@article {IOPORT.05761808,
    author       = {Brennan, Charlotte Alix and Knopfmacher, Arnold},
    title        = {The distribution of ascents of size $d$ or more in compositions.},
    year         = {2009},
    journal      = {Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]},
    volume       = {11},
    number       = {1},
    issn         = {1365-8050},
    pages        = {1-10, electronic only},
    publisher    = {Maison de l'Informatique et des Math\'ematiques Discr\`etes, MIMD, Paris},
    abstract     = {Summary: A composition of a positive integer $n$ is a finite sequence of positive integers $a_{1}, a_{2}, \dots, a_{k}$ such that $a_{1}+a_{2}+ \dots +a_{k}=n$. Let $d$ be a fixed nonnegative integer. We say that we have an ascent of size $d$ or more if $a_{i+1} \geq a_{i}+d$. We determine the mean, variance and limiting distribution of the number of ascents of size $d$ or more in the set of compositions of $n$. We also study the average size of the greatest ascent over all compositions of $n$.},
    identifier   = {05761808},
}