  We characterize the statistics of nearest-neighbor and contact distance
distributions for Thomas cluster process (TCP), which is a special case of
Poisson cluster process. In particular, we derive the cumulative distribution
function (CDF) of the distance to the nearest point of TCP from a reference
point for three different cases: (i) reference point is not a part of the point
process, (ii) it is chosen uniformly at random from the TCP, and (iii) it is a
randomly chosen point from a cluster chosen uniformly at random from the TCP.
While the first corresponds to the contact distance distribution, the other two
provide two different viewpoints for the nearest-neighbor distance
distribution.
