Abstract
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.
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Dedicated to Professor Vygantas Paulauskas on the occasion of his 75th birthday
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Davydov, Y., Kaim, M. Absolute continuity and local limit theorems for homogeneous functionals of point processes. Lith Math J 59, 498–506 (2019). https://doi.org/10.1007/s10986-019-09460-x
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DOI: https://doi.org/10.1007/s10986-019-09460-x