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

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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. 
@article{SEMR_2017_14_a52,
     author = {M. G. Chebunin},
     title = {Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1289--1298},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a52/}
}
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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/