.
    • (2001)
    • Fuentes, M.1    Smith, R.2
  • 18
    • 0027751505 scopus 로고
    • Exploring relationships between semi-variogram and spatial autoregressive models
    • Griffith D.A., Csillag F. Exploring relationships between semi-variogram and spatial autoregressive models. Papers in Regional Science 1993, 72:283-295.
    • (1993) Papers in Regional Science , vol.72 , pp. 283-295
    • Griffith, D.A.1    Csillag, F.2
  • 19
    • 0032422974 scopus 로고    scopus 로고
    • A process-convolution approach to modelling temperatures in the North Atlantic Ocean
    • Higdon D. A process-convolution approach to modelling temperatures in the North Atlantic Ocean. Journal of Environmental and Ecological Statistics 1998, 5:173-190.
    • (1998) Journal of Environmental and Ecological Statistics , vol.5 , pp. 173-190
    • Higdon, D.1
  • 20
    • 0000439277 scopus 로고    scopus 로고
    • Non-stationary spatial modeling. In: Bernardo, J.M., Berger, J.O., Dawid, A.P., Smith, A.F.M. (Eds.), Bayesian Statistics 6, Oxford University Press, Oxford,
    • Higdon, D., Swall, J., Kern, J., 1999. Non-stationary spatial modeling. In: Bernardo, J.M., Berger, J.O., Dawid, A.P., Smith, A.F.M. (Eds.), Bayesian Statistics 6, Oxford University Press, Oxford, pp. 761-768.
    • (1999) , pp. 761-768
    • Higdon, D.1    Swall, J.2    Kern, J.3
  • 22
    • 68149096814 scopus 로고    scopus 로고
    • An autoregressive point source model for spatial processes. Environmetrics 20, 575-594.
    • Hughes-Oliver, J.M., Heo, T.Y., Ghosh, S.K., 2009. An autoregressive point source model for spatial processes. Environmetrics 20, 575-594.
    • (2009)
    • Hughes-Oliver, J.M.1    Heo, T.Y.2    Ghosh, S.K.3
  • 25
    • 77954034379 scopus 로고    scopus 로고
    • Generalized conditionally autoregressive models. Ph.D. Thesis, North Carolina State University, Department of Statistics.
    • Kyung, M., 2006. Generalized conditionally autoregressive models. Ph.D. Thesis, North Carolina State University, Department of Statistics.
    • (2006)
    • Kyung, M.1
  • 27
    • 0001196683 scopus 로고
    • Maximum likelihood estimation of models for residual covariance in spatial regression
    • Mardia K.V., Marshall R.J. Maximum likelihood estimation of models for residual covariance in spatial regression. Biometrika 1984, 71:135-146.
    • (1984) Biometrika , vol.71 , pp. 135-146
    • Mardia, K.V.1    Marshall, R.J.2
  • 30
    • 84950640386 scopus 로고
    • Estimation methods for models of spatial interaction
    • Ord K. Estimation methods for models of spatial interaction. Journal of the American Statistical Association 1975, 70:120-126.
    • (1975) Journal of the American Statistical Association , vol.70 , pp. 120-126
    • Ord, K.1
  • 32
    • 33745999511 scopus 로고    scopus 로고
    • Spatial modelling using a new class of nonstationary covariance functions
    • Paciorek C.J., Schervish M.J. Spatial modelling using a new class of nonstationary covariance functions. Environmetics 2006, 17:483-506.
    • (2006) Environmetics , vol.17 , pp. 483-506
    • Paciorek, C.J.1    Schervish, M.J.2
  • 33
    • 33947229538 scopus 로고    scopus 로고
    • Spatial analyses of periodontal data using conditionally autoregressive priors having two classes of neighbor relations
    • Reich B.J., Hodges J.S., Carlin B.P. Spatial analyses of periodontal data using conditionally autoregressive priors having two classes of neighbor relations. Journal of the American Statistical Association. 2007, 102:44-55.
    • (2007) Journal of the American Statistical Association. , vol.102 , pp. 44-55
    • Reich, B.J.1    Hodges, J.S.2    Carlin, B.P.3
  • 34
    • 0036522614 scopus 로고    scopus 로고
    • Fitting Gaussian Markov random fields to Gaussian fields
    • Rue H., Tjelmeland H. Fitting Gaussian Markov random fields to Gaussian fields. Scandinavian Journal of Statistics 2002, 29:31-49.
    • (2002) Scandinavian Journal of Statistics , vol.29 , pp. 31-49
    • Rue, H.1    Tjelmeland, H.2
  • 36
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwartz G. Estimating the dimension of a model. Annals of Statistics 1978, 6:461-464.
    • (1978) Annals of Statistics , vol.6 , pp. 461-464
    • Schwartz, G.1
  • 37
    • 48549087068 scopus 로고    scopus 로고
    • A comparative study of Gaussian geostatistical models and Gaussian Markov random field models
    • Song H.R., Fuentes M., Ghosh S. A comparative study of Gaussian geostatistical models and Gaussian Markov random field models. Journal of Multivariate Analysis 2008, 99:1681-1697.
    • (2008) Journal of Multivariate Analysis , vol.99 , pp. 1681-1697
    • Song, H.R.1    Fuentes, M.2    Ghosh, S.3
  • 38
    • 0000859675 scopus 로고
    • An asymptotic equivalence of choice of model by cross-validation and Akaike's criterion
    • Stone M. An asymptotic equivalence of choice of model by cross-validation and Akaike's criterion. Journal of the Royal Statistical Society, Series B 1977, 39:44-47.
    • (1977) Journal of the Royal Statistical Society, Series B , vol.39 , pp. 44-47
    • Stone, M.1
  • 39
    • 0000844245 scopus 로고
    • Uniform asymptotic normality of the maximum likelihood estimator
    • Sweeting T.J. Uniform asymptotic normality of the maximum likelihood estimator. Annals of Statistics 1980, 8:1375-1381.
    • (1980) Annals of Statistics , vol.8 , pp. 1375-1381
    • Sweeting, T.J.1
  • 40
    • 0029416181 scopus 로고
    • Spatio-temporal analysis of mortality using splines
    • van der Linde A., Witzko K.-H., Jockel K.-H. Spatio-temporal analysis of mortality using splines. Biometrics 1995, 4:1352-1360.
    • (1995) Biometrics , vol.4 , pp. 1352-1360
    • van der Linde, A.1    Witzko, K.-H.2    Jockel, K.-H.3
  • 41
    • 0000544453 scopus 로고
    • Practical approximate solutions to linear operator equations when the data are noisy
    • Wahba G. Practical approximate solutions to linear operator equations when the data are noisy. SIAM Journal on Numerical Analysis 1977, 14:651-667.
    • (1977) SIAM Journal on Numerical Analysis , vol.14 , pp. 651-667
    • Wahba, G.1
  • 42
    • 62849092527 scopus 로고    scopus 로고
    • A stochastic neighborhood conditional auto-regressive model for spatial data
    • White G., Ghosh S.K. A stochastic neighborhood conditional auto-regressive model for spatial data. Computational Statistics and Data Analysis 2008, 53:3033-3046.
    • (2008) Computational Statistics and Data Analysis , vol.53 , pp. 3033-3046
    • White, G.1    Ghosh, S.K.2
  • 43
    • 27944460480 scopus 로고    scopus 로고
    • Can the strengths of AIC and BIC be shared? A conflict between model identification and regression estimation
    • Yang Y. Can the strengths of AIC and BIC be shared? A conflict between model identification and regression estimation. Biometrika 2005, 92:937-950.
    • (2005) Biometrika , vol.92 , pp. 937-950
    • Yang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.