An example of the stimulus related (Y) and unrelated (X) covariates (A, top) as well as the accompanying conditional intensity function (B, middle) for f = 4, exp(α) = 10, β = γ = ϕ = 1. The stimulus covariate represents the onset of some stimulus while the unrelated covariate represents some background intrinsic dynamics. A random phase offset is introduced as the unrelated covariate should not be time synced to the stimulus onset. A raster plot (C, bottom) shows multiple trials of simulated data using this CIF. The top half of the trials (blue) are specifically for ϕ = 1. The bottom half of the trials (black) simulate multiple recordings over time as ϕ varies randomly from trial to trial.