We study the absolute continuity and local limit theorems for homogeneous functionals defined on configurations of point processes (p.p.s). For empirical p.p.s, we show that under mild hypotheses the distribution of such a functional has a density. Moreover, we present results on convergence in total variation of this distribution to some limit.

Original languageEnglish
Pages (from-to)498-506
Number of pages9
JournalLithuanian Mathematical Journal
Volume59
Issue number4
Early online date11 Nov 2019
DOIs
StatePublished - 2019

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • absolute continuity, convergence in total variation, empirical point processes, local limit theorems

ID: 49897446