메뉴 건너뛰기




Volumn 35, Issue 1, 2003, Pages 4-26

Bayesian analysis of deformed tessellation models

Author keywords

Bayesian inference; Deformed template; Harris recurrence; Image analysis; Inhomogeneous poisson process; Markov chain Monte Carlo; Random tessellation; Reversible jump; Uniform ergodicity; Voronoi tessellation

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; IMAGE ANALYSIS; INFERENCE ENGINES; MARKOV PROCESSES; MONTE CARLO METHODS; NORMAL DISTRIBUTION; PERTURBATION TECHNIQUES; POISSON DISTRIBUTION;

EID: 0037359307     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1046366096     Document Type: Article
Times cited : (18)

References (31)
  • 1
    • 4243802697 scopus 로고    scopus 로고
    • Inference for generalized tessellation processes
    • Res. Rep. 504/00, Department of Probability and Statistics, University of Sheffield
    • Blackwell, P. G. (2000). Inference for generalized tessellation processes. Res. Rep. 504/00, Department of Probability and Statistics, University of Sheffield.
    • (2000)
    • Blackwell, P.G.1
  • 2
    • 0035024175 scopus 로고    scopus 로고
    • Bayesian inference for a random tessellation process
    • Blackwell, P. G. (2001). Bayesian inference for a random tessellation process. Biometrics 57, 502-507.
    • (2001) Biometrics , vol.57 , pp. 502-507
    • Blackwell, P.G.1
  • 3
    • 0000576596 scopus 로고
    • Discussion of the paper 'Markov chains for exploring posterior distributions' by Luke Tierney
    • Chan, K. S. and Geyer, C. J. (1994). Discussion of the paper 'Markov chains for exploring posterior distributions' by Luke Tierney. Ann. Statist. 22, 1747.
    • (1994) Ann. Statist. , vol.22 , pp. 1747
    • Chan, K.S.1    Geyer, C.J.2
  • 4
    • 0002548910 scopus 로고    scopus 로고
    • The sectional poisson voronoi tessellation is not a voronoi tessellation
    • Chiu, S. N., van de Weygaert, R. and Stoyan, D. (1996). The sectional Poisson Voronoi tessellation is not a Voronoi tessellation. Adv. Appl. Prob. 28, 356-376.
    • (1996) Adv. Appl. Prob. , vol.28 , pp. 356-376
    • Chiu, S.N.1    Van De Weygaert, R.2    Stoyan, D.3
  • 5
    • 84936916896 scopus 로고
    • Robust locally weighted regression and smoothing scatterplots
    • Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. J. Amer. Statist. Assoc. 74, 829-836.
    • (1979) J. Amer. Statist. Assoc. , vol.74 , pp. 829-836
    • Cleveland, W.S.1
  • 6
    • 0012907449 scopus 로고
    • An easily implemented generalized inverse Gaussian generator
    • Dagpunar, J. S. (1989). An easily implemented generalized inverse Gaussian generator. Commun. Statist. B: Simul. Comput. 18, 703-710.
    • (1989) Commun. Statist. B: Simul. Comput. , vol.18 , pp. 703-710
    • Dagpunar, J.S.1
  • 8
    • 0000736067 scopus 로고    scopus 로고
    • Simulating normalizing constants: From importance sampling to bridge sampling to path sampling
    • Gelman, A. and 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
    • 0002218961 scopus 로고    scopus 로고
    • Likelihood inference for spatial point processes
    • Stochastic Geometry: Likelihood and Computation; eds O. E. Barndorff-Nielsen, W. S. Kendall and M. N. M. van Lieshout, Chapman and Hall/CRC, Boca Raton, Fl
    • Geyer, C. J. (1999). Likelihood inference for spatial point processes. In Stochastic Geometry: Likelihood and Computation (Monogr. Statist. Appl. Prob. 80), eds O. E. Barndorff-Nielsen, W. S. Kendall and M. N. M. van Lieshout, Chapman and Hall/CRC, Boca Raton, Fl, pp. 79-140.
    • (1999) Monogr. Statist. Appl. Prob. , vol.80 , pp. 79-140
    • Geyer, C.J.1
  • 10
    • 0001309227 scopus 로고
    • Simulation procedures and likelihood inference for spatial point processes
    • Geyer, C. J. and Moøller, 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    Moøller, J.2
  • 12
    • 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
  • 14
    • 0000281374 scopus 로고
    • Representation of knowledge in complex systems (with discussion)
