A Robust Residual-Based Test for Structural Changes in Factor Models

Fuente: arXiv
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Main Authors: Peng, Bin, Su, Liangjun, Yan, Yayi
Format: Preprint
Published: 2024
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author Peng, Bin
Su, Liangjun
Yan, Yayi
author_facet Peng, Bin
Su, Liangjun
Yan, Yayi
contents In this paper, we propose an easy-to-implement residual-based specification testing procedure for detecting structural changes in factor models, which is powerful against both smooth and abrupt structural changes with unknown break dates. The proposed test is robust against the over-specified number of factors, and serially and crosssectionally correlated error processes. A new central limit theorem is given for the quadratic forms of panel data with dependence over both dimensions, thereby filling a gap in the literature. We establish the asymptotic properties of the proposed test statistic, and accordingly develop a simulation-based scheme to select critical value in order to improve finite sample performance. Through extensive simulations and a real-world application, we confirm our theoretical results and demonstrate that the proposed test exhibits desirable size and power in practice.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00941
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Robust Residual-Based Test for Structural Changes in Factor Models
Peng, Bin
Su, Liangjun
Yan, Yayi
Econometrics
In this paper, we propose an easy-to-implement residual-based specification testing procedure for detecting structural changes in factor models, which is powerful against both smooth and abrupt structural changes with unknown break dates. The proposed test is robust against the over-specified number of factors, and serially and crosssectionally correlated error processes. A new central limit theorem is given for the quadratic forms of panel data with dependence over both dimensions, thereby filling a gap in the literature. We establish the asymptotic properties of the proposed test statistic, and accordingly develop a simulation-based scheme to select critical value in order to improve finite sample performance. Through extensive simulations and a real-world application, we confirm our theoretical results and demonstrate that the proposed test exhibits desirable size and power in practice.
title A Robust Residual-Based Test for Structural Changes in Factor Models
topic Econometrics
url https://arxiv.org/abs/2406.00941