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分类依据与纠错

AI 根据所提供的论文材料归类:摘要明确结合多国函数型时间序列、固定效应面板建模和死亡率预测,支持这三个方向。

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代码、数据与补充材料

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关注这篇论文的作者
Chen Tang
Han Lin Shang
Yanrong Yang

多重函数型时间序列的聚类与预测

研究问题
多国年龄别死亡率按地理等标签分组后仍可能异质,如何同时利用曲线内部变化和时间动态构造更同质的预测分组?
方法与思路
作者采用带固定效应的函数型面板模型提取共同特征,将其分为函数时间趋势与曲线变化模式,并据此聚类和预测。
材料陈述的贡献
摘要称聚类在模拟中优于所比较方法且能处理特征值缓慢衰减的情形,多国死亡率应用也显示较准确的预测。
阅读关注点
应核对共同特征提取、距离与聚类数选择,以及聚类是否只使用训练期数据、预测基准和慢衰减情形的具体设置。
阅读边界
这是 arXiv 预印本,同行评审及接收未核实;摘要未说明完整理论条件、样本范围或误差数值,报告的优势依赖比较设置。

原文摘要

Modelling and forecasting homogeneous age-specific mortality rates of multiple countries could lead to improvements in long-term forecasting. Data fed into joint models are often grouped according to nominal attributes, such as geographic regions, ethnic groups, and socioeconomic status, which may still contain heterogeneity and deteriorate the forecast results. Our paper proposes a novel clustering technique to pursue homogeneity among multiple functional time series based on functional panel data modelling to address this issue. Using a functional panel data model with fixed effects, we can extract common functional time series features. These common features could be decomposed into two components: the functional time trend and the mode of variations of functions (functional pattern). The functional time trend reflects the dynamics across time, while the functional pattern captures the fluctuations within curves. The proposed clustering method searches for homogeneous age-specific mortality rates of multiple countries by accounting for both the modes of variations and the temporal dynamics among curves. We demonstrate that the proposed clustering technique outperforms other existing methods through a Monte Carlo simulation and could handle complicated cases with slow decaying eigenvalues. In empirical data analysis, we find that the clustering results of age-specific mortality rates can be explained by the combination of geographic region, ethnic groups, and socioeconomic status. We further show that our model produces more accurate forecasts than several benchmark methods in forecasting age-specific mortality rates.

笔记与分组
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