Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1154865 | Statistics & Probability Letters | 2007 | 8 Pages |
Abstract
In this paper we prove Poisson limit theorems for occupancy vectors Sn=X1n+â¯+Xnn (n⩾1), where {Xln:l=1,â¦,n} form some dependent k-dimensional random vectors with values in the set of linearly independent vectors e1,â¦,ekâRk. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
M. Denker, N. Kan,