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Binary Response Models for Heterogeneous Panel Data with Interactive Fixed Effects

2020/12/06 by Jiti Gao, Gao, Jiti, Fei Liu +4 · 1 citation
Economics, Econometrics and Finance · Mathematics · #Econometrics (econ.EM) #FOS: Economics and business #Firm Innovation and Growth #Spatial and Panel Data Analysis #Statistical Methods and Inference

paper · pdf · doi:10.48550/arxiv.2012.03182

openalex publication_date 2020/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate binary response models for heterogeneous panel data with interactive fixed effects by allowing both the cross-sectional dimension and the temporal dimension to diverge. From a practical point of view, the proposed framework can be applied to predict the probability of corporate failure, conduct credit rating analysis, etc. Theoretically and methodologically, we establish a link between a maximum likelihood estimation and a least squares approach, provide a simple information criterion to detect the number of factors, and achieve the asymptotic distributions accordingly. In addition, we conduct intensive simulations to examine the theoretical findings. In the empirical study, we focus on the sign prediction of stock returns, and then use the results of sign forecast to conduct portfolio analysis.

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