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Standard Errors for Calibrated Parameters

Matthew D. Cocci, Mikkel Plagborg-Møller

arXiv 16 Sep 2021 · Econometrics · publishedThe Review of Economic Studies (2024) · 6 citations (OpenAlex)

arXiv:2109.08109 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Calibration, the practice of choosing the parameters of a structural model to match certain empirical moments, can be viewed as minimum distance estimation. Existing standard error formulas for such estimators require a consistent estimate of the correlation structure of the empirical moments, which is often unavailable in practice. Instead, the variances of the individual empirical moments are usually readily estimable. Using only these variances, we derive conservative standard errors and confidence intervals for the structural parameters that are valid even under the worst-case correlation structure. In the over-identified case, we show that the moment weighting scheme that minimizes the worst-case estimator variance amounts to a moment selection problem with a simple solution. Finally, we develop tests of over-identifying or parameter restrictions. We apply our methods empirically to a model of menu cost pricing for multi-product firms and to a heterogeneous agent New Keynesian model.

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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
1Auclert, A., Bardóczy, B., Rognlie, M., & Straub, L (2021) Using the Sequence-Space Jacobian to Solve and Estimate Heterogeneous-Agent Models0.874132100%
2Kydland, F. E. & Prescott, E. C (1996) The Computational Experiment: An Econometric Tool0.87452100%
3Alvarez, F. & Lippi, F (2014) Price Setting With Menu Cost for Multiproduct Firms0.86011364%
4Newey, W. K. & McFadden, D. L (1994) Large Sample Estimation and Hypothesis Testing0.8229356%
5Székely, G. J. & Bakirov, N. K (2003) Extremal probabilities for Gaussian quadratic forms0.7373367%
6McKay, A., Nakamura, E., & Steinsson, J (2016) The Power of Forward Guidance Revisited0.73732100%
7Chang, M., Chen, X., & Schorfheide, F (2023) Heterogeneity and Aggregate Fluctuations0.69391100%
8Miranda-Agrippino, S. & Ricco, G (2021) The Transmission of Monetary Policy Shocks0.69351100%
9Hahn, J., Kuersteiner, G., & Mazzocco, M (2020) Estimation with Aggregate Shocks0.64422100%
10Imbens, G. W. & Lancaster, T (1994) Combining Micro and Macro Data in Microeconometric Models0.64422100%

Showing the top 10 of 26 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
1Bounds for Standard Errors in Combined Data1.000195
2Efficient Online Estimation of Causal Effects by Deciding What to Observe0.40511
3Mixed LR-$C()$-type tests for irregular hypotheses, general criterion functions and misspecified models0.40511
4Choosing What to Calibrate and What to Estimate in Structural Models0.40511