However, this is not to say that the two main interpretations of the term "collocation", the distributional and the idiosyncratic one, are disjoint, i.e., necessarily lead to a different judgement with respect to the collocation status of a word combination.
: two lexical items that form an idiosyncratic co-occurrence are likely to occur together in a corpus with a high value of Pointwise Mutual Information (P M I) (Church and Hanks, 1989): (1) The P M I indicates that if two variables a and b are independent, the probability of their intersection is the product of their probabilities.