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Identification and estimation of dynamic random coefficient models

Wooyong Lee

arXiv 2 May 2025 · Econometrics

arXiv:2505.01600 · PDF · Extracted main text

Abstract

I study panel data linear models with predetermined regressors (such as lagged dependent variables) where coefficients are individual-specific, allowing for heterogeneity in the effects of the regressors on the dependent variable. I show that the model is not point-identified in a short panel context but rather partially identified, and I characterize the identified sets for the mean, variance, and CDF of the coefficient distribution. This characterization is general, accommodating discrete, continuous, and unbounded data, and it leads to computationally tractable estimation and inference procedures. I apply the method to study lifecycle earnings dynamics among U.S. households using the Panel Study of Income Dynamics (PSID) dataset. The results suggest substantial unobserved heterogeneity in earnings persistence, implying that households face varying levels of earnings risk which, in turn, contribute to heterogeneity in their consumption and savings behaviors.

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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
1Stoye, Jörg (2020) A simple, short, but never-empty confidence interval for partially identified parameters0.97112592%
2Guvenen, Fatih (2009) An empirical investigation of labor income processes0.97112392%
3Andrews, Donald WK and Shi, Xiaoxia (2017) Inference based on many conditional moment inequalities0.90215573%
4Blundell, Richard and Pistaferri, Luigi and Saporta-Eksten, Itay (2016) Consumption inequality and family labor supply0.84333100%
5Chamberlain, Gary (1993) Feedback in panel data models0.84333100%
6Chamberlain, Gary (2022) Feedback in panel data models0.84333100%
7Hall, Robert E and Mishkin, Frederic S (1982) The sensitivity of consumption to transitory income: Estimates from panel data on households0.84333100%
8Guvenen, Fatih (2007) Learning your earning: Are labor income shocks really very persistent?0.81142100%
9Andrews, Donald WK and Kwon, Soonwoo (2024) Misspecified moment inequality models: Inference and diagnostics0.7636267%
10Honoré, Bo E and Tamer, Elie (2006) Bounds on parameters in panel dynamic discrete choice models0.73732100%

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Cited by, within the corpus

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

Citing paperIntensityMentionsSections
1Back to Feedback Dynamics and Heterogeneity in Panel Data0.81142
2The Projection Solution to the Incidental Parameter Problem0.64422
3Heterogeneous Treatment Effects via Linear Dynamic Panel Data Models0.40511
4Moment Restrictions for Nonlinear Panel Data Models with Feedback0.40511