On the rate for uniform strong consistency of empirical distributions of independent nonidentically distributed multivariate random variables

R. S. Singh

Journal of Multivariate Analysis, 1976, vol. 6, issue 2, 338-342

Abstract: Let Xj = (X1j ,..., Xpj), j = 1,..., n be n independent random vectors. For x = (x1 ,..., xp) in Rp and for [alpha] in [0, 1], let Fj(x) = [alpha]I(X1j = L] = n; and, as n --> [infinity], Dn = 0((nlogn)1/2) with probability one.

Keywords: Random; vectors; rate; of; convergence; Borel-Cantelli; lemma; consistency (search for similar items in EconPapers)
Date: 1976
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