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Volumn 57, Issue 2, 2003, Pages 177-206

The Candy model: Properties and inference

Author keywords

Candy model; Markov chain Monte Carlo simulation; Markov marked point process; Maximum likelihood estimation; Stability

Indexed keywords


EID: 0038578147     PISSN: 00390402     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9574.00227     Document Type: Article
Times cited : (13)

References (39)
  • 1
    • 0002826444 scopus 로고
    • Nearest-neighbour Markov point processes and random sets
    • BADDELEY, A. J. and J. MØLLER (1989), Nearest-neighbour Markov point processes and random sets, International Statistical Review 57, 89-121.
    • (1989) International Statistical Review , vol.57 , pp. 89-121
    • Baddeley, A.J.1    Møller, J.2
  • 2
    • 0010658462 scopus 로고
    • Monte Carlo calculation of the radial distribution functions for a proton-electron plasma
    • BARKER, A. A. (1965), Monte Carlo calculation of the radial distribution functions for a proton-electron plasma, Australian Journal of Physics 18, 119-133.
    • (1965) Australian Journal of Physics , vol.18 , pp. 119-133
    • Barker, A.A.1
  • 5
    • 0033243858 scopus 로고    scopus 로고
    • Convergence of a stochastic approximation version of the EM algorithm
    • DELYON, B., M. LAVIELLE and E. MOULINES (1999), Convergence of a stochastic approximation version of the EM algorithm, The Annals of Statistics 27, 94-128.
    • (1999) The Annals of Statistics , vol.27 , pp. 94-128
    • Delyon, B.1    Lavielle, M.2    Moulines, E.3
  • 6
    • 0032687294 scopus 로고    scopus 로고
    • Estimation of Markov random field prior parameters using Markov chain Monte Carlo maximum likelihood
    • DESCOMBES, X., R. D. MORRIS, J. ZERUBIA and M. BERTHOD (1999), Estimation of Markov random field prior parameters using Markov chain Monte Carlo maximum likelihood, IEEE Transactions on Image Processing 8, 954-963.
    • (1999) IEEE Transactions on Image Processing , vol.8 , pp. 954-963
    • Descombes, X.1    Morris, R.D.2    Zerubia, J.3    Berthod, M.4
  • 7
    • 51249176277 scopus 로고
    • Clustering estimates for spatial point distributions with unstable potentials
    • GATES, D. J. and M. WESTCOTT (1986), Clustering estimates for spatial point distributions with unstable potentials, Annals of the Institute of Statistical Mathematics 38, 123-135.
    • (1986) Annals of the Institute of Statistical Mathematics , vol.38 , pp. 123-135
    • Gates, D.J.1    Westcott, M.2
  • 8
    • 0000106855 scopus 로고
    • On the convergence of Monte Carlo maximum likelihood calculations
    • GEYER, C. J. (1994), On the convergence of Monte Carlo maximum likelihood calculations, Journal of the Royal Statistical Society, Series B 56, 261-274.
    • (1994) Journal of the Royal Statistical Society, Series B , vol.56 , pp. 261-274
    • Geyer, C.J.1
  • 9
    • 0002218961 scopus 로고    scopus 로고
    • Likelihood inference for spatial point processes
    • O. BARNDORFF-NIELSEN, W. S. KENDALL and M. N. M. VAN LIESHOUT (eds.), CRC Press/Chapman and Hall, Boca Raton
    • GEYER, C. J. (1999), Likelihood inference for spatial point processes, in: O. BARNDORFF-NIELSEN, W. S. KENDALL and M. N. M. VAN LIESHOUT (eds.), Stochastic geometry, likelihood and computation, CRC Press/Chapman and Hall, Boca Raton.
    • (1999) Stochastic Geometry, Likelihood and Computation
    • Geyer, C.J.1
  • 10
    • 0001309227 scopus 로고
    • Simulation procedures and likelihood inference for spatial point processes
    • GEYER, C. J. and J. MØLLER (1994), Simulation procedures and likelihood inference for spatial point processes, Scandinavian Journal of Statistics 21, 359-373.
    • (1994) Scandinavian Journal of Statistics , vol.21 , pp. 359-373
    • Geyer, C.J.1    Møller, J.2
  • 14
    • 77956889087 scopus 로고
    • Reversible jump MCMC computation and Bayesian model determination
    • GREEN, P. J. (1995), Reversible jump MCMC computation and Bayesian model determination. Biometrika 82, 711-732.
    • (1995) Biometrika , vol.82 , pp. 711-732
    • Green, P.J.1
  • 16
    • 0035532138 scopus 로고    scopus 로고
    • Maximum likelihood estimation for spatial models by Markov chain Monte Carlo stochastic approximation
    • GU, M. G. and H-T. ZHU (2001), Maximum likelihood estimation for spatial models by Markov chain Monte Carlo stochastic approximation, Journal of the Royal Statistical Society, Series B 63, 339-355.
    • (2001) Journal of the Royal Statistical Society, Series B , vol.63 , pp. 339-355
    • Gu, M.G.1    Zhu, H.-T.2
  • 17
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their application
    • HASTINGS, W. (1970), Monte Carlo sampling methods using Markov chains and their application, Biometrika 57, 97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.1
