Light curves generated using the MA process and the same random seed, but with differing process parameters. Top panels: Light curve segment (blue line) and innovations R(n)=𝒰^α (gray points) for different values of α. Bottom panel: Stacked, shifted, and normalized flares, defined as an isolated peak above the 80% flux percentile (gray dots) in the light curve. The black line illustrates the impulse used in the light curve generation, and the blue shows the first component of a PCA of the data.