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1992 | OriginalPaper | Chapter

Statistical analysis of Markov random fields using large deviation estimates

Author : F. Comets

Published in: Stochastic Models, Statistical Methods, and Algorithms in Image Analysis

Publisher: Springer New York

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We discuss a probabilistic large deviation estimate and some applications to parametric estimation for Markov random fields. The major interest is that this estimate holds independently of phase transition. It yields general consistency results, covering for instance both maximum likehood estimator and pseudo-likelihood estimator for complete observations ; we also present other applications.

Metadata
Title
Statistical analysis of Markov random fields using large deviation estimates
Author
F. Comets
Copyright Year
1992
Publisher
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-2920-9_9