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 Electronic Communications in Probability > Vol. 15(2010) > Paper 39 open journal systems 


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.


Full text: PDF

Pages: 428-441

Published on: September 30, 2010
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Electronic Communications in Probability. ISSN: 1083-589X