# Inequalities and limit theorems for random allocations

István Fazekas; Alexey Chuprunov; József Túri

Annales UMCS, Mathematica (2011)

- Volume: 65, Issue: 1, page 69-85
- ISSN: 2083-7402

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topIstván Fazekas, Alexey Chuprunov, and József Túri. "Inequalities and limit theorems for random allocations." Annales UMCS, Mathematica 65.1 (2011): 69-85. <http://eudml.org/doc/267820>.

@article{IstvánFazekas2011,

abstract = {Random allocations of balls into boxes are considered. Properties of the number of boxes containing a fixed number of balls are studied. A moment inequality is obtained. A merge theorem with Poissonian accompanying laws is proved. It implies an almost sure limit theorem with a mixture of Poissonian laws as limiting distribution. Almost sure versions of the central limit theorem are obtained when the parameters are in the central domain.},

author = {István Fazekas, Alexey Chuprunov, József Túri},

journal = {Annales UMCS, Mathematica},

keywords = {Random allocation; moment inequality; merge theorem; almost sure limit theorem; random allocation},

language = {eng},

number = {1},

pages = {69-85},

title = {Inequalities and limit theorems for random allocations},

url = {http://eudml.org/doc/267820},

volume = {65},

year = {2011},

}

TY - JOUR

AU - István Fazekas

AU - Alexey Chuprunov

AU - József Túri

TI - Inequalities and limit theorems for random allocations

JO - Annales UMCS, Mathematica

PY - 2011

VL - 65

IS - 1

SP - 69

EP - 85

AB - Random allocations of balls into boxes are considered. Properties of the number of boxes containing a fixed number of balls are studied. A moment inequality is obtained. A merge theorem with Poissonian accompanying laws is proved. It implies an almost sure limit theorem with a mixture of Poissonian laws as limiting distribution. Almost sure versions of the central limit theorem are obtained when the parameters are in the central domain.

LA - eng

KW - Random allocation; moment inequality; merge theorem; almost sure limit theorem; random allocation

UR - http://eudml.org/doc/267820

ER -

## References

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