For the multi-group Curie-Weiss model, the maximum likelihood estimator of within-group coupling parameters is consistent, asymptotically normal, and exponentially concentrated, with an application to optimal voting weights.
Large Deviations Techniques and Applications
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Reconstruction of the Probability Measure and the Coupling Parameters in a Curie-Weiss Model
For the multi-group Curie-Weiss model, the maximum likelihood estimator of within-group coupling parameters is consistent, asymptotically normal, and exponentially concentrated, with an application to optimal voting weights.