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2016 Brillinger mixing of determinantal point processes and statistical applications
Christophe A. N. Biscio, Frédéric Lavancier
Electron. J. Statist. 10(1): 582-607 (2016). DOI: 10.1214/16-EJS1116

Abstract

Stationary determinantal point processes are proved to be Brillinger mixing. This property is an important step towards asymptotic statistics for these processes. As an important example, a central limit theorem for a wide class of functionals of determinantal point processes is established. This result yields in particular the asymptotic normality of the estimator of the intensity of a stationary determinantal point process and of the kernel estimator of its pair correlation.

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Christophe A. N. Biscio. Frédéric Lavancier. "Brillinger mixing of determinantal point processes and statistical applications." Electron. J. Statist. 10 (1) 582 - 607, 2016. https://doi.org/10.1214/16-EJS1116

Information

Received: 1 July 2015; Published: 2016
First available in Project Euclid: 4 March 2016

zbMATH: 06554158
MathSciNet: MR3471989
Digital Object Identifier: 10.1214/16-EJS1116

Rights: Copyright © 2016 The Institute of Mathematical Statistics and the Bernoulli Society

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Vol.10 • No. 1 • 2016
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