Inequalities and limit theorems for random allocations

• Autorzy: Istvan Fazekas , Alexey Chuprunov , Jozsef Turi
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Random allocation; moment inequality; merge theorem; almost sure limit theorem

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2011
• Tom: 65
• Numer: 1

Daty

wydano

2011

online

2016-07-25

Twórcy

autor

Istvan Fazekas

autor

Alexey Chuprunov

autor

Jozsef Turi

Bibliografia

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Identyfikatory

DOI

10.17951/a.2011.65.1.69-85