Figure 2.

Figure 2.

The regression slopes r_k at different time lags k. The blue curve represents actual data, whereas the red curve is the fit using the estimated m^ based on Equation 2. The value of the estimated m^ is shown alongside the results for stationarity tests—datasets that pass all the tests are denoted as Clear while those that fail at least one are indicated by the first test they failed. For relatively short datasets, even a stationary branching process can test positive for H_poisson and H_{MR_invalid}, as shown in Extended Data Figure 2-1.