  In this article, we present a precise deviation formula for the intersection
of two Orlicz balls generated by Orlicz functions $V$ and $W$. Additionally, we
establish a (quantitative) central limit theorem in the critical case and a
strong law of large numbers for the "$W$-norm" of the uniform distribution on
$\mathbb{B}^{(n,V)}$. Our techniques also enable us to derive a precise formula
for the thin-shell concentration of uniformly distributed random vectors in
high-dimensional Orlicz balls. In our approach we establish an
Edgeworth-expansion using methods from harmonic analysis together with an
exponential change of measure argument.
