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Closed-form estimation and inference for panels with attrition and refreshment samples

Grigory Franguridi, Lidia Kosenkova

arXiv 15 Oct 2024 · Econometrics · publishedEconometrics Journal (2026)

arXiv:2410.11263 · PDF · DOI · OpenAlex · Extracted main text

Abstract

It has long been established that, if a panel dataset suffers from attrition, auxiliary (refreshment) sampling restores full identification under additional assumptions that still allow for nontrivial attrition mechanisms. Such identification results rely on implausible assumptions about the attrition process or lead to theoretically and computationally challenging estimation procedures. We propose an alternative identifying assumption that, despite its nonparametric nature, suggests a simple estimation algorithm based on a transformation of the empirical cumulative distribution function of the data. This estimation procedure requires neither tuning parameters nor optimization in the first step, i.e., has a closed form. We prove that our estimator is consistent and asymptotically normal and demonstrate its good performance in simulations. We provide an empirical illustration with income data from the Understanding America Study.

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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
1Hirano, Keisuke and Imbens, Guido W and Ridder, Geert and Rubin, Don… (2001) Combining Panel Data Sets with Attrition and Refreshment Samples0.87452100%
franguridi2024robustunmatched citation key franguridi2024robust0.64422100%
3Hoonhout, Pierre and Ridder, Geert (2019) Nonignorable attrition in multi-period panels with refreshment samples0.64422100%
4Newey, Whitney K and McFadden, Daniel (1994) Large sample estimation and hypothesis testing0.58531100%
5Tauchen, George (1985) Diagnostic testing and evaluation of maximum likelihood models0.5112250%
6Bhattacharya, Debopam (2008) Inference in panel data models under attrition caused by unobservables0.40511100%
7Callaway, Brantly and Li, Tong (2019) Quantile treatment effects in difference in differences models with panel data0.40511100%
8Chernozhukov, Victor and Fernandez-Val, Ivan and Galichon, Alfred (2009) Improving point and interval estimators of monotone functions by rearrangement0.40511100%
9d’Haultfoeuille, Xavier (2010) A new instrumental method for dealing with endogenous selection0.40511100%
10Deng, Yiting and Hillygus, D Sunshine and Reiter, Jerome P and Si, Y… (2013) Handling Attrition in Longitudinal Studies: The Case for Refreshment Samples0.40511100%

Showing the top 10 of 25 scored citations. 1 of these could not be matched to a bibliography entry, so only the citation key is shown.