Sims, Eric R. - In: DSGE models in macroeconomics : estimation, evaluation, …, (pp. 81-135). 2012
A state space representation of a linearized DSGE model implies a VAR in terms of observable variables. The model is said be non-invertible if there exists no linear rotation of the VAR innovations which can recover the economic shocks. Non-invertibility arises when the observed variables fail...