Model and Second-Order Stereology

In the preceding chapters the approach was design-based, involving a bounded, nonrandom target set hit by a test probe equipped with a motion-invariant density. In the present chapter, however, the approach is model-based: the target is a random process \( Y \subset \mathbb{R}^d \) of geometric objects of dimension \(q \in \{0, 1, ..., d\} \) . For instance, \(Y \subset \mathbb{R}^3\) may represent a point, curve, surface, or volume process. Henceforth, “ \(Y \subset \mathbb{R}^d\) ” means that the process \(Y\) has realizations in \(\mathbb{R}^d\) .