Abstract
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 language | English (US) |
---|---|
Pages (from-to) | 272-279 |
Number of pages | 8 |
Journal | Statistics and Probability Letters |
Volume | 77 |
Issue number | 3 |
DOIs | |
State | Published - Feb 1 2007 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty