M. S. Ermakov, “On uniform consistency of nonparametric tests. II”, Zap. Nauchn. Sem. POMI, 2020, Volume 495,Pages <nobr>147

This article is cited in 2 papers

On uniform consistency of nonparametric tests. II

M. S. Ermakov^ab

^a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
^b Saint Petersburg State University

Abstract: We provide necessary and sufficient conditions of uniform consistency of nonparametric sets of alternatives for Kolmogorov test. Nonparametric sets of alternatives can be defined both in terms of densities and distribution functions.

Key words and phrases: goodness of fit tests, consistency, Kolmogorov test, maxisets.

UDC: 519.2

Received: 14.09.2020