The Importance of Taking into Account the Results of Additive Modeling During Dynamics Process Analyzing

M. Abramova
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Abstract

Abstract. Introduction. In order to cope with such changes during the analysis, it is necessary to understand the essence of the methods and approaches that should be used by the researcher. The authors of this article aim to inform a wide range of scientists about the possibilities of using additive modeling not only to forecast data with seasonal and random components, but also to take into account its results at each stage of analysis to determine the essence (features) of the dynamics of processes (on the example of the gross domestic product of the Russian Federation and Ukraine until 2026), as well as to compare its forecast data with the results of extrapolation using a sixth-order polynomial. The authors of this paper extrapolated the data of the gross domestic product of the Russian Federation and Ukraine to 2026 using additive modeling. Purpose. The purpose of the article is to convey to a wide range of scientists the possibilities of using additive modeling not only for forecasting data taking into account the seasonal component, but also taking into account its results at each stage of analysis to determine the essence (features) of the dynamics of processes (on the example of data on the gross domestic product of the Russian Federation and Ukraine with a forecast until 2026), as well as a comparison of its forecast data with the results of extrapolation using a sixth-order polynomial. Results. Thus, based on the results of calculating the average percentage error, average absolute percentage error, coefficient of determination and the results of checking the adequacy of the model, the following conclusions were made: the specificity of the statistical data proposed for analysis (GDP of Ukraine and the Russian Federation) fully meets the requirements of additive modeling; there are no significant deviations from the average variation in the statistical data proposed for analysis, so the reliability of extrapolation is high; similar values in the changes in the average percentage error, average absolute. Conclusions. That is, to bring the extrapolation closer to reality, the value of the seasonal component was calculated. According to the results obtained, the dynamics of Ukraine's GDP, based on the data for 1986-2022, is more stable than that of the Russian Federation (1987-2022). According to the results obtained after evaluating the results of the two calculations, the following conclusions can be drawn: although Ukraine's GDP indicators reacted more sharply to changes in the national economy (sharper drops in the sample than in the Russian Federation's indicators), the extrapolation data of both approaches have a similar trend, which is evidence of a faster recovery of economic processes within the country; the results of extrapolation of the two approaches do not coincide, which indicates the presence of hidden processes in the national economy that have a significant impact on the dynamics of Thus, today the problem is not only in more realistic data forecasting, but also in the qualitative interpretation of the results at each stage of analysis to determine the essence (features) of the dynamics of processes.
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动力学过程分析中考虑加性建模结果的重要性
摘要介绍。为了应对分析过程中的这些变化,有必要了解研究人员应该使用的方法和途径的本质。本文的作者旨在向广大科学家介绍使用加性建模的可能性,不仅可以预测具有季节性和随机成分的数据,而且还可以在分析的每个阶段考虑其结果,以确定过程动态的本质(特征)(以俄罗斯联邦和乌克兰到2026年的国内生产总值为例)。并利用六阶多项式将其预报数据与外推结果进行比较。本文作者利用加性模型对俄罗斯联邦和乌克兰到2026年的国内生产总值数据进行了外推。目的。本文的目的是向广泛的科学家传达使用加性建模的可能性,不仅用于考虑季节性成分的预测数据,而且还考虑到其在每个分析阶段的结果,以确定过程动态的本质(特征)(以俄罗斯联邦和乌克兰的国内生产总值数据为例,预测到2026年)。并将其预报数据与六阶多项式外推结果进行了比较。结果。由此,根据平均百分比误差、平均绝对百分比误差、决定系数的计算结果和模型充分性检验的结果,得出以下结论:拟分析统计数据(乌克兰和俄罗斯联邦的GDP)的专用性完全满足加性建模的要求;所提出的分析统计数据与平均方差无显著偏差,故外推的可靠性高;相似值中变化的平均误差百分比,平均绝对值。结论。也就是说,为了使外推更接近现实,计算了季节成分的值。根据所获得的结果,基于1986-2022年数据的乌克兰国内生产总值动态比俄罗斯联邦(1987-2022年)更稳定。根据对两种计算结果进行评价后得到的结果,可以得出以下结论:虽然乌克兰的国内总产值指标对国民经济变化的反应更为剧烈(样本的下降幅度比俄罗斯联邦的指标更大),但两种方法的外推数据具有类似的趋势,这是该国经济进程恢复较快的证据;这两种方法的外推结果并不一致,这表明在国民经济中存在对动态有重大影响的隐藏过程。因此,今天的问题不仅在于更现实的数据预测,而且在于对分析的每个阶段的结果进行定性解释,以确定过程动态的本质(特征)。
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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