[Authors] Klebanov L.B. [Title] A class of multivariate free of distribution statistical tests. [AMS Subj-class] 62G10 Nonparametric inference. Hypothesis testing. [Keywords] multivariate free of distribution statistical tests, probability distances, negative definite kernels. [Abstract] A wide class of distributional free multivariate statistical tests based on the use of negative definite kernels is given. The construction is similar to one of probability distances given by A.A.Zinger, A.V.Kakosyan and L.B.Klebanov, and may be used for distributions in Hilbert spaces. There are given two sample tests and test for two samples to belong to the same additive type. [Comments] LaTeX, 7 pp., Russian [Contact e-mail] levkleb@yahoo.com