On the number of particles from a marked set of cells for an analogue of a general allocation scheme
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Aleksey N. Chuprunov
Abstract
In a general scheme of allocation of no more than n particles to N cells we prove limit theorems for the random variable ηn,N(K) which is the number of particles in a given set of K cells. The main result of the paper is Theorem 1. Limit distribution in this theorem depends on
Originally published in Diskretnaya Matematika (2023) 35, №2, 143–151 (in Russian).
References
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Artikel in diesem Heft
- Frontmatter
- On the number of particles from a marked set of cells for an analogue of a general allocation scheme
- Scaling of graphs with diameter constraint
- On the maximal tree in Galton–Watson forest with infinite variance of the offspring
- Short tests for contact circuits with similar-type weakly connected faults of contacts
- Large deviations of bisexual branching process in random environment
- Properties of critical branching random walks on the line under non-extinction condition
Artikel in diesem Heft
- Frontmatter
- On the number of particles from a marked set of cells for an analogue of a general allocation scheme
- Scaling of graphs with diameter constraint
- On the maximal tree in Galton–Watson forest with infinite variance of the offspring
- Short tests for contact circuits with similar-type weakly connected faults of contacts
- Large deviations of bisexual branching process in random environment
- Properties of critical branching random walks on the line under non-extinction condition
