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arXiv · 1903.04116

Normal approximation for associated point processes via Stein's method with applications to determinantal point processes

Nathakhun Wiroonsri
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Abstract

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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Nathakhun Wiroonsri. 2020-04-02. Normal approximation for associated point processes via Stein's method with applications to determinantal point processes. https://doi.org/10.1016/j.jmaa.2019.123396

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