Geodesic
Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1289-1298.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study a vector process of a number of urns with fixed quantities of balls in an infinite urn scheme. We assume that probabilities of entering an urn change regularly with exponent minus one. We prove a multidimensional functional central limit theorem for this process.
Keywords: infinite urn scheme; relative compactness; slow variation; functional central limit theorem. 
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M. G. Chebunin. Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1289-1298. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a52/

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