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Partial Identification of Finite Mixtures in Econometric Models

Henry, Marc; Kitamura, Yuichi; Salanie, Bernard

We consider partial identification of finite mixture models in the presence of an observable source of variation in the mixture weights that leaves component distributions unchanged, as is the case in large classes of econometric models. We first show that when the number J of component distributions is known a priori, the family of mixture models compatible with the data is a subset of a J(J1)-dimensional space. When the outcome variable is continuous, this subset is defined by linear constraints, which we characterize exactly. Our identifying assumption has testable implications, which we spell out for J=2. We also extend our results to the case when the analyst does not know the true number of component distributions and to models with discrete outcomes. Keywords. Partial identification, finite mixture models. JEL classification. C24.

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Title
Quantitative Economics
DOI
https://doi.org/10.3982/QE170

More About This Work

Academic Units
Economics
Published Here
March 10, 2015
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