  • 18
    • 0007117507 scopus 로고    scopus 로고
    • A two-step Markov point process
    • Department of Electrical Computer Engineering, University of Wisconsin-Madison
    • HAYAT, M. M. and J. A. GUBNER (1996), A two-step Markov point process, Technical report ECE-96-2, Department of Electrical Computer Engineering, University of Wisconsin-Madison.
    • (1996) Technical Report , vol.ECE-96-2
    • Hayat, M.M.1    Gubner, J.A.2
  • 19
    • 0034264679 scopus 로고    scopus 로고
    • Perfect Metropolis-Hastings simulation of locally stable spatial point processes
    • KENDALL, W. S. and J. MØLLER (2000), Perfect Metropolis-Hastings simulation of locally stable spatial point processes, Advances in Applied Probability (SGSA) 32, 844-865.
    • (2000) Advances in Applied Probability (SGSA) , vol.32 , pp. 844-865
    • Kendall, W.S.1    Møller, J.2
  • 23
    • 0002755026 scopus 로고
    • Stochastic approximation of the MLE for a spatial point pattern
    • MOYEED R. A. and A. J. BADDELEY (1991), Stochastic approximation of the MLE for a spatial point pattern, Scandinavian Journal of Statistics 18, 39-50.
    • (1991) Scandinavian Journal of Statistics , vol.18 , pp. 39-50
    • Moyeed, R.A.1    Baddeley, A.J.2
  • 24
    • 0001625977 scopus 로고    scopus 로고
    • Markov chain Monte Carlo and spatial point processes
    • O. BARNDORFF-NIELSEN, W. S. KENDALL and M. N. M. VAN LIESHOUT (eds.), CRC Press/Chapman and Hall, Boca Raton
    • MØLLER, J. (1999), Markov chain Monte Carlo and spatial point processes, in: O. BARNDORFF-NIELSEN, W. S. KENDALL and M. N. M. VAN LIESHOUT (eds.), Stochastic geometry, likelihood and computation, CRC Press/Chapman and Hall, Boca Raton.
    • (1999) Stochastic Geometry, Likelihood and Computation
    • Møller, J.1
  • 25
    • 51249183003 scopus 로고
    • Estimation for interaction potentials of spatial point patterns through the maximum likelihood procedure
    • OGATA, Y. and M. TANEMURA (1981), Estimation for interaction potentials of spatial point patterns through the maximum likelihood procedure, Annals of the Institute of Statistical Mathematics 33, 315-338.
    • (1981) Annals of the Institute of Statistical Mathematics , vol.33 , pp. 315-338
    • Ogata, Y.1    Tanemura, M.2
  • 26
    • 0002230946 scopus 로고
    • Modelling interaction in spatial point patterns: Parameter estimation by the maximum likelihood method
    • University of Jyväskylä
    • PENTTINEN, A. (1984), Modelling interaction in spatial point patterns: parameter estimation by the maximum likelihood method, Jyväskylä Studies in Computer Science, Economics and Statistics (Vol. 7), University of Jyväskylä.
    • (1984) Jyväskylä Studies in Computer Science, Economics and Statistics , vol.7
    • Penttinen, A.1
  • 27
    • 0015730787 scopus 로고
    • Optimum Monte Carlo sampling using Markov chains
    • PESKUN, P. (1973), Optimum Monte Carlo sampling using Markov chains, Biometrika 60, 607-612.
    • (1973) Biometrika , vol.60 , pp. 607-612
    • Peskun, P.1
  • 29
    • 0005193926 scopus 로고    scopus 로고
    • Exact sampling with coupled Markov chains and applications to statistical mechanics
    • PROPP, J. G. and D. B. WILSON (1996), Exact sampling with coupled Markov chains and applications to statistical mechanics, Random Structures and Algorithms 9, 223-252.
    • (1996) Random Structures and Algorithms , vol.9 , pp. 223-252
    • Propp, J.G.1    Wilson, D.B.2
  • 32
    • 0001490159 scopus 로고    scopus 로고
    • Bayesian object identification
    • RUE, H. and M. A. HURN (1999), Bayesian object identification, Biometrika 86, 649-660.
    • (1999) Biometrika , vol.86 , pp. 649-660
    • Rue, H.1    Hurn, M.A.2
  • 33
    • 0041724129 scopus 로고    scopus 로고
    • Identification of partly destroyed objects using dynamic polygons
    • RUE, H. and O. K. HUSBY (1998), Identification of partly destroyed objects using dynamic polygons, Statistics and Computing 8, 221-228.
    • (1998) Statistics and Computing , vol.8 , pp. 221-228
    • Rue, H.1    Husby, O.K.2
  • 37
    • 0006542564 scopus 로고    scopus 로고
    • A Gibbs point process for road extraction in remotely sensed images
    • INRIA Sophia Antipolis
    • STOICA, R., X. DESCOMBES and J. ZERUBIA (2000), A Gibbs point process for road extraction in remotely sensed images, Research report 3923, INRIA Sophia Antipolis.
    • (2000) Research Report , vol.3923
    • Stoica, R.1    Descombes, X.2    Zerubia, J.3
  • 38
    • 0039523927 scopus 로고    scopus 로고
    • Non-homogeneous Gibbs process models for forestry - A case study
    • STOYAN, D. and H. STOYAN (1998), Non-homogeneous Gibbs process models for forestry - a case study, Biometrical Journal 40, 521-531.
    • (1998) Biometrical Journal , vol.40 , pp. 521-531
    • Stoyan, D.1    Stoyan, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.