“Characteristic Statistical Problems of Stochastic Geometry”, G. S. Watson1977-08 ()⁠:

The Buffon needle problem and some variations are used to illustrate classical statistical methods of estimation and to lead into, and contrast with, the problems which arise when a sample of some random structure is the data.

The flavor of these problems is conveyed largely by discussion of the simplest, and most described, case, that of point processes.