A concentration inequality for inhomogeneous Neyman–Scott point processes

Jean-François Coeurjolly and Patricia Reynaud-Bouret

Statistics & Probability Letters, 2019, vol. 148, issue C, 30-34

Abstract: In this note, we prove some non-asymptotic concentration inequalities for functionals, called innovations, of inhomogeneous Neyman–Scott point processes, a particular class of spatial point process models. Innovation is a functional built from the counting measure minus its integral compensator. The result is then applied to obtain almost sure rate of convergence for such functionals.

Keywords: Spatial point processes; Almost sure convergence rate; Deviation inequalities; Campbell’s Theorem (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spl.2018.12.003

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