Open Access
2011 On a nonparametric resampling scheme for Markov random fields
Lionel Truquet
Electron. J. Statist. 5: 1503-1536 (2011). DOI: 10.1214/11-EJS644


We study an extension to general Markov random fields of the resampling scheme given in Bickel and Levina (2006) [4] for texture synthesis with stationary Markov mesh models. The procedure generates bootstrap replicates of a sample using kernel regression and the principle of Gibbs sampling. Consistency of the bootstrap distribution is investigated under the Dobrushin contraction condition. Some simulation examples are given, in particular for the texture synthesis, for which the multiscale algorithm of Paget and Longstaff (1998) [27] is revisited.


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Lionel Truquet. "On a nonparametric resampling scheme for Markov random fields." Electron. J. Statist. 5 1503 - 1536, 2011.


Published: 2011
First available in Project Euclid: 23 November 2011

zbMATH: 1271.62215
MathSciNet: MR2861696
Digital Object Identifier: 10.1214/11-EJS644

Primary: 62M40
Secondary: 62G08 , 62G09

Keywords: image analysis , Nonparametric regression , Random fields , Resampling methods

Rights: Copyright © 2011 The Institute of Mathematical Statistics and the Bernoulli Society

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