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Information Based Inference in Models with Set-Valued Predictions and Misspecification

Hiroaki Kaido, Francesca Molinari

arXiv 19 Jan 2024 · Econometrics · 1 citations (OpenAlex)

arXiv:2401.11046 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper proposes an information-based inference method for partially identified parameters in incomplete models that is valid both when the model is correctly specified and when it is misspecified. Key features of the method are: (i) it is based on minimizing a suitably defined Kullback-Leibler information criterion that accounts for incompleteness of the model and delivers a non-empty pseudo-true set; (ii) it is computationally tractable; (iii) its implementation is the same for both correctly and incorrectly specified models; (iv) it exploits all information provided by variation in discrete and continuous covariates; (v) it relies on Rao's score statistic, which is shown to be asymptotically pivotal.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Donald W. K. Andrews and Xiaoxia Shi (2013) Inference based on conditional moment inequalities1.000183100%
2Halbert White (1982) Maximum Likelihood Estimation of Misspecified Models1.00084100%
3Brendan Kline and Elie Tamer (2016) Bayesian inference in a class of partially identified models1.00083100%
4Chen, Xiaohong and Christensen, Timothy M. and Tamer, Elie (2018) Monte Carlo Confidence Sets for Identified Sets0.92018478%
5Arie Beresteanu and Ilya Molchanov and Francesca Molinari (2011) Sharp identification regions in models with convex moment predictions self0.8434475%
6Ilya Molchanov and Francesca Molinari (2018) Random Sets in Econometrics self0.8307357%
7Ye Luo and Kirill Ponomarev and Hai Wang (2025) Selecting Inequalities for Sharp Identification in Models with Set-Valued Predictions0.8229356%
8Li, Lixiong and Kédagni, Désiré and Mourifié, Ismaël (2024) Discordant relaxations of misspecified models0.81142100%
9R. Tyrrell Rockafellar and Roger J.-B. Wets (2005) Variational Analysis, Second Edition0.7375260%
10Whitney K. Newey (1994) The Asymptotic Variance of Semiparametric Estimators0.7374350%

Showing the top 10 of 50 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Universal Inference for Incomplete Discrete Choice Models0.73732
2The purpose of an estimator is what it does: Misspecification, estimands, and over-identification0.40511