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Forward recursions and normalizing constant
Guyon X., Hardouin C.
http://hal.archives-ouvertes.fr/hal-00437876
Preprint, Working Paper, ...
Mathematics/Statistics
Statistics/Statistics Theory
Forward recursions and normalizing constant
Xavier Guyon 1, 2, Cécile Hardouin () 1, 2
1:  Statistique Appliquée et MOdélisation Stochastique (SAMOS)
http://samos.univ-paris1.fr/
Université Paris I - Panthéon-Sorbonne
Centre Pierre Mendès France 90 Rue de Tolbiac - 75634 Paris Cedex 13
France
2:  Centre d'économie de la Sorbonne (CES)
http://centredeconomiesorbonne.univ-paris1.fr/
CNRS : UMR8174 – Université Paris I - Panthéon-Sorbonne
Maison des Sciences Économiques - 106-112 Boulevard de l'Hôpital - 75647 Paris Cedex 13
France
Maximum likelihood parameter estimation is frequently replaced by various techniques because of its intractable normalizing constant. In the same way, the literature displays various alternatives for distributions involving such unreachable constants. In this paper, we consider a Gibbs distribution $\pi $ and present a recurrence formula allowing a recursive calculus of the marginals of $\pi $ and in the same time its normalizing constant$.$ The numerical performance of this algorithm is evaluated for several examples, particularly for an Ising model on a lattice.
English
2009-12-01

Gibbs distribution – interaction potential – Markov Chain – Markov field – marginal law – normalizing constant – Ising model.

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