S

S. Kullback

George Washington University

Publishes on Advanced Statistical Methods and Models, Statistical Methods and Inference, History and advancements in chemistry. 113 papers and 25.9k citations.

113Publications
25.9kTotal Citations

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Contingency tables with given marginals
C. T. Ireland, S. Kullback|Biometrika|1968
Cited by 364

In its simplest formulation the problem considered is to estimate the cell probabilities Pij of an r × c contingency table for which the marginal probabilities Pi and Pj are known and fixed, so as to minimize ΣΣpij In (pij/πij), where πij are the corresponding entries in a given contingency table. An iterative procedure is given for determining the estimates and it is shown that the estimates are BAN, and that the iterative procedure is convergent. A summary of results for a four-way contingency table is given. An illustrative example is given.