On samples of independent random vectors in spaces of infinitely increasing dimension |
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Authors: | V I Stepakhno M Ya Ruzhilo |
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Institution: | (1) National Agricultural University, Kiev |
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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
nλ = x ∈ X
n: ρ(x) ≤ λn, and the mutual location of pairs of vectors.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 12, pp. 1706–1711, December, 1998. |
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Keywords: | |
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