2000 character limit reached
Asymptotic normality of integer compositions inside a rectangle (1203.0690v1)
Published 3 Mar 2012 in math.CO, cs.DM, and math.PR
Abstract: 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 $\frac{ml}{2}$.