Abstract
A construction of n-distance is used to give two different estimators of the closeness of the measures with a finite number of identical projections in some directions (in some non-standard way, we will call such projection marginals, or marginal projections). First estimator is universal in the sense that it is independent of the choice of the directions of marginal projections.
The second estimator provides much better closeness of the distributions with identical marginal projections in some specially chosen directions.