Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays
Raluca M. Balan, Sana Louhichi · Electronic Communications in Probability · 2010
In this article, we consider a stationary array of random variables (which satisfy some asymptotic independence conditions), and the corresponding sequence of point processes. Our main result identifies some explicit conditions for the convergence of the sequence of point processes in terms of the probabilistic behavior of the variables in the array.