Methodological simulation demonstrates parameter inference in moment-inequality models, highlighting practical confidence interval construction for partially identified data.
In this article, we present two commands— ccscc and sccintreg —that conduct parameter inference in moment-inequality models, which are defined by inequality moment conditions. Such models have gained popularity in the economics literature because of the flexibility they offer. Examples include missing- data models with nonrandom missingness and game-theoretic models with multiple equilibriums. Parameters in such models often cannot be consistently estimated. Nevertheless, valid confidence intervals can be constructed by inverting a hypothesis test for the compatibility of a parameter value with the model. The ccscc command implements the computationally easy tests proposed by Cox and Shi (2023, Review of Economic Studies 90: 201-228). The sccintreg command builds on ccscc to compute marginal confidence intervals for each parameter in an interval- outcome linear regression model. We demonstrate the use of our commands in two simulation examples.
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Gong et al. (2026) studied this question.
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