Asymptotic normality of integer compositions inside a rectangle

Details Asymptotic normality of integer compositions inside a rectangle Asymptotic normality of integer compositions inside a rectangle

2012-03-03

arxiv.org/abs/1203.0690v1

Mathematics

Combinatorics

7 pages, 6 figures

Scientific paper

Among all restricted integer compositions with at most $m$ parts, each of
which has size at most $l$, choose one uniformly at random. Which integer does
this composition represent? In the current note, we show that underlying
distribution is, for large $m$ and $l$, approximately normal with mean value
$\frac{ml}{2}$.

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