Criteria for testing nonparametric hypotheses for random processes

A criterion is constructed for testing the hypothesis on the homogeneity of the distributions of two random processes and some other hypotheses, consistent in a large class of alternatives.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 8–13, 1990.