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Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays

   
@article{ECP1563,
	author = {Raluca Balan and Sana Louhichi},
	title = {Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {15},
	year = {2010},
	keywords = {infinite divisibility, point process, asymptotic independence, weak convergence, extremal index},
	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.},
	pages = {no. 39, 428-441},
	issn = {1083-589X},
	doi = {10.1214/ECP.v15-1563},    
        url = {http://ecp.ejpecp.org/article/view/1563}}