On samples of independent random vectors in spaces of infinitely increasing dimension

  • M. Ya Ruzhilo
  • V. I. Stepakhno

Abstract

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.
Published
25.12.1998
How to Cite
RuzhiloM. Y., and StepakhnoV. I. “On Samples of Independent Random Vectors in Spaces of Infinitely Increasing Dimension”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 12, Dec. 1998, pp. 1706–1711, https://umj.imath.kiev.ua/index.php/umj/article/view/4791.
Section
Short communications