Equivalence of compositional expressions and independence relations in compositional models

Erratum: Equivalence of compositional expressions and independence relations in compositional models

“…which for n > 3 is larger than that reported in [1]. The error has no effect on the rest of the article, except that the In order to prove (1), consider first the simple compositional expressions with a given base sequence, say (X 1 , .…”

“…Finally, since the number of possible base sequences is n!, we get (1). (Received February 28, 2015) …”

“…In the Closing Note of the article [1] (see page 352), the number of simple compositional expressions was calculated incorrectly. Recall that a compositional expression is simple if it contains exactly one subexpression of the form "X Y ".…”

Compositional models, Bayesian models and recursive factorization models

“…(see Remark 4.6 in Malvestuto [19]) The support of the marginal of a probability distribution f (X) on a non-empty subset Y of X is given by the projection of the support of f (X) onto Y , that is,…”

“…Compositional models were also applied to belief functions [7,11,12], possibility functions [11] and Shenoy valuations [10]. A more general type of compositional model, namely, the model generated by a compositional expression, was introduced to compose two or more metric distribution functions [19,20], and such models find applications also to multidimensional databases [18,23].…”