Estimation and annealing for Gibbsian fields

Laurent Younes

Annales de l'I.H.P. Probabilités et statistiques (1988)

  • Volume: 24, Issue: 2, page 269-294
  • ISSN: 0246-0203

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Younes, Laurent. "Estimation and annealing for Gibbsian fields." Annales de l'I.H.P. Probabilités et statistiques 24.2 (1988): 269-294. <http://eudml.org/doc/77326>.

@article{Younes1988,
author = {Younes, Laurent},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {weak convergence; Gibbs distribution; finite configuration space; maximum likelihood estimator; stochastic gradient algorithm; Gibbs-sampler; inhomogeneous Markov chain; annealing algorithm; image processing},
language = {eng},
number = {2},
pages = {269-294},
publisher = {Gauthier-Villars},
title = {Estimation and annealing for Gibbsian fields},
url = {http://eudml.org/doc/77326},
volume = {24},
year = {1988},
}

TY - JOUR
AU - Younes, Laurent
TI - Estimation and annealing for Gibbsian fields
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1988
PB - Gauthier-Villars
VL - 24
IS - 2
SP - 269
EP - 294
LA - eng
KW - weak convergence; Gibbs distribution; finite configuration space; maximum likelihood estimator; stochastic gradient algorithm; Gibbs-sampler; inhomogeneous Markov chain; annealing algorithm; image processing
UR - http://eudml.org/doc/77326
ER -

References

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  1. [1] J. Besag, Spatial Interaction and Statistical Analysis of Lattice Systems, J. Royal Stat. Soc., B, vol. 36, 1974, p. 192-236. Zbl0327.60067MR373208
  2. [2] J. Besag, Statistical Analysis of Dirty Picture, preprint. Zbl0609.62150MR876840
  3. [3] D. Geman and S. Geman, Stochastic Relaxation and Bayesian Restauration of Images, I.E.E.E. Proc. Patt. Anal. Mach. Int., 6, 1985. Zbl0573.62030
  4. [4] X. Guyon, Pseudomaximum de vraisemblance et champs markoviens, Preprint, 1985. 
  5. [5] X. Guyon, Estimation d'un champ de Gibbs, preprint, 1986. 
  6. [6] D.L. Isaacson and R.W. Madsen, Markov Chains, Theory and Applications, Wiley, 1976. Zbl0332.60043MR407991
  7. [7] M. Métivier and P. Priouret, Théorèmes de convergence presque sure pour une classe d'algorithmes stochastique à pas décroissants, École Polytechnique Rapport Interne, n° 116, 1984. 
  8. [8] L. Younes, Thesis at University, Paris-XI, 1988. 

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