A concentration inequality for inhomogeneous Neymann–Scott point processes

Publication date: Available online 21 December 2018Source: Statistics & Probability LettersAuthor(s): Jean-François Coeurjolly, Patricia Reynaud-BouretAbstractIn 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.

Source: Statistics and Probability Letters - December 24, 2018 Category: Statistics Source Type: research