메뉴 건너뛰기




Volumn 23, Issue 3, 2008, Pages 361-379

Bayesian modeling of continuously marked spatial point patterns

Author keywords

Mark chemical activity function; MCMC; Pairwise interacting point process; Reversible jump MCMC

Indexed keywords


EID: 47749120607     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-007-0073-9     Document Type: Article
Times cited : (2)

References (44)
  • 1
    • 0002826444 scopus 로고
    • Nearest-neighbor Markov point processes and random sets
    • Baddeley A, Møller J (1989) Nearest-neighbor Markov point processes and random sets. Int Stat Rev 57:57-89
    • (1989) Int Stat Rev , vol.57 , pp. 57-89
    • Baddeley, A.1    Møller, J.2
  • 2
    • 0005459531 scopus 로고    scopus 로고
    • Practical maximum pseudolikelihood for spatial point patterns
    • Baddeley A, Turner R (2000) Practical maximum pseudolikelihood for spatial point patterns. Aust NZ J Stat 42:283-322
    • (2000) Aust NZ J Stat , vol.42 , pp. 283-322
    • Baddeley, A.1    Turner, R.2
  • 4
    • 0002733195 scopus 로고
    • Approximating point process likelihoods with GLIM
    • Berman M, Turner R (1992) Approximating point process likelihoods with GLIM. Appl Stat 41:31-38
    • (1992) Appl Stat , vol.41 , pp. 31-38
    • Berman, M.1    Turner, R.2
  • 5
    • 13644251916 scopus 로고    scopus 로고
    • Bayesian inference for spatially inhomogeneous pairwise interacting point processes
    • 1
    • Bognar MA (2005) Bayesian inference for spatially inhomogeneous pairwise interacting point processes. Comput Stat Data Anal 49(1):1-18
    • (2005) Comput Stat Data Anal , vol.49 , pp. 1-18
    • Bognar, M.A.1
  • 6
    • 3943075771 scopus 로고    scopus 로고
    • Bayesian inference for pairwise interacting point processes
    • Bognar MA, Cowles MK (2004) Bayesian inference for pairwise interacting point processes. Stat Comput 14:109-117
    • (2004) Stat Comput , vol.14 , pp. 109-117
    • Bognar, M.A.1    Cowles, M.K.2
  • 7
    • 0032273615 scopus 로고    scopus 로고
    • General methods for monitoring convergence of iterative simulations
    • Brooks S, Gelman A (1998) General methods for monitoring convergence of iterative simulations. J Comput Graph Stat 7:434-455
    • (1998) J Comput Graph Stat , vol.7 , pp. 434-455
    • Brooks, S.1    Gelman, A.2
  • 10
    • 3943095565 scopus 로고    scopus 로고
    • Description of tree distribution patterns and their development through marked Gibbs processes
    • Degenhardt A (1999) Description of tree distribution patterns and their development through marked Gibbs processes. Biometrika 74:763-770
    • (1999) Biometrika , vol.74 , pp. 763-770
    • Degenhardt, A.1
  • 13
    • 0000355035 scopus 로고
    • A nonparametric estimator for pairwise interaction point processes
    • Diggle PJ, Gates DJ, Stibbard A (1987) A nonparametric estimator for pairwise interaction point processes. Biometrika 74:763-770
    • (1987) Biometrika , vol.74 , pp. 763-770
    • Diggle, P.J.1    Gates, D.J.2    Stibbard, A.3
  • 14
    • 0000423415 scopus 로고
    • Estimation of parameterized pair potentials of marked and unmarked Gibbsian point processes
    • Fiksel T (1984) Estimation of parameterized pair potentials of marked and unmarked Gibbsian point processes. Elektronische Informationsverarbeitung und Kypernetik 20:270-278
    • (1984) Elektronische Informationsverarbeitung und Kypernetik , vol.20 , pp. 270-278
    • Fiksel, T.1
  • 15
    • 51249176277 scopus 로고
    • Clustering estimates for spatial point distributions with unstable potentials
    • Gates DJ, Westcott M (1986) Clustering estimates for spatial point distributions with unstable potentials. Ann Inst Stat Math 38:123-135
