Finite mixture models with one exclusion restriction

摘要

This paper characterizes the identified set for finite mixture models with one exclusion restriction on the data-generating process. It provides necessary and sufficient conditions on the observed data for point identification and for when the identified set has measure zero. The results are illustrated in a simulation study and with data from a randomized controlled trial on chemotherapy for colon cancer as well as with data from an observational study used to estimate returns to schooling.