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A Unified Framework for Estimation of High-dimensional Conditional Factor Models

Qihui Chen

arXiv 1 Sep 2022 · Econometrics · 7 citations (OpenAlex)

arXiv:2209.00391 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper develops a general framework for estimation of high-dimensional conditional factor models via nuclear norm regularization. We establish large sample properties of the estimators, and provide an efficient computing algorithm for finding the estimators as well as a cross validation procedure for choosing the regularization parameter. The general framework allows us to estimate a variety of conditional factor models in a unified way and quickly deliver new asymptotic results. We apply the method to analyze the cross section of individual US stock returns, and find that imposing homogeneity may improve the model's out-of-sample predictability.

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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
1Gagliardini, P., E. Ossola, and O. Scaillet (2016) Time-varying risk premium in large cross‐sectional equity data sets1.00063100%
2Chen, Q., N. Roussanov, and X. Wang (2021) Semiparametric Conditional Factor Models in Asset Pricing, Tech self0.92815680%
3Pelger, M. and R. Xiong (2022) State-varying factor models of large dimensions0.92843100%
4Fan, J., Y. Liao, and W. Wang (2016) Projected principal component analysis in factor models0.9209478%
5Negahban, S. and M. J. Wainwright (2011) Estimation of (near) low-rank matrices with noise and high-dimensional scaling0.8746567%
6Kelly, B. T., S. Pruitt, and Y. Su (2019) Characteristics are covariances: A unified model of risk and return0.87452100%
7Ma, S., D. Goldfarb, and L. Chen (2011) Fixed point and Bregman iterative methods for matrix rank minimization0.7373367%
8Connor, G., M. Hagmann, and O. Linton (2012) Efficient semiparametric estimation of the Fama–French model and extensions0.73732100%
9Kim, S., R. A. Korajczyk, and A. Neuhierl (2021) Arbitrage portfolios0.73732100%
10Moon, H. R. and M. Weidner (2023) Nuclear Norm Regularized Estimation of Panel Regression Models, Tech0.73732100%

Showing the top 10 of 51 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
1Nuclear Norm Regularized Estimation of Panel Regression Models0.51121
2Target PCA: Transfer Learning Large Dimensional Panel Data0.40511