    • (1986) Ann Inst Stat Math , vol.38 , pp. 123-135
    • Gates, D.J.1    Westcott, M.2
  • 16
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences (with discussion)
    • Gelman A, Rubin DB (1992) Inference from iterative simulation using multiple sequences (with discussion). Stat Sci 7:457-511
    • (1992) Stat Sci , vol.7 , pp. 457-511
    • Gelman, A.1    Rubin, D.B.2
  • 17
    • 0001309227 scopus 로고
    • Simulation procedures and likelihood inference for spatial point processes
    • Geyer CJ, Møller J (1994) Simulation procedures and likelihood inference for spatial point processes. Scand J Stat 21:359-373
    • (1994) Scand J Stat , vol.21 , pp. 359-373
    • Geyer, C.J.1    Møller, J.2
  • 18
    • 0040304544 scopus 로고    scopus 로고
    • Parameter estimation for marked Gibbs point processes through the maximum pseudo-likelihood method
    • Goulard M, Särkkä A, Grabarnik P (1996) Parameter estimation for marked Gibbs point processes through the maximum pseudo-likelihood method. Scand J Stat 23:365-379
    • (1996) Scand J Stat , vol.23 , pp. 365-379
    • Goulard, M.1    Särkkä, A.2    Grabarnik, P.3
  • 19
    • 77956889087 scopus 로고
    • Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
    • Green PJ (1995) Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82:711-732
    • (1995) Biometrika , vol.82 , pp. 711-732
    • Green, P.J.1
  • 20
    • 0001620770 scopus 로고
    • A bivariate spatial point pattern of ants' nests
    • Harkness RD, Isham V (1983) A bivariate spatial point pattern of ants' nests. Appl Stat 32:293-303
    • (1983) Appl Stat , vol.32 , pp. 293-303
    • Harkness, R.D.1    Isham, V.2
  • 21
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • Hastings WK (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57:97-109
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 22
    • 0032364029 scopus 로고    scopus 로고
    • Non-parametric Bayesian estimation of a spatial Poisson intensity
    • Heikkinen J, Arjas E (1998) Non-parametric Bayesian estimation of a spatial Poisson intensity. Scand J Stat 25:435-450
    • (1998) Scand J Stat , vol.25 , pp. 435-450
    • Heikkinen, J.1    Arjas, E.2
  • 23
    • 0041827708 scopus 로고    scopus 로고
    • Bayesian smoothing in the estimation of the pair potential function of Gibbs point patterns
    • Heikkinen J, Penttinen A (1999) Bayesian smoothing in the estimation of the pair potential function of Gibbs point patterns. Bernoulli 5:1119-1136
    • (1999) Bernoulli , vol.5 , pp. 1119-1136
    • Heikkinen, J.1    Penttinen, A.2
  • 24
    • 0000849716 scopus 로고
    • Pseudolikelihood for exponential family models of spatial point processes
    • Jensen JL, Møller J (1991) Pseudolikelihood for exponential family models of spatial point processes. Ann Appl Probab 3:445-461
    • (1991) Ann Appl Probab , vol.3 , pp. 445-461
    • Jensen, J.L.1    Møller, J.2
  • 25
    • 0017154989 scopus 로고
    • On Strauss' model for clustering
    • Kelly FP, Ripley BD (1976) On Strauss' model for clustering. Biometrika 63:357-360
    • (1976) Biometrika , vol.63 , pp. 357-360
    • Kelly, F.P.1    Ripley, B.D.2
  • 26
    • 0035297749 scopus 로고    scopus 로고
    • Likelihood inference for Gibbs processes in the analysis of spatial point patterns
    • Mateu J, Montes F (2001) Likelihood inference for Gibbs processes in the analysis of spatial point patterns. Int Stat Rev 69:81-104
    • (2001) Int Stat Rev , vol.69 , pp. 81-104
    • Mateu, J.1    Montes, F.2
  • 30
    • 51249183003 scopus 로고
    • Estimation of interaction potentials of spatial point patterns through the maximum likelihood procedure
