A concentration inequality for inhomogeneous Neymann-Scott point processes - Archive ouverte HAL Access content directly
Journal Articles Statistics and Probability Letters Year : 2019

A concentration inequality for inhomogeneous Neymann-Scott point processes

Abstract

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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Dates and versions

hal-02456693 , version 1 (27-01-2020)

Identifiers

  • HAL Id : hal-02456693 , version 1

Cite

Jean-François Coeurjolly, Patricia Reynaud-Bouret. A concentration inequality for inhomogeneous Neymann-Scott point processes. Statistics and Probability Letters, 2019, 148. ⟨hal-02456693⟩
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