  In this paper, we address the random sampling problem for the class of Mellin
band-limited functions BT which is concentrated on a bounded cube. It is
established that any function in BT can be approximated by an element in a
finite-dimensional subspace of BT. Utilizing the notion of covering number and
Bernstein's inequality to the sum of independent random variables, we prove
that the random sampling inequality holds with an overwhelming probability
provided the sampling size is large enough.
