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2010 Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays
Raluca Balan, Sana Louhichi
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Electron. Commun. Probab. 15: 428-441 (2010). DOI: 10.1214/ECP.v15-1563

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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Raluca Balan. Sana Louhichi. "Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays." Electron. Commun. Probab. 15 428 - 441, 2010. https://doi.org/10.1214/ECP.v15-1563

Information

Accepted: 30 September 2010; Published: 2010
First available in Project Euclid: 6 June 2016

zbMATH: 1225.60081
MathSciNet: MR2726089
Digital Object Identifier: 10.1214/ECP.v15-1563

Subjects:
Primary: 60E07
Secondary: 60G10 , 60G55

Keywords: Asymptotic independence , extremal index , Infinite divisibility , point process , weak convergence

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