    • Grenander, U. and Miller, M. I. (1994). Representation of knowledge in complex systems (with discussion). J. R. Statist. Soc. B 56, 549-603.
    • (1994) J. R. Statist. Soc. B , vol.56 , pp. 549-603
    • Grenander, U.1    Miller, M.I.2
  • 16
    • 0002045845 scopus 로고
    • Spatial organization and territorial behaviour of the European badger
    • Kruuk, H. (1978). Spatial organization and territorial behaviour of the European badger, Meles meles. J. Zoology (London) 184, 1-19.
    • (1978) Meles Meles. J. Zoology (London) , vol.184 , pp. 1-19
    • Kruuk, H.1
  • 19
    • 0000605457 scopus 로고
    • Random Johnson-Mehl tessellations
    • Moøller, J. (1992). Random Johnson-Mehl tessellations. Adv. Appl. Prob. 24, 814-844.
    • (1992) Adv. Appl. Prob. , vol.24 , pp. 814-844
    • Moøller, J.1
  • 20
    • 0003231693 scopus 로고
    • Lectures on Random Voronoi Tessellations
    • Springer, New York
    • Moøller, J. (1994). Lectures on Random Voronoi Tessellations (Lecture Notes Statist. 87), Springer, New York.
    • (1994) Lecture Notes Statist. , vol.87
    • Moøller, J.1
  • 21
    • 0001645954 scopus 로고
    • Generation of Johnson-Mehl crystals and comparative analysis of models for random nucleation
    • Moøller, J. (1995). Generation of Johnson-Mehl crystals and comparative analysis of models for random nucleation. Adv. Appl. Prob. 27, 367-383.
    • (1995) Adv. Appl. Prob. , vol.27 , pp. 367-383
    • Moøller, J.1
  • 22
    • 15244339359 scopus 로고    scopus 로고
    • Topics in Voronoi and Johnson-Mehl tessellations
    • (Monogr. Statist. Appl. Prob. 80) eds O. E. Barndorff-Nielsen, W. S. Kendall and M. N. M. van Lieshout, Chapman and Hall/CRC, Boca Raton, FL
    • Moøller, J. (1999). Topics in Voronoi and Johnson-Mehl tessellations. In Stochastic Geometry: Likelihood and Computation (Monogr. Statist. Appl. Prob. 80) eds O. E. Barndorff-Nielsen, W. S. Kendall and M. N. M. van Lieshout, Chapman and Hall/CRC, Boca Raton, FL, pp. 173-198.
    • (1999) Stochastic Geometry: Likelihood and Computation , pp. 173-198
    • Moøller, J.1
  • 23
    • 84993698865 scopus 로고    scopus 로고
    • Bayesian image analysis with coloured Voronoi tessellations and a view to applications in reservoir modelling
    • Moøller, J. and Skare, OØ (2001). Bayesian image analysis with coloured Voronoi tessellations and a view to applications in reservoir modelling. Statist. Modelling 1, 213-232.
    • (2001) Statist. Modelling , vol.1 , pp. 213-232
    • Moøller, J.1    Skare, O.2
  • 24
    • 0012906846 scopus 로고    scopus 로고
    • Bayesian image analysis with Markov chain Monte Carlo and colored continuum triangulation mosaics
    • Nicholls, G. (1998). Bayesian image analysis with Markov chain Monte Carlo and colored continuum triangulation mosaics. J. R. Statist. Soc. B 60, 643-659.
    • (1998) J. R. Statist. Soc. B , vol.60 , pp. 643-659
    • Nicholls, G.1
  • 27
    • 0002074149 scopus 로고    scopus 로고
    • Geometric ergodicity and hybrid Markov chains
    • Roberts, G. O. and Rosenthal, J. S. (1997). Geometric ergodicity and hybrid Markov chains. Electron. Commun. Prob. 2, 13-25.
    • (1997) Electron. Commun. Prob. , vol.2 , pp. 13-25
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 28
    • 0032221199 scopus 로고    scopus 로고
    • Two convergence properties of hybrid samplers
    • Roberts, G. O. and Rosenthal, J. S. (1998). Two convergence properties of hybrid samplers. Ann. Appl. Prob. 8, 397-407.
    • (1998) Ann. Appl. Prob. , vol.8 , pp. 397-407
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 29
    • 0031285157 scopus 로고    scopus 로고
    • Weak convergence and optimal scaling of random walk Metropolis algorithms
    • Roberts, G. O., Gelman, A. and Gilks, W. R. (1997). Weak convergence and optimal scaling of random walk Metropolis algorithms. Ann. Appl. Prob. 7, 110-120.
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 110-120
    • Roberts, G.O.1    Gelman, A.2    Gilks, W.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.