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Empirical Bayes estimation for marriage preferences are worked under two kinds of beliefs regarding the parameters, e.g., where the marriage preferences seem to be equal or not. In both cases priors are in accordance with beliefs. Computational methods for different hyperparameters of the empirical Bayes are developed. It is seen from the data that a male of age i has preferences of marrying a woman in age category j . A general model of preferences is given using empirical Bayes procedure. Real life data are considered, preference patterns are analysed and a smooth estimate is given.