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Normal approximation for associated point processes via Stein's method with applications to determinantal point processes
Nathakhun Wiroonsri · 2019-03-11 · via math.PR updates on arXiv.org

We use Stein's method to provide non asymptotic $L^1$ bounds to the normal for functionals of associated point processes. As for supporting tools, we use the connection between association and $α$-mixing properties that was recently uncovered by [PDL17]. We apply our main results to determinantal point processes which are known to be negatively associated. A potential application to point processes in the Laguerre-Gaussian family is also presented.

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