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Статья
2017

On maximal quantity of particles of one color in analogs of multicolor urn schemes


A. N. ChuprunovA. N. Chuprunov, G. AlsaiedG. Alsaied, M. AlkhuzaniM. Alkhuzani
Русская математика
https://doi.org/10.3103/S1066369X17070118
Abstract / Full Text

We deal with analogs of multicolor urn schemes such that the number of particles is not more than a given number. We introduce conditions which provide the convergence of random variables which is the maximal number of taken particles of the same color to a random variable that has values zero and one. We prove this convergence in the case when a number of taken particles is not more than a fixed number and number of colors converges to infinity. We also consider the case when the number of taken particles converges to infinity.

Author information
  • Kazan Federal University, ul. Kremlyovskaya 18, Kazan, 420008, RussiaA. N. Chuprunov, G. Alsaied & M. Alkhuzani
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