预测系统的准确性:比较不同结构的框架

IF 1.3 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Applied Stochastic Models in Business and Industry Pub Date : 2023-09-19 DOI:10.1002/asmb.2823
Carla Freitas Silveira Netto, Vinicius A. Brei, Rob J. Hyndman
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引用次数: 0

摘要

在建立预测系统时,对管理者来说最具挑战性的一个方面就是选择如何汇总不同层次的数据。管理者往往不知道这些选择会如何影响系统的准确性。本文通过比较不同的结构和聚合标准来说明这些妥协。我们的文章就如何建立一个连贯且更准确的预测系统提出了一个框架,并进行了实证测试。该框架的第一阶段比较了不同的时间序列预测方法,包括统计、"标准 "机器学习和深度学习。结果显示,其中一种统计方法(自回归综合移动平均法,简称 ARIMA)优于机器学习和深度学习方法。第二阶段比较了汇总标准、预测系统结构和连贯预测方法(即在不同汇总级别对预测进行调整)的不同组合。结果表明,使用不同的标准和结构确实会影响预测的准确性。当需要对预测进行分解时,我们的结果表明,最好在分组结构中添加更多信息,并通过自下而上的方法进行调整。与使用的其他结构和连贯预测方法相比,这种组合提供了最佳性能,即在大多数节点中平均绝对缩放误差(MASE)最小。结果还表明,按地理区域进一步汇总时间序列对于提高产品和渠道销售预测的准确性至关重要。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Forecasting system's accuracy: A framework for the comparison of different structures

One of the most challenging aspects for managers when building a forecasting system is choosing how to aggregate the data at different levels. This is frequently done without the manager knowing how these choices can compromise the system's accuracy. This article illustrates these compromises by comparing different structures and aggregation criteria. Our article proposes and empirically tests a framework on how to build a coherent and more accurate forecasting system. The framework's first phase compares different time series forecasting methods, including statistical, “standard” machine learning, and deep learning. Results show that one of the statistical methods (autoregressive integrated moving average, or, for short, ARIMA) outperforms machine and deep learning methods. The second phase compares different combinations of aggregation criteria, structures of the forecasting system, and coherent forecast methods (i.e., adjustments to the forecasts at different levels of aggregation). The results show that using different criteria and structures indeed impacts predictions' accuracy. When it is necessary to disaggregate the forecast, our results show that it is best to add more information in a grouped structure, adjusted by a bottom-up method. This combination provides the best performance, that is, the lowest mean absolute-scaled error (MASE) in most nodes, compared to the other structures and coherent forecast methods used. The results also suggest that aggregating the time series further by geographical regions is essential to improve accuracy when forecasting products' and channels' sales.

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来源期刊
CiteScore
2.70
自引率
0.00%
发文量
67
审稿时长
>12 weeks
期刊介绍: ASMBI - Applied Stochastic Models in Business and Industry (formerly Applied Stochastic Models and Data Analysis) was first published in 1985, publishing contributions in the interface between stochastic modelling, data analysis and their applications in business, finance, insurance, management and production. In 2007 ASMBI became the official journal of the International Society for Business and Industrial Statistics (www.isbis.org). The main objective is to publish papers, both technical and practical, presenting new results which solve real-life problems or have great potential in doing so. Mathematical rigour, innovative stochastic modelling and sound applications are the key ingredients of papers to be published, after a very selective review process. The journal is very open to new ideas, like Data Science and Big Data stemming from problems in business and industry or uncertainty quantification in engineering, as well as more traditional ones, like reliability, quality control, design of experiments, managerial processes, supply chains and inventories, insurance, econometrics, financial modelling (provided the papers are related to real problems). The journal is interested also in papers addressing the effects of business and industrial decisions on the environment, healthcare, social life. State-of-the art computational methods are very welcome as well, when combined with sound applications and innovative models.
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