We develop a sufficient dimension reduction paradigm for inhomogeneous spatial point processes driven by a Gaussian random fields. Specifically, we introduce the notion of the kth-order Central Intensity Subspace. We show that a Central Subspace (Cook, 1998) can be defined as the combination of...

In geographical epidemiology, disease counts are typically available in discrete spatial units and at discrete time-points. For example, surveillance data on infectious diseases usually consists of weekly counts of new infections in pre-defined geographical areas. Similarly, but on a different...

This article presents a new framework for the impact evaluation studies of programs that aim to increase efficiency and productivity of firms. Likelihood ratio statistics support a spatial autoregressive stochastic production model that estimates the technical efficiencies of matched subsamples...