SepTest - Tests for First-Order Separability in Spatio-Temporal Point Processes

Provides statistical tools for testing first-order separability in spatio-temporal point processes, that is, whether the spatio-temporal intensity function can be expressed as a product of spatial and temporal components. The package implements several hypothesis tests, including exact and asymptotic methods for Poisson and non-Poisson processes. Methods include global envelope tests, chi-squared-type statistics, and a novel Hilbert-Schmidt independence criterion (HSIC) test with block or pure permutations. Simulation studies and real-world examples, including the 2001 UK foot-and-mouth disease outbreak data, illustrate its utility. The package encompasses all simulation studies and applications presented in Ghorbani et al. (2021, 2025).