메뉴 건너뛰기




Volumn 51, Issue 8, 2007, Pages 3679-3688

An adjustment for edge effects using an augmented neighborhood model in the spatial auto-logistic model

Author keywords

Augmented neighborhood; Conditional auto regressive model; Maximum likelihood estimator; Maximum pseudo likelihood estimator

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; MAXIMUM LIKELIHOOD; REGRESSION ANALYSIS;

EID: 33947672923     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.12.005     Document Type: Article
Times cited : (5)

References (24)
  • 1
    • 84937383934 scopus 로고    scopus 로고
    • Spatial effects and ecological inference
    • Anselin L., and Cho W. Spatial effects and ecological inference. Political Anal. 10 (2002) 276-297
    • (2002) Political Anal. , vol.10 , pp. 276-297
    • Anselin, L.1    Cho, W.2
  • 2
    • 6944224314 scopus 로고    scopus 로고
    • A recursive algorithm for Markov random fields
    • Bartolucci F., and Besag J. A recursive algorithm for Markov random fields. Biometrika 89 (2002) 724-730
    • (2002) Biometrika , vol.89 , pp. 724-730
    • Bartolucci, F.1    Besag, J.2
  • 3
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of lattice systems
    • Besag J. Spatial interaction and the statistical analysis of lattice systems. J. Royal Statist. Soc. B 23 (1974) 192-236
    • (1974) J. Royal Statist. Soc. B , vol.23 , pp. 192-236
    • Besag, J.1
  • 4
    • 0000582521 scopus 로고
    • Statistical analysis of non-lattice data
    • Besag J. Statistical analysis of non-lattice data. The Statistician 24 (1975) 179-195
    • (1975) The Statistician , vol.24 , pp. 179-195
    • Besag, J.1
  • 5
    • 0000013152 scopus 로고
    • On the statistical analysis of dirty pictures
    • Besag J. On the statistical analysis of dirty pictures. J. Royal Statist. Soc. B 48 (1986) 259-302
    • (1986) J. Royal Statist. Soc. B , vol.48 , pp. 259-302
    • Besag, J.1
  • 6
    • 0043096621 scopus 로고    scopus 로고
    • Assessing convergence of Markov chain Monte Carlo algorithms
    • Brooks S.P., and Roberts G.O. Assessing convergence of Markov chain Monte Carlo algorithms. Statist. Comput. 8 (1998) 319-335
    • (1998) Statist. Comput. , vol.8 , pp. 319-335
    • Brooks, S.P.1    Roberts, G.O.2
  • 7
    • 0000695777 scopus 로고
    • On consistency of a class of estimators for exponential families of Markov random fields on the lattice
    • Comets F. On consistency of a class of estimators for exponential families of Markov random fields on the lattice. Ann. Statist. 20 (1992) 455-468
    • (1992) Ann. Statist. , vol.20 , pp. 455-468
    • Comets, F.1
  • 9
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • Dempster A., Laird N., and Rubin D. Maximum likelihood from incomplete data via the EM algorithm. J. Royal Statist. Soc. B 39 (1977) 1-38
    • (1977) J. Royal Statist. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.1    Laird, N.2    Rubin, D.3
  • 10
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images
    • Geman S., and Geman D. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Trans. Pattern Anal. Mach. Intell. 6 (1984) 721-741
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell. , vol.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 11
    • 33947700252 scopus 로고    scopus 로고
    • Geman, S., Graffigne, C., 1986. Markov random field image models and their applications to computer vision. Proceedings of the International Congress of Mathematicians, Berkeley, CA.
  • 12
    • 0000051109 scopus 로고
