  In one-dimensional case the search for presence of the anomalous phenomena in
multiplicity distributions is usually performed in frame of the horizontal,
vertical and mixed types of the analysis. We show that if the data involve a
d-dimensional phase space, there exists a convenient procedure, generalizing
the one-dimensional approach, which allows to introduce more non-trivial types
of the analysis; we formulate them in some detail in one-, two-, and partially
also in three-dimensions.
