Infinite dimensional functional convergences in random balls model
Breton, Jean-Christophe1  ; Gobard, Renan1 
1 Institut de recherche mathématique de Rennes (IRMAR), UMR 6625, Université de Rennes 1, Campus de Beaulieu, 263 Avenue du Général Leclerc, 35042 Rennes, France
ESAIM: Probability and Statistics, Tome 19 (2015), pp. 782-793

We consider a weighted random ball model generated by a Poisson measure. The macroscopic behaviour of the weight amassed on this model by a configuration has recently received attention. In this paper, we complement the previous finite dimensional distribution fluctuation results and propose functional convergences of such functionals on the set of configurations.

Reçu le :
DOI : 10.1051/ps/2015016
Classification : 60F17, 60G60, 60G18, 60H05
Keywords: Self-similarity, generalized random fields, functional convergence, tightness, Poisson point process

Breton, Jean-Christophe 1 ; Gobard, Renan 1

1 Institut de recherche mathématique de Rennes (IRMAR), UMR 6625, Université de Rennes 1, Campus de Beaulieu, 263 Avenue du Général Leclerc, 35042 Rennes, France 
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     title = {Infinite dimensional functional convergences in random balls model},
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     pages = {782--793},
     year = {2015},
     publisher = {EDP Sciences},
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     doi = {10.1051/ps/2015016},
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Breton, Jean-Christophe; Gobard, Renan. Infinite dimensional functional convergences in random balls model. ESAIM: Probability and Statistics, Tome 19 (2015), pp. 782-793. doi: 10.1051/ps/2015016

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