On the waiting times to repeated hits of cells by particles for the polynomial allocation scheme
- Authors
- Type
- Published Article
- Journal
- Discrete Mathematics and Applications
- Publisher
- De Gruyter
- Publication Date
- Dec 11, 2020
- Volume
- 30
- Issue
- 6
- Pages
- 409–415
- Identifiers
- DOI: 10.1515/dma-2020-0037
- Source
- De Gruyter
- Keywords
- License
- Yellow
Abstract
We consider random polynomial allocations of particles over N cells. Let τk, k ≥ 1, be the minimal number of trials when k particles hit the occupied cells. For the case N → ∞ the limit distribution of the random variable τ k / N $\tau_k/\sqrt{N}$is found. An example of application of τk is given.