    • Constrained Monte Carlo maximum likelihood for dependent data
    • Geyer C.J., and Thompson E.A. Constrained Monte Carlo maximum likelihood for dependent data. J. Royal Statist. Soc. B 54 (1992) 657-699
    • (1992) J. Royal Statist. Soc. B , vol.54 , pp. 657-699
    • Geyer, C.J.1    Thompson, E.A.2
  • 13
    • 33947676726 scopus 로고    scopus 로고
    • Guyon, X., Künsch, H.R., 1992. Asymptotic comparison of estimators in the Ising model, stochastic models, statistical methods, and algorithms in image analysis, Lecture Notes in Statistics, vol. 74. Springer, Berlin, 1992, pp. 177-198.
  • 14
    • 0033245942 scopus 로고    scopus 로고
    • Improvements of the maximum pseudo-likelihood estimators in various spatial statistical models
    • Huang F., and Ogata Y. Improvements of the maximum pseudo-likelihood estimators in various spatial statistical models. J. Computat. Graphical Statist. 8 (1999) 510-530
    • (1999) J. Computat. Graphical Statist. , vol.8 , pp. 510-530
    • Huang, F.1    Ogata, Y.2
  • 15
    • 6444245814 scopus 로고    scopus 로고
    • Generalized pseudo-likelihood estimates for Markov random fields on lattice
    • Huang F., and Ogata Y. Generalized pseudo-likelihood estimates for Markov random fields on lattice. Ann. Inst. Statist. Math. 54 (2002) 1-18
    • (2002) Ann. Inst. Statist. Math. , vol.54 , pp. 1-18
    • Huang, F.1    Ogata, Y.2
  • 17
    • 0002755026 scopus 로고
    • Stochastic approximation of the MLE for a spatial point pattern
    • Moyeed R.A., and Baddeley A.J. Stochastic approximation of the MLE for a spatial point pattern. Scand. J. Statist. 18 (1991) 39-50
    • (1991) Scand. J. Statist. , vol.18 , pp. 39-50
    • Moyeed, R.A.1    Baddeley, A.J.2
  • 18
    • 33947674604 scopus 로고    scopus 로고
    • Pickard, D.K., 1982. Inference for general Ising models. Journal of Applied Probability 19A. Essays in Statistical Sciences: Papers in Honour of P.A.P. Moran, pp. 345-357. Asymptotic inference for an Ising lattice. J. Appl. Probab. 13, 486-497.
  • 19
    • 0002125121 scopus 로고
    • Inference for discrete Markov fields: the simplest nontrivial case
    • Pickard D.K. Inference for discrete Markov fields: the simplest nontrivial case. J. Amer. Statist. Assoc. 82 (1987) 90-96
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 90-96
    • Pickard, D.K.1
  • 20
    • 33947695562 scopus 로고    scopus 로고
    • Possolo, A., 1986. Estimation of binary Markov random fields. Technical Report no. 77, Department of Statistics, University of Washington.
  • 21
    • 24944590473 scopus 로고    scopus 로고
    • Efficient recursion for general factorisable models
    • Revees R., and Pettitt A.N. Efficient recursion for general factorisable models. Biometrika 91 (2004) 751-757
    • (2004) Biometrika , vol.91 , pp. 751-757
    • Revees, R.1    Pettitt, A.N.2
  • 23
    • 33947640937 scopus 로고    scopus 로고
    • Younes, L., 1991. Maximum likelihood estimation for Gibbs fields. In: Possolo, A. (Ed.), Spatial Statistics and Imaging. Lecture Notes, Monograph Series, vol. 20, Institute of Mathematical Statistics, Hayward, CA, 1991, pp. 403-426.
  • 24
    • 0031166023 scopus 로고    scopus 로고
    • Approximate maximum likelihood hyperparameter estimation for Gibbs priors
    • Zhou Z., Leahy R.M., and Qi J. Approximate maximum likelihood hyperparameter estimation for Gibbs priors. IEEE Trans. Image Process. 6 (1997) 844-861
    • (1997) IEEE Trans. Image Process. , vol.6 , pp. 844-861
    • Zhou, Z.1    Leahy, R.M.2    Qi, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.