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A bound of the β-mixing coefficient for point processes in terms of their intensity functions

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  • Poinas, Arnaud

Abstract

We prove a general inequality on β-mixing coefficients of point processes depending uniquely on their nth order intensity functions. We apply this inequality in the case of determinantal point processes and show that the rate of decay of the β-mixing coefficients of a wide class of DPPs is optimal.

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  • Poinas, Arnaud, 2019. "A bound of the β-mixing coefficient for point processes in terms of their intensity functions," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 88-93.
    • Handle: RePEc:eee:stapro:v:148:y:2019:i:c:p:88-93
    DOI: 10.1016/j.spl.2018.12.007
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    References listed on IDEAS

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    1. Rasmus Waagepetersen & Yongtao Guan, 2009. "Two‐step estimation for inhomogeneous spatial point processes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(3), pages 685-702, June.
    2. Michaela Prokešová & Eva Jensen, 2013. "Asymptotic Palm likelihood theory for stationary point processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(2), pages 387-412, April.
    3. Frédéric Lavancier & Jesper Møller & Ege Rubak, 2015. "Determinantal point process models and statistical inference," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 77(4), pages 853-877, September.
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    Cited by:

    1. Fan, Shilei & Liao, Lingmin & Qiu, Yanqi, 2022. "Stationary determinantal processes: ψ-mixing property and correlation dimensions," Stochastic Processes and their Applications, Elsevier, vol. 151(C), pages 1-22.

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