Business cycles may be defined or measured by parametrizing detrending
filters to maximize the ability of a business-cycle model to match th
e moments of the remaining cycles. Thus a theory can be used to guide
cycle measurement. We present two applications to U.S. postwar data. I
n the first application, the cycles are measured with a standard, real
-business-cycle model. In the second, they are measured using informat
ion on capacity utilization and unemployment rates. Simulation methods
are used to describe the properties of the GMM estimators and to allo
w exact inference.