Discordant relaxations of misspecified models

  title={Discordant relaxations of misspecified models},
  author={Lixiong Li and D'esir'e K'edagni and Ismael Mourifi'e},
. In many set identified models, it is difficult to obtain a tractable characterization of the identified set. Therefore, empirical works often construct confidence region based on an outer set of the identified set. Because an outer set is always a superset of the identified set, this practice is often viewed as conservative yet valid. However, this paper shows that, when the model is refuted by the data, a nonempty outer set could deliver conflicting results with another outer set derived from the… 

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