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A Wavelet Method for Panel Models with Jump Discontinuities in the Parameters

Oualid Bada, Alois Kneip, Dominik Liebl, Tim Mensinger, James Gualtieri, Robin C. Sickles

arXiv 22 Sep 2021 · Econometrics · publishedJournal of Econometrics (2021)

arXiv:2109.10950 · PDF · DOI · OpenAlex · Extracted main text

Abstract

While a substantial literature on structural break change point analysis exists for univariate time series, research on large panel data models has not been as extensive. In this paper, a novel method for estimating panel models with multiple structural changes is proposed. The breaks are allowed to occur at unknown points in time and may affect the multivariate slope parameters individually. Our method adapts Haar wavelets to the structure of the observed variables in order to detect the change points of the parameters consistently. We also develop methods to address endogenous regressors within our modeling framework. The asymptotic property of our estimator is established. In our application, we examine the impact of algorithmic trading on standard measures of market quality such as liquidity and volatility over a time period that covers the financial meltdown that began in 2007. We are able to detect jumps in regression slope parameters automatically without using ad-hoc subsample selection criteria.

Citation extraction

34
references
71
in-text mentions
34
distinct cited
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self-citations
17,483
main-text words

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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
1Qian, J. and Su, L (2016) Shrinkage Estimation of Common Breaks in Panel Data Models via Adaptive Group Fused Lasso1.000173100%
2Bai, J. and Perron, P (2003) Computation and Analysis of Multiple Structural Change Models1.00083100%
3Bai, J. and Perron, P (1998) Estimating and Testing Linear Models with Multiple Structural Changes0.87452100%
4Bada, O., Kneip, A., Liebl, D., Mensinger, T., Gualtieri, J., and Si… (2021) A wavelet method for panel models with jump discontinuities in the parameters self0.84333100%
5Bai, J (2009) Panel Data Models With Interactive Fixed Effects0.64422100%
6Shorter, G. and Miller, R. S (2014) High-frequency trading: Background, concerns, and regulatory developments0.64422100%
7Bai, J (2010) Common Breaks in Means and Variances for Panel Data0.51121100%
8Boehmer, E., Fong, K., and Wu, J (2012) International Evidence on Algorithmic Trading0.51121100%
9Donoho, D. L. and Johnstone, I. M (1994) Ideal Spatial Adaptation by Wavelet Shrinkage0.51121100%
10Hasbrouck, J. and Saar, G (2013) Low-latency Trading0.51121100%

Showing the top 10 of 34 scored citations.