A Limit Theorem for Random Allocations

Istvan Fazekas, Jozsef Turi


A limit theorem is presented for random allocations.
For a fixed period we allocate $m$ balls into $N$ boxes.
We repeat the experiment throughout $n$ periods.
Let $p_q$ denote the probability that we do not place more than $q$ balls  into any of the $N$ boxes during any of the $n$ repetitions.
The limit of $p_q$ is determined when $m,n,N \to \infty$.

Full Text:


DOI: https://doi.org/10.5539/jmr.v4n1p17

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.