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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">guuvest</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник университета</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik Universiteta</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1816-4277</issn><issn pub-type="epub">2686-8415</issn><publisher><publisher-name>State University of Management</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26425/1816-4277-2026-5-139-150</article-id><article-id custom-type="elpub" pub-id-type="custom">guuvest-6984</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ЭКОНОМИКА: ПРОБЛЕМЫ, РЕШЕНИЯ И ПЕРСПЕКТИВЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ECONOMICS: PROBLEMS, SOLUTIONS AND PROSPECTS</subject></subj-group></article-categories><title-group><article-title>Сравнение метода Хольта Винтерса и модели Arima при рассмотрении статистических данных</article-title><trans-title-group xml:lang="en"><trans-title>Comparison with the Holt-Winters method and the Arima model in considering statistics</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-9300-6682</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Козлов</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kozlov</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Козлов Илья Алексеевич – аспирант </p><p>г. Москва</p><p> </p></bio><bio xml:lang="en"><p>Ilya A. Kozlov – Postgraduate Student </p><p>Moscow</p></bio><email xlink:type="simple">IAKozlov@mephi.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8683-4430</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Смирнов</surname><given-names>Д. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Smirnov</surname><given-names>D. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Смирнов Дмитрий Сергеевич – канд. экон. наук , доц. каф. финансового менеджмента </p><p>г. Москва</p></bio><bio xml:lang="en"><p>Dmitrii S. Smirnov – Cand. Sci. (Econ.), Assoc. Prof. of the Department of Financial Management</p><p>Moscow</p></bio><email xlink:type="simple">dssmirnov@mephi.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский ядерный университет «МИФИ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Nuclear University MEPhI</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>25</day><month>08</month><year>2026</year></pub-date><volume>0</volume><issue>5</issue><fpage>139</fpage><lpage>150</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Козлов И.А., Смирнов Д.С., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Козлов И.А., Смирнов Д.С.</copyright-holder><copyright-holder xml:lang="en">Kozlov I.A., Smirnov D.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestnik.guu.ru/jour/article/view/6984">https://vestnik.guu.ru/jour/article/view/6984</self-uri><abstract><p>Данная работа заключается в исследовании и сравнении эффективности двух распространенных методов прогнозирования временных рядов: метода Хольта-Винтерса и модели ARIMA. Актуальность исследования обуславливается необходимостью повышения точности прогнозов в экономике и бизнесе, особенно при наличии ярко выраженных тенденций и сезонности, характерных для многих социально-экономических показателей.</p><p>Авторами выполнен сравнительный анализ указанных методов, основанный на реальных исторических данных, отражающих динамику экономического показателя — оборота розничной торговли. Исследованием охватывается значительный временной интервал, что позволяет выявить устойчивые закономерности трендов и циклических колебаний Методы проверены на точность прогнозирования с помощью использования пакета статистического анализа R и специализированных библиотек: forecast, stats, KFAS, позволяющих автоматизировать процесс подготовки данных, подбор оптимальных конфигураций моделей и графическое представление результатов. Это обеспечивает высокую степень объективности и наглядности проведенного анализа.</p><p>Представлены детальные результаты тестирования обеих моделей, включая численные оценки ошибок прогнозирования и графики, наглядно отображающие качество предсказания. Полученные данные свидетельствуют о различиях в поведении каждой методики, применительно к разным временным рядам, подчеркивая необходимость тщательного выбора инструмента в зависимости от особенностей исследуемых данных. Статья направлена на повышение уровня информированности специалистов по вопросам выбора оптимального подхода к прогнозированию социально-экономических явлений, способствуя улучшению процесса принятия управленческих решений на основе качественного прогноза. В заключении сформулированы конкретные рекомендации по применению методов Хольта-Винтерса и ARIMA.</p></abstract><trans-abstract xml:lang="en"><p>A brief analytical overview researches and compares with two common methods of forecasting time series: the Holt-Winters method and the ARIMA model. The relevance of the study is caused byneed to improve forecast accuracy in economics and business, especially with strong trends and seasonality, which is typical for many of many socio-economic indicators.</p><p>The authors made a comparative analysis of these methods. This analysis is based on real historical data, refl g the dynamics of an economic indicator–retail turnover. The study covers a significant time interval, which allows to identificate the reliable trends and cyclical fluctuations.</p><p>The methods were tested for forecasting accuracy with using the R statistical analysis package and specialized libraries (forecast, stats, KFAS), which allow to automate data preparation, selection of optimal model confi ations, and graphical presentation of results. This provides a high degree objectivity and clarity of the analysis.</p><p>Detailed test results for both models are presented, including numerical estimates of forecast errors and graphs clearly demonstrating the quality of the forecast. The data obtained demonstrate differences in the performance of each method when applied to different time series, emphasizing the need for careful selection of the tool based on the characteristics of the data being analyzed. This article aims to increase awareness among specialists regarding the optimal approach to forecasting socioeconomic phenomena, contributing to improved management decision-making based on high-quality forecasts. Specific recommendations for the application of the Holt-Winters and ARIMA methods are provided in the conclusion.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>прогнозирование временных рядов</kwd><kwd>метод Хольта-Винтерса</kwd><kwd>тренд</kwd><kwd>сезонность</kwd><kwd>модель ARIMA</kwd><kwd>экономические данные</kwd><kwd>анализ</kwd></kwd-group><kwd-group xml:lang="en"><kwd>forecasting time series</kwd><kwd>Holt-Winters method</kwd><kwd>trend</kwd><kwd>seasonality</kwd><kwd>ARIMA model</kwd><kwd>economic data</kwd><kwd>analysis</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Зиненко, А. В. Обоснование прогнозирования финансовых временных рядов методами авторегрессии скользящего среднего и интегрированