Article

    Ufa Mathematical Journal
    Volume 8, Number 2, pp. 14-21

    On the probability of the event: in $n$ generalized allocation schemes the volume of each cell does not exceed $r$.


    Afonina A.I., Chuprunov A.N., Kayumov I.R.

    DOI:10.13108/2016-8-2-14

    Download PDF
    Article on MathNet

    Abstact


    We consider $n$ identical generalized schemes of allocating particles in cells. We study the probability of the event: for each generalized allocation scheme, there are at most $r$ particles in each cell, where $r$ is a given number. We obtain an asymptotic estimate for this probability and we consider the application of the obtained results to an antinoise coding.