Table 1.
Comparison of investigated random-walk processesa
| Name | Type | vdrift* | vnoise* | Scaling property | Distribution shape cv≈0.6 & γ1≈2cv |
|---|---|---|---|---|---|
| Wiener | Gaussian diffusion |  |  | — | — |
| Modified Wiener | Gaussian diffusion |  |  | ✓ | — |
| Balanced Poisson | Infinite birth-death | vE − vI | vE + vI | ✓ | — |
| Ornstein-Uhlenbeck | Gaussian diffusion |  |  | — | — |
| Modified OU | Gaussian diffusion |  |  | ✓ | — |
| Generalized Ehrenfest | Finite birth-death | v+ |  | ✓ | ✓ |
| Continuous Generalized Ehrenfest | Gaussian diffusion | v+ |  | ✓ | — |
↵aNormalized moments remain constant with input and a scaling property is obtained (in the drift-dominated regimen), when accumulation rate vdrift* and dispersion rate vnoise* increase with input in the same proportions. The experimentally observed skewness is uniquely expressed by a generalized Ehrenfest process.