On Sevast'yanov's theorem

M. Denker, N. Kan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper we prove Poisson limit theorems for occupancy vectors Sn = X1 n + ⋯ + Xnn (n ≥ 1), where { Xln : l = 1, ..., n } form some dependent k-dimensional random vectors with values in the set of linearly independent vectors e1, ..., ek ∈ Rk. 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.

Original languageEnglish (US)
Pages (from-to)272-279
Number of pages8
JournalStatistics and Probability Letters
Issue number3
StatePublished - Feb 1 2007

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


Dive into the research topics of 'On Sevast'yanov's theorem'. Together they form a unique fingerprint.

Cite this