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Binary Outcome Models with Extreme Covariates: Estimation and Prediction

Laura Liu, Yulong Wang

arXiv 22 Feb 2025 · Econometrics

arXiv:2502.16041 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper presents a novel semiparametric method to study the effects of extreme events on binary outcomes and subsequently forecast future outcomes. Our approach, based on Bayes' theorem and regularly varying (RV) functions, facilitates a Pareto approximation in the tail without imposing parametric assumptions beyond the tail. We analyze cross-sectional as well as static and dynamic panel data models, incorporate additional covariates, and accommodate the unobserved unit-specific tail thickness and RV functions in panel data. We establish consistency and asymptotic normality of our tail estimator, and show that our objective function converges to that of a panel Logit regression on tail observations with the log extreme covariate as a regressor, thereby simplifying implementation. The empirical application assesses whether small banks become riskier when local housing prices sharply decline, a crucial channel in the 2007--2008 financial crisis.

Citation extraction

48
references
90
in-text mentions
48
distinct cited
1
self-citations
17,851
main-text words

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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
1Fernández-Val and Weidner (2018) Fixed effects estimation of large-T panel data models1.00064100%
2Stammann, Heiss, and McFadden (2016) Estimating fixed effects Logit models with large panel data1.00054100%
3Gabaix (2009) Power laws in economics and finance0.92843100%
4Wang and Tsai (2009) Tail index regression0.87472100%
5Honoré and Kyriazidou (2000) Panel data discrete choice models with lagged dependent variables0.84333100%
6Gabaix (2016) Power laws in economics: An introduction0.81142100%
7de Haan and Ferreira (2006) Extreme Value Theory: An Introduction0.81142100%
8Liu, Moon, and Schorfheide (2023) Forecasting with a panel Tobit model0.81142100%
9Clauset, Shalizi, and Newman (2009) Power-law distributions in empirical data0.73732100%
10Hill (1975) A simple general approach to inference about the tail of a distribution0.73732100%

Showing the top 10 of 48 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
1At-Risk Transformation for U.S. Recession Prediction $ $0.40511
2A Simple and Powerful Diagnostic Test for Binary Choice Models0.40511