--- res: bibo_abstract: - Relational models for contingency tables are generalizations of log-linear models, allowing effects associated with arbitrary subsets of cells in the table, and not necessarily containing the overall effect, that is, a common parameter in every cell. Similarly to log-linear models, relational models can be extended to non-negative distributions, but the extension requires more complex methods. An extended relational model is defined as an algebraic variety, and it turns out to be the closure of the original model with respect to the Bregman divergence. In the extended relational model, the MLE of the cell parameters always exists and is unique, but some of its properties may be different from those of the MLE under log-linear models. The MLE can be computed using a generalized iterative scaling procedure based on Bregman projections. @eng bibo_authorlist: - foaf_Person: foaf_givenName: Anna foaf_name: Klimova, Anna foaf_surname: Klimova foaf_workInfoHomepage: http://www.librecat.org/personId=31934120-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Tamás foaf_name: Rudas, Tamás foaf_surname: Rudas bibo_doi: 10.1016/j.jmva.2015.10.005 bibo_volume: 143 dct_date: 2016^xs_gYear dct_language: eng dct_publisher: Elsevier@ dct_title: On the closure of relational models@ ...