Sparse HP Filter: Finding Kinks in the COVID-19 Contact Rate
稀疏 HP 滤波:识别 COVID-19 接触率的折点AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要以日度时间序列趋势滤波识别接触率折点,直接涉及时间序列与趋势结构变化。
稀疏 HP 滤波:识别 COVID-19 接触率的折点AI 解读 ↓
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In this paper, we estimate the time-varying COVID-19 contact rate of a Susceptible-Infected-Recovered (SIR) model. Our measurement of the contact rate is constructed using data on actively infected, recovered and deceased cases. We propose a new trend filtering method that is a variant of the Hodrick-Prescott (HP) filter, constrained by the number of possible kinks. We term it the $\textit{sparse HP filter}$ and apply it to daily data from five countries: Canada, China, South Korea, the UK and the US. Our new method yields the kinks that are well aligned with actual events in each country. We find that the sparse HP filter provides a fewer kinks than the $\ell_1$ trend filter, while both methods fitting data equally well. Theoretically, we establish risk consistency of both the sparse HP and $\ell_1$ trend filters. Ultimately, we propose to use time-varying $\textit{contact growth rates}$ to document and monitor outbreaks of COVID-19.
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