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arXiv 2008.12340cs.LGstat.ML
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多季节性预测

Forecasting with Multiple Seasonality

University of Minnesota Twin Cities(明尼苏达大学双城分校)

Tianyang Xie, Jie Ding

摘要:

一个新兴的现代应用涉及预测时间序列数据,表现出短期动态和长期的季节性。具体而言,具有多个季节性的时间序列是一项困难的任务,讨论相对较少。在本文中,我们提出了一个两阶段的方法,时间序列的多个季节性,它不需要预先确定的季节周期。在第一阶段,我们推广了经典的季节自回归移动平均(ARMA)模型在多季节性制度。在第二阶段,我们利用一个适当的标准,滞后顺序选择。模拟和实证研究表明,我们的方法具有良好的预测性能,特别是与最近流行的“Facebook先知”模型的时间序列。

英文摘要:

An emerging number of modern applications involve forecasting time series data that exhibit both short-time dynamics and long-time seasonality. Specifically, time series with multiple seasonality is a difficult task with comparatively fewer discussions. In this paper, we propose a two-stage method for time series with multiple seasonality, which does not require pre-determined seasonality periods. In the first stage, we generalize the classical seasonal autoregressive moving average (ARMA) model in multiple seasonality regime. In the second stage, we utilize an appropriate criterion for lag order selection. Simulation and empirical studies show the excellent predictive performance of our method, especially compared to a recently popular `Facebook Prophet' model for time series.

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。

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