메뉴 건너뛰기




Volumn 50, Issue 3, 2008, Pages 257-272

Non-parametric Bayesian inference for inhomogeneous Markov point processes

Author keywords

Auxiliary variable method; Hard core; Markov chain Monte Carlo; Pairwise interaction point process; Partially ordered Markov point process; Perfect simulation; Shot noise process

Indexed keywords


EID: 51349096034     PISSN: 13691473     EISSN: 1467842X     Source Type: Journal    
DOI: 10.1111/j.1467-842X.2008.00516.x     Document Type: Article
Times cited : (14)

References (22)
  • 1
    • 0034347971 scopus 로고    scopus 로고
    • Non- and semi-parametric estimation of interaction in inhomogeneous point patterns
    • &
    • Baddeley, A., Møller, J. & Waagepetersen, R. (2000). Non- and semi-parametric estimation of interaction in inhomogeneous point patterns. Statist. Neerlandica 54, 329 350.
    • (2000) Statist. Neerlandica , vol.54 , pp. 329-350
    • Baddeley, A.1    Møller, J.2    Waagepetersen, R.3
  • 2
    • 0041360504 scopus 로고    scopus 로고
    • Likelihood and non-parametric Bayesian MCMC inference for spatial point processes based on perfect simulation and path sampling
    • &
    • Berthelsen, K.K. & Møller, J. (2003). Likelihood and non-parametric Bayesian MCMC inference for spatial point processes based on perfect simulation and path sampling. Scand. J. Statist. 30, 549 564.
    • (2003) Scand. J. Statist. , vol.30 , pp. 549-564
    • Berthelsen, K.K.1    Møller, J.2
  • 3
    • 33745607179 scopus 로고    scopus 로고
    • Bayesian analysis of Markov point processes
    • & In. eds. A. Baddeley, P. Gregori, J. Mateu, R. Stoica. & D. Stoyan, Springer Lecture Notes in Statistics 185, pp. New York: Springer-Verlag.
    • Berthelsen, K.K. & Møller, J. (2006). Bayesian analysis of Markov point processes. In Case Studies in Spatial Point Process, eds A. Baddeley, P. Gregori, J. Mateu, R. Stoica & D. Stoyan, Springer Lecture Notes in Statistics 185, pp. 85 97. New York : Springer-Verlag.
    • (2006) Case Studies in Spatial Point Process , pp. 85-97
    • Berthelsen, K.K.1    Møller, J.2
  • 6
    • 0022249579 scopus 로고
    • A kernel method for smoothing point process data
    • Diggle, P.J. (1985). A kernel method for smoothing point process data. Appl. Stat. 34, 138 147.
    • (1985) Appl. Stat. , vol.34 , pp. 138-147
    • Diggle, P.J.1
  • 8
    • 0000736067 scopus 로고    scopus 로고
    • Simulating normalizing constants: From importance sampling to bridge sampling to path sampling
    • &
    • Gelman, A. & Meng, X.-L. (1998). Simulating normalizing constants: from importance sampling to bridge sampling to path sampling. Statist. Sci. 13, 163 185.
    • (1998) Statist. Sci. , vol.13 , pp. 163-185
    • Gelman, A.1    Meng, X.-L.2
  • 9
    • 25444484077 scopus 로고    scopus 로고
    • Posterior predictive assessment of model fitness via realized discrepancies
    • &
    • Gelman, A., Meng, X.-L. & Stern, H. (1996). Posterior predictive assessment of model fitness via realized discrepancies. Statist. Sinica 6, 733 807.
    • (1996) Statist. Sinica , vol.6 , pp. 733-807
    • Gelman, A.1    Meng, X.-L.2    Stern, H.3
  • 10
    • 0001309227 scopus 로고
    • Simulation procedures and likelihood inference for spatial point processes
    • &
    • Geyer, C.J. & Møller, J. (1994). Simulation procedures and likelihood inference for spatial point processes. Scand. J. Statist. 21, 359 373.
    • (1994) Scand. J. Statist. , vol.21 , pp. 359-373
    • Geyer, C.J.1    Møller, J.2
  • 11
    • 0036970574 scopus 로고    scopus 로고
    • Hidden Markov models and disease mapping
    • &
    • Green, P.J. & Richardson, S. (2002). Hidden Markov models and disease mapping. J. Am. Statist. Assoc. 97, 1055 1070.
    • (2002) J. Am. Statist. Assoc. , vol.97 , pp. 1055-1070
    • Green, P.J.1    Richardson, S.2
  • 12
    • 0038721254 scopus 로고    scopus 로고
    • Inhomogeneous spatial point processes by location dependent scaling
    • &
    • Hahn, U., Jensen, E.B.V., van Lieshout, M.-C. & Nielsen, L.S. (2003). Inhomogeneous spatial point processes by location dependent scaling. Adv. Appl. Prob. 35, 319 336.
    • (2003) Adv. Appl. Prob. , vol.35 , pp. 319-336
    • Hahn, U.1    Jensen, E.B.V.2    Van Lieshout, M.-C.3    Nielsen, L.S.4
  • 13
    • 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. Statist. 25, 435 450.
    • (1998) Scand. J. Statist. , vol.25 , pp. 435-450
    • Heikkinen, J.1    Arjas, E.2
  • 14
    • 0038447807 scopus 로고    scopus 로고
    • Inhomogeneous Markov point processes by transformation
    • &
    • Jensen, E.B.V. & Nielsen, L.S. (2000). Inhomogeneous Markov point processes by transformation. Bernoulli 6, 761 782.
    • (2000) Bernoulli , vol.6 , pp. 761-782
    • Jensen, E.B.V.1    Nielsen, L.S.2
  • 15
    • 0034264679 scopus 로고    scopus 로고
    • Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
    • &
    • Kendall, W.S. & Møller, J. (2000). Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes. Adv. Appl. Prob. 32, 844 865.
    • (2000) Adv. Appl. Prob. , vol.32 , pp. 844-865
    • Kendall, W.S.1    Møller, J.2
  • 16
    • 0041878892 scopus 로고    scopus 로고
    • Shot noise Cox processes
    • Møller, J. (2003). Shot noise Cox processes. Adv. Appl. Probab. 35, 614 640.
    • (2003) Adv. Appl. Probab. , vol.35 , pp. 614-640
    • Møller, J.1
  • 18
    • 33745612435 scopus 로고    scopus 로고
    • An efficient Markov chain Monte Carlo method for distributions with intractable normalising constants
    • &
    • Møller, J., Pettitt, A.N., Reeves, R. & Berthelsen, K.K. (2006). An efficient Markov chain Monte Carlo method for distributions with intractable normalising constants. Biometrika 93, 451 458.
    • (2006) Biometrika , vol.93 , pp. 451-458
    • Møller, J.1    Pettitt, A.N.2    Reeves, R.3    Berthelsen, K.K.4
  • 19
    • 1542331470 scopus 로고    scopus 로고
    • Modelling the position of cell profiles allowing for both inhomogeneity and interaction
    • Nielsen, L.S. (2000). Modelling the position of cell profiles allowing for both inhomogeneity and interaction. Image Anal. Stereol. 19, 183 187.
    • (2000) Image Anal. Stereol. , vol.19 , pp. 183-187
    • Nielsen, L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.