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arxiv: 1701.03747 · v2 · pith:5FUAM6ESnew · submitted 2017-01-13 · 🧮 math.PR · math-ph· math.MP

Limit Theorems in Mallows Distance for Processes with Gibssian Dependence

classification 🧮 math.PR math-phmath.MP
keywords dependencedistancemallowsprocessesapplicationsassociatedconnectioncontext
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In this paper, we explore the connection between convergence in distribution and Mallows distance in the context of positively associated random variables. Our results extend some known invariance principles for sequences with FKG property. Applications for processes with Gibbssian dependence structures are included.

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