Interpretation of simulated variables

I read in another topic of the forum that the policy functions are expresed as functions of yhat_t variables where

yhat_t = y_t - ybar

I would like to confirm if the moments of the simulated variables are also expresed as moments of the yhat_t variables or as moments of the y_t variables.

Thank you

Mauricio V

The moments are centered moments of y_t

Best

Michel