Eichler, Michael, Empirical Spectral Processes and Their Applications to Stationary Point Processes, Annals of applied probability , 5(4), 1995, pp. 1161-1176
We consider empirical spectral processes indexed by classes of functions for the case of stationary point processes. Conditions for the measurability and equicontinuity of these processes and a weak convergence result are established. The results can be applied to the spectral analysis of point processes. In particular, we discuss the application to parametric and nonparametric spectral density estimation.