Department of Statistics, Abdul Wali Khan University Mardan, Mardan, Pakistan.
Department of Computer Science, Abdul Wali Khan University Mardan, Mardan, Pakistan.
Front Public Health. 2022 Jul 29;10:922795. doi: 10.3389/fpubh.2022.922795. eCollection 2022.
In this article, a new hybrid time series model is proposed to predict COVID-19 daily confirmed cases and deaths. Due to the variations and complexity in the data, it is very difficult to predict its future trajectory using linear time series or mathematical models. In this research article, a novel hybrid ensemble empirical mode decomposition and error trend seasonal (EEMD-ETS) model has been developed to forecast the COVID-19 pandemic. The proposed hybrid model decomposes the complex, nonlinear, and nonstationary data into different intrinsic mode functions (IMFs) from low to high frequencies, and a single monotone residue by applying EEMD. The stationarity of each IMF component is checked with the help of the augmented Dicky-Fuller (ADF) test and is then used to build up the EEMD-ETS model, and finally, future predictions have been obtained from the proposed hybrid model. For illustration purposes and to check the performance of the proposed model, four datasets of daily confirmed cases and deaths from COVID-19 in Italy, Germany, the United Kingdom (UK), and France have been used. Similarly, four different statistical metrics, i.e., root mean square error (RMSE), symmetric mean absolute parentage error (sMAPE), mean absolute error (MAE), and mean absolute percentage error (MAPE) have been used for a comparison of different time series models. It is evident from the results that the proposed hybrid EEMD-ETS model outperforms the other time series and machine learning models. Hence, it is worthy to be used as an effective model for the prediction of COVID-19.
本文提出了一种新的混合时间序列模型,用于预测 COVID-19 每日确诊病例和死亡人数。由于数据的变化和复杂性,使用线性时间序列或数学模型很难预测其未来轨迹。在本研究中,提出了一种新的混合集合经验模态分解和误差趋势季节性(EEMD-ETS)模型来预测 COVID-19 大流行。该提出的混合模型通过应用 EEMD 将复杂、非线性和非平稳数据分解为不同的固有模态函数(IMF),从低到高频率,以及一个单一的单调残差。通过增强迪基-富勒(ADF)检验检查每个 IMF 分量的平稳性,然后使用该分量构建 EEMD-ETS 模型,最后从提出的混合模型中获得未来预测。为了说明目的并检查所提出模型的性能,使用了来自意大利、德国、英国和法国的 COVID-19 每日确诊病例和死亡人数的四个数据集。同样,使用了四个不同的统计指标,即均方根误差(RMSE)、对称平均绝对父差误差(sMAPE)、平均绝对误差(MAE)和平均绝对百分比误差(MAPE),对不同时间序列模型进行比较。结果表明,所提出的混合 EEMD-ETS 模型优于其他时间序列和机器学习模型。因此,它值得作为 COVID-19 预测的有效模型。