Stepakhno V. I.
Ukr. Mat. Zh. - 1998. - 50, № 12. - pp. 1706–1711
We study the asymptotic behavior of a set of random vectors ξi, i = 1,..., m, whose coordinates are independent and identically distributed in a space of infinitely increasing dimension. We investigate the asymptotics of the distribution of the random vectors, the consistency of the sets M m (n) = ξ1,..., ξm and X n λ = x ∈ X n: ρ(x) ≤ λn, and the mutual location of pairs of vectors.
Ukr. Mat. Zh. - 1993. - 45, № 6. - pp. 871–875
The action of an empirical correlation operator on the subspaces of vector Hermite polynomials of a given order is studied. The principal part of this operator is selected.
Ukr. Mat. Zh. - 1991. - 43, № 10. - pp. 1413–1418
Ukr. Mat. Zh. - 1990. - 42, № 12. - pp. 1681–1686