### Alternate models

Writing down the change-point model correctly now, starting with the simulation.

**Done.**Implemented in sde_likelihood.RImplementing Neyman-Pearson comparisons for all three models.

#### Linearizing directly from the saddle node model

Dynamics:

Slope (alpha) at equilibrium comes from the derivative:

is the slope evaluated at n equal to equilbrium (which is the root of some messy cubic).