Handling Sparse Non-negative Data in Finance

Fuente: arXiv
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Main Authors: Capponi, Agostino, Qu, Zhaonan
Format: Preprint
Published: 2025
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author Capponi, Agostino
Qu, Zhaonan
author_facet Capponi, Agostino
Qu, Zhaonan
contents We show that Poisson regression, though often recommended over log-linear regression for modeling count and other non-negative variables in finance and economics, can be far from optimal when heteroskedasticity and sparsity -- two common features of such data -- are both present. We propose a general class of moment estimators, encompassing Poisson regression, that balances the bias-variance trade-off under these conditions. A simple cross-validation procedure selects the optimal estimator. Numerical simulations and applications to corporate finance data reveal that the best choice varies substantially across settings and often departs from Poisson regression, underscoring the need for a more flexible estimation framework.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01478
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Handling Sparse Non-negative Data in Finance
Capponi, Agostino
Qu, Zhaonan
Econometrics
Methodology
We show that Poisson regression, though often recommended over log-linear regression for modeling count and other non-negative variables in finance and economics, can be far from optimal when heteroskedasticity and sparsity -- two common features of such data -- are both present. We propose a general class of moment estimators, encompassing Poisson regression, that balances the bias-variance trade-off under these conditions. A simple cross-validation procedure selects the optimal estimator. Numerical simulations and applications to corporate finance data reveal that the best choice varies substantially across settings and often departs from Poisson regression, underscoring the need for a more flexible estimation framework.
title Handling Sparse Non-negative Data in Finance
topic Econometrics
Methodology
url https://arxiv.org/abs/2509.01478