Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays
Raluca M Balan, University of Ottawa
Sana Louhichi, Universite Paris-sud
Abstract
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.
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