Marc Kesseb{\"o}hmer
Bounds for Poisson limit laws for sums of dependent random variables
Preprint series: Mathematica Gottingensis

MSC:

60F05 Central limit and other weak theorems

Abstract: We consider sequences of row--wise sums of triangular schemes of \( \{0,1\}
\)--valued dependent random variables. We introduce sufficient conditions
that this sequences obey a Poisson limit law. The conditions are stated in
terms of vanishing quantities which give rise to explicite bounds for the
quality of the approximation.

Keywords: Poisson limit law; weak convergence; sums of dependent random variables