## How should rolling window of parameter estimates look like?

1

I am using Orstein-Uhlenbeck model to model inflation: $$dI_t=\theta(\mu-I_t)dt+\sigma dW_t$$. I have plotted rolling window estimates of all the parameters. However, I do not understand what to conclude from them. I know that this model assumes long-term mean and it would be nice to have convergence is estimates. I would appreciate it if you could help me with conclusions. Red is $$\sigma$$, pink is $$\mu$$ and blue is $$\theta$$.