All three processes were derived from the same homogeneous Thomas process but different types of inhomogeneity were used.
The simplest example of a shot noise Cox process is the so-called modified Thomas process (Thomas, 1949) (in the sequel we will call it shortly a Thomas process).
Inhomogeneous Thomas process with log-linear intensity function (Waagepetersen, 2007): Let X [subset or equal to] [R.
theta]](u - v) is equal to the g-function of the homogeneous Thomas process
For the inhomogeneous Thomas process with log-linear intensity function the (vector) first order estimation equation (Eq.
This is a realization of the inhomogeneous Thomas process model from the preceding chapter with [beta] = ([[beta].
Let us consider the inhomogeneous Thomas process with [zeta](dr, dw) = [f.