On Sevast'yanov's theorem

M. Denker and N. Kan

Statistics & Probability Letters, 2007, vol. 77, issue 3, 272-279

Abstract: In this paper we prove Poisson limit theorems for occupancy vectors (n[greater-or-equal, slanted]1), where form some dependent k-dimensional random vectors with values in the set of linearly independent vectors . Our method extends the result of Sevast'yanov in [Sevast'yanov, B. A., 1972. Poisson limit law for a scheme of sums of dependent random variables. Theory Probab. Appl. 17, 695-699] for the case k=2.

Keywords: Poisson; approximation; [psi]-Mixing; Gibbs; measure; U-Statistics (search for similar items in EconPapers)
Date: 2007
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