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Detecting Multiple Structural Breaks in Systems of Linear Regression Equations with Integrated and Stationary Regressors

Karsten Schweikert

arXiv 14 Jan 2022 · Econometrics · publishedOxford Bulletin of Economics and Statistics (2025) · 2 citations (OpenAlex)

arXiv:2201.05430 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, we propose a two-step procedure based on the group LASSO estimator in combination with a backward elimination algorithm to detect multiple structural breaks in linear regressions with multivariate responses. Applying the two-step estimator, we jointly detect the number and location of structural breaks, and provide consistent estimates of the coefficients. Our framework is flexible enough to allow for a mix of integrated and stationary regressors, as well as deterministic terms. Using simulation experiments, we show that the proposed two-step estimator performs competitively against the likelihood-based approach (Qu and Perron, 2007; Li and Perron, 2017; Oka and Perron, 2018) in finite samples. However, the two-step estimator is computationally much more efficient. An economic application to the identification of structural breaks in the term structure of interest rates illustrates this methodology.

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52
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131
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distinct cited
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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
1Qu, Z., Perron, P (2007) Estimating and testing structural change in multivariate regressions1.000114100%
2Safikhani, A., Shojaie, A (2022) Joint Structural Break Detection and Parameter Estimation in High-Dimensional Nonstationary VAR Models1.000103100%
3Oka, T., Perron, P (2018) Testing for common breaks in a multiple equations system1.00093100%
4Schweikert, K (2022) Oracle Efficient Estimation of Structural Breaks in Cointegrating Regressions self1.00083100%
5Bai, J., Lumsdaine, R.L., Stock, J.H (1998) Testing for and Dating Common Breaks in Multivariate Time Series1.00063100%
6Chan, N.H., Yau, C.Y., Zhang, R.M (2014) Group LASSO for Structural Break Time Series0.95616388%
7Li, Y., Perron, P (2017) Inference on locally ordered breaks in multiple regressions0.9568488%
8Gao, W., Yang, H., Yang, L (2020) Change points detection and parameter estimation for multivariate time series0.87462100%
9Bai, J., Perron, P (1998) Estimating and Testing Linear Models with Multiple Structural Changes0.84333100%
10Hansen, P.R (2003) Structural changes in the cointegrated vector autoregressive model0.81142100%

Showing the top 10 of 52 scored citations.