arXiv 26 Nov 2025 · Econometrics
arXiv:2511.21948 · PDF · DOI · OpenAlex · Extracted main text
This paper investigates nonlinear panel regression models with interactive fixed effects and introduces a general framework for parameter estimation under potentially non-convex objective functions. We propose a computationally feasible two-step estimation procedure. In the first step, nuclear-norm regularization (NNR) is used to obtain preliminary estimators of the coefficients of interest, factors, and factor loadings. The second step involves an iterative procedure for post-NNR inference, improving the convergence rate of the coefficient estimator. We establish the asymptotic properties of both the preliminary and iterative estimators. We also study the determination of the number of factors. Monte Carlo simulations demonstrate the effectiveness of the proposed methods in determining the number of factors and estimating the model parameters. In our empirical application, we apply the proposed approach to study the cross-market arbitrage behavior of U.S. nonfinancial firms.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Chernozhukov, Victor and Hansen, Christian and Liao, Yuan and Zhu, Y… (2023) Inference for Low-Rank Models | 1.000 | 5 | 3 | 100% |
| 2 | Bai, Jushan (2009) Panel Data Models with Interactive Fixed Effects | 0.961 | 9 | 4 | 89% |
| 3 | Moon, Hyungsik Roger and Weidner, Martin (2019) Nuclear Norm Regularized Estimation of Panel Regression Models | 0.941 | 6 | 3 | 83% |
| 4 | Miao, Ke and Phillips, Peter C.B. and Su, Liangjun (2022) High-Dimensional VARs with Common Factors | 0.928 | 5 | 3 | 80% |
| 5 | Chen, Mingli and Fernández-Val, Iván and Weidner, Martin (2021) Nonlinear Factor Models for Network and Panel Data | 0.883 | 16 | 5 | 69% |
| 6 | Ma, Yueran (2019) Nonfinancial Firms as Cross-Market Arbitrageurs | 0.874 | 9 | 3 | 67% |
| 7 | Belloni, Alexandre and Chen, Mingli and Madrid Padilla, Oscar Hernan… (2023) High-Dimensional Latent Panel Quantile Regression with an Application to Asset Pricing | 0.843 | 5 | 4 | 60% |
| 8 | Armstrong, Timothy B and Weidner, Martin and Zeleneev, Andrei (2023) Robust Estimation and Inference in Panels with Interactive Fixed Effects | 0.737 | 3 | 2 | 100% |
| 9 | Negahban, Sahand N. and Ravikumar, Pradeep and Wainwright, Martin J.… (2012) A Unified Framework for High-Dimensional Analysis of M-Estimators with Decomposable Regularizers | 0.737 | 3 | 2 | 100% |
| 10 | Hong, Shengjie and Su, Liangjun and Jiang, Tao (2023) Profile GMM Estimation of Panel Data Models with Interactive Fixed Effects | 0.644 | 4 | 1 | 100% |
Showing the top 10 of 77 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Bootstrap Inference in Nonlinear Panel Data Models with Interactive Fixed Effects | 0.405 | 1 | 1 |