  In this paper planar STIT tesselations with weighted axis-parallel cutting
directions are considered. They are known also as weighted planar Mondrian
tesselations in the machine learning literature, where they are used in random
forest learning and kernel methods. Various second-order properties of such
random tessellations are derived, in particular, explicit formulas are obtained
for suitably adapted versions of the pair- and cross-correlation functions of
the length measure on the edge skeleton and the vertex point process. Also,
explicit formulas and the asymptotic behaviour of variances are discussed in
detail.
