Generalized pseudo-likelihood estimates for Markov random fields on lattice

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Huang, Fuchun and Ogata, Yosihiko (2002) Generalized pseudo-likelihood estimates for Markov random fields on lattice. Annals of the Institute of Statistical Mathematics, 54 (1). pp. 1-18. ISSN 0020-3157

Abstract

In this paper we generalize Besag's pseudo-likelihood function for spatial statistical models on a region of a lattice. The correspondingly defined maximum generalized pseudo-likelihood estimates (MGPLEs) are natural extensions of Besag's maximum pseudo-likelihood estimate (MPLE). The MGPLEs connect the MPLE and the maximum likelihood estimate. We carry out experimental calculations of the MGPLEs for spatial processes on the lattice. These simulation results clearly show better performances of the MGPLEs than the MPLE, and the performances of differently defined MGPLEs are compared. These are also illustrated by the application to two real data sets.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/1716
DOI https://doi.org/10.1023/A:1016170102988
Official URL http://dx.doi.org/10.1023/A:1016170102988
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > RFCD Classification > 280000 Information, Computing and Communication Sciences
Keywords auto-normal model, gibbs field, ising model, pseudo-likelihood
Citations in Scopus 27 - View on Scopus
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