arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2109.01952stat.AP
收藏

用函数数据模型模拟传染病的演变:巴西COVID-19的案例

Modeling the Evolution of Infectious Diseases with Functional Data Models: The Case of COVID-19 in Brazil

Julian A. A. Collazos, Ronaldo Dias, Marcelo C. Medeiros

摘要:

在本文中,我们应用函数数据的统计方法来解释不同地区新冠肺炎死亡人数演变的异质性。我们将特定区域的累积每日死亡人数视为曲线(函数数据),使数据由一组位置横截面上的曲线组成。我们首先使用聚类方法的功能数据,以确定潜在的异质性曲线及其功能的衍生物。第一阶段是无条件描述性分析,因为我们不使用任何协变量来估计聚类。估计的集群被分析为“警报级别”,以确定可能处于危急情况的城市。在第二和最后阶段,我们提出了一个功能分位数回归模型的死亡曲线上的一些标量的社会经济和人口指标,以调查其功能的影响,在不同水平的累积死亡人数随着时间的推移。与基于普通最小二乘法的函数回归模型相比,该模型在累积死亡人数的不同水平上提供了更好的曲线拟合,显示出更好的预测能力。

英文摘要:

In this paper, we apply statistical methods for functional data to explain the heterogeneity in the evolution of number of deaths of Covid-19 over different regions. We treat the cumulative daily number of deaths in a specific region as a curve (functional data) such that the data comprise of a set of curves over a cross-section of locations. We start by using clustering methods for functional data to identify potential heterogeneity in the curves and their functional derivatives. This first stage is an unconditional descriptive analysis, as we do not use any covariate to estimate the clusters. The estimated clusters are analyzed as "levels of alert" to identify cities in a possible critical situation. In the second and final stage, we propose a functional quantile regression model of the death curves on a number of scalar socioeconomic and demographic indicators in order to investigate their functional effects at different levels of the cumulative number of deaths over time. The proposed model showed a superior predictive capacity by providing better curve fit at different levels of the cumulative number of deaths compared to the functional regression model based on ordinary least squares.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