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Time Series Analysis of COVID-19 Infection Curve: A Change-Point Perspective

Feiyu Jiang, Zifeng Zhao, Xiaofeng Shao

arXiv 9 Jul 2020 · Econometrics · publishedJournal of Econometrics (2020) · 83 citations (OpenAlex)

arXiv:2007.04553 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, we model the trajectory of the cumulative confirmed cases and deaths of COVID-19 (in log scale) via a piecewise linear trend model. The model naturally captures the phase transitions of the epidemic growth rate via change-points and further enjoys great interpretability due to its semiparametric nature. On the methodological front, we advance the nascent self-normalization (SN) technique (Shao, 2010) to testing and estimation of a single change-point in the linear trend of a nonstationary time series. We further combine the SN-based change-point test with the NOT algorithm (Baranowski et al., 2019) to achieve multiple change-point estimation. Using the proposed method, we analyze the trajectory of the cumulative COVID-19 cases and deaths for 30 major countries and discover interesting patterns with potentially relevant implications for effectiveness of the pandemic responses by different countries. Furthermore, based on the change-point detection algorithm and a flexible extrapolation function, we design a simple two-stage forecasting scheme for COVID-19 and demonstrate its promising performance in predicting cumulative deaths in the U.S.

Citation extraction

34
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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
1Baranowski, R., Y. Chen, and P. Fryzlewicz (2019) Narrowest-over-threshold detection of multiple change points and change-point-like features1.00053100%
2Bai, J. and P. Perron (1998) Estimating and testing linear models with multiple structural changes0.84333100%
3Shao, X (2010) A self-normalized approach to confidence interval construction in time series self0.84333100%
4Andrews, D. W (1993) Tests for parameter instability and structural change with unknown change point0.73732100%
5Shao, X. and X. Zhang (2010) Testing for change points in time series self0.64441100%
6Fryzlewicz, P (2014) Wild binary segmentation for multiple change-point detection0.64422100%
7Shao, X (2015) Self-normalization for time series: a review of recent developments self0.64422100%
8Bauwens, L., G. Koop, D. Korobilis, and J. V. Rombouts (2015) The contribution of structural break models to forecasting macroeconomic series0.40511100%
9Cho, H. and P. Fryzlewicz (2015) Multiple change-point detection for high-dimensional time series via sparsified binary segmentation0.40511100%
10Fan, Z. and L. Mackey (2017) An empirical bayesian analysis of simultaneous changepoints in multiple data sequences0.40511100%

Showing the top 10 of 34 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Short-Term Covid-19 Forecast for Latecomers0.40511
2Detecting long-range dependence for time-varying linear models0.00011