Separable statistics derived from a given separable statistic by “restricting” the probability space

The problem of derivation of a separable statistic from another separable statistic is considered for the case of a distribution with atoms. This work was performed with the financial support of the International Science Foundation's “Cultural Initiative”. Translated fromStatisticheskie Metody Proverki i Otsenivaniya Gipotez, pp. 109–117, Perm, 1993.