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Combining Euclidean and composite likelihood for binary spatial data estimation
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DOI：10.1007/s00477-014-0938-8.png)
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In this paper we propose a blockwise Euclidean likelihood method for the estimation of a spatial binary field obtained by thresholding a latent Gaussian random field. The moment conditions used in the Euclidean likelihood estimator derive from the score of the composite likelihood based on marginal pairs. A feature of this approach is that it is possible to obtain computational benefits with respect to the pairwise likelihood depending on the choice of the spatial blocks. A simulation study and an analysis on cancer mortality data compares the two methods in terms of statistical and computational efficiency. We also study the asymptotic properties of the proposed estimator.
Keyword:
Binary spatial fields
Latent gaussian fields
Euclidean likelihood
Composite likelihood
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