Convergence of Point Processes with Weakly Dependent Points
نویسندگان
چکیده
منابع مشابه
Convergence of Point Processes with Weakly Dependent Points
For each n ≥ 1, let {Xj,n}1≤j≤n be a sequence of strictly stationary random variables. In this article, we give some asymptotic weak dependence conditions for the convergence in distribution of the point process Nn = ∑n j=1 δXj,n to an infinitely divisible point process. From the point process convergence, we obtain the convergence in distribution of the partial sum sequence Sn = ∑n j=1 Xj,n to...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2008
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-008-0176-4