    • Ogata Y, Tanemura M (1981) Estimation of interaction potentials of spatial point patterns through the maximum likelihood procedure. Ann Inst Stat Math 33:315-338
    • (1981) Ann Inst Stat Math , vol.33 , pp. 315-338
    • Ogata, Y.1    Tanemura, M.2
  • 31
    • 0000333882 scopus 로고
    • Likelihood analysis of spatial point patterns
    • Ogata Y, Tanemura M (1984) Likelihood analysis of spatial point patterns. J Roy Stat Soc B 46:496-518
    • (1984) J Roy Stat Soc B , vol.46 , pp. 496-518
    • Ogata, Y.1    Tanemura, M.2
  • 32
    • 0022251657 scopus 로고
    • Estimation of interaction potentials of marked spatial point patterns through the maximum likelihood method
    • Ogata Y, Tanemura M (1985) Estimation of interaction potentials of marked spatial point patterns through the maximum likelihood method. Biometrics 41:421-433
    • (1985) Biometrics , vol.41 , pp. 421-433
    • Ogata, Y.1    Tanemura, M.2
  • 33
    • 0001564783 scopus 로고
    • Likelihood estimation of interaction potentials and external fields of inhomogeneous spatial point patterns
    • Elsevier Amsterdam
    • Ogata Y, Tanemura M (1986) Likelihood estimation of interaction potentials and external fields of inhomogeneous spatial point patterns. In: Francis IS, Manly BFJ, Lam FC (eds) Proceedings of the Pacific Statistical Congress. Elsevier, Amsterdam, pp 150-154
    • (1986) Proceedings of the Pacific Statistical Congress. , pp. 150-154
    • Ogata, Y.1    Tanemura, M.2    Francis, I.S.3    Manly, B.F.J.4    Lam, F.C.5
  • 34
    • 0000897279 scopus 로고
    • Likelihood estimation of soft-core interaction potentials for Gibbsian point patterns
    • Ogata Y, Tanemura M (1989) Likelihood estimation of soft-core interaction potentials for Gibbsian point patterns. Ann Inst Stat Math 41:583-600
    • (1989) Ann Inst Stat Math , vol.41 , pp. 583-600
    • Ogata, Y.1    Tanemura, M.2
  • 36
    • 0000135848 scopus 로고
    • Modeling spatial patterns (with discussion)
    • Ripley BD (1977) Modeling spatial patterns (with discussion). J Roy Stat Soc B 39:172-212
    • (1977) J Roy Stat Soc B , vol.39 , pp. 172-212
    • Ripley, B.D.1
  • 38
    • 0003174553 scopus 로고
    • Bayesian statistics without tears: A sampling resampling perspective
    • Smith AFM, Gelfand AE (1992) Bayesian statistics without tears: a sampling resampling perspective. Am Stat 46:84-88
    • (1992) Am Stat , vol.46 , pp. 84-88
    • Smith, A.F.M.1    Gelfand, A.E.2
  • 40
    • 0002715683 scopus 로고    scopus 로고
    • Recent applications of point process methods in forestry statistics
    • Stoyan D, Penttinen A (2000) Recent applications of point process methods in forestry statistics. Stat Sci 15:61-78
    • (2000) Stat Sci , vol.15 , pp. 61-78
    • Stoyan, D.1    Penttinen, A.2
  • 41
    • 0039523927 scopus 로고    scopus 로고
    • Non-homogeneous Gibbs process models for forestry-a case study
    • Stoyan D, Stoyan H (1998) Non-homogeneous Gibbs process models for forestry-a case study. Biometrical J 40:521-531
    • (1998) Biometrical J , vol.40 , pp. 521-531
    • Stoyan, D.1    Stoyan, H.2
  • 42
    • 0016689445 scopus 로고
    • A model for clustering
    • Strauss D (1975) A model for clustering. Biometrika 62:467-475
    • (1975) Biometrika , vol.62 , pp. 467-475
    • Strauss, D.1
  • 43
    • 0001287396 scopus 로고
    • Estimator for the pair-potential of a Gibbsian point process
    • Takacs R (1986) Estimator for the pair-potential of a Gibbsian point process. Stat 17:429-433
    • (1986) Stat , vol.17 , pp. 429-433
    • Takacs, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.