A concentration inequality for inhomogeneous Neymann-Scott point processes

Creators: Coeurjolly, Jean-François; Reynaud-Bouret, Patricia

Others:: Université du Québec à Montréal = University of Québec in Montréal (UQAM); Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA); ANR-15-IDEX-0001,UCA JEDI,Idex UCA JEDI(2015); ANR-19-P3IA-0002,3IA@cote d'azur,3IA Côte d'Azur(2019)

Description

In this note, we prove some non-asymptotic concentration inequalities for functionals, called innovations, of inhomogeneous Neymann-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.

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A concentration inequality for inhomogeneous Neymann-Scott point processes

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