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Uniform Inference on Quantile Effects under Network Interference

Zequn Jin, Gaoqian Xu, Zixin Yang, Zhengyu Zhang

arXiv 23 Aug 2026 · Econometrics

arXiv:2608.22286 · PDF · Extracted main text

Abstract

This paper studies quantile treatment and spillover effects in network experiments. Average spillover effects reveal how treating a unit's neighbors affects its outcome on average, but mask the heterogeneity of these effects across the outcome distribution. We define structural quantile effects that compare outcome quantiles between exposure states, characterizing how own treatment and exposure to treated neighbors affect different parts of the outcome distribution. Building on \citet{leung2020treatment}, we first establish the weak convergence of the estimated quantile-effect process under conditions requiring the stabilization of the degree distribution and the network-dependent covariance structure. Our main contribution is to propose uniform confidence bands (UCBs) based on Gaussian approximations conditional on the realized network, avoiding these stabilization requirements. The proposed method is evaluated through extensive simulation studies and an empirical application to a randomized savings-account experiment in Nepal \citep{prina2015banking}.

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62
references
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in-text mentions
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distinct cited
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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
1Leung, Michael P (2020) Treatment and spillover effects under network interference1.000145100%
2Prina, Silvia (2015) Banking the poor via savings accounts: Evidence from a field experiment0.92844100%
3Chernozhukov, Victor and Chetverikov, Denis and Kato, Kengo (2014) GAUSSIAN APPROXIMATION OF SUPREMA OF EMPIRICAL PROCESSES0.8434375%
4Chernozhukov, Victor and Chetverikov, Denis and Kato, Kengo (2013) Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors0.8435360%
5Chernozhukov, Victor and Hansen, Christian (2005) An IV model of quantile treatment effects0.81142100%
6Leung, Michael P (2022) Causal inference under approximate neighborhood interference0.81142100%
7Manski, Charles F (2013) Identification of treatment response with social interactions0.81142100%
8Angrist, Joshua and Chernozhukov, Victor and Fernández-Val, Iván (2006) Quantile regression under misspecification, with an application to the US wage structure0.7373367%
9Aronow, Peter M and Samii, Cyrus (2017) Estimating average causal effects under general interference, with application to a social network experiment0.73732100%
10Carter, Michael and Laajaj, Rachid and Yang, Dean (2021) Subsidies and the African Green Revolution: direct effects and social network spillovers of randomized input subsidies in Mozamb…0.73732100%

Showing the top 10 of 62 scored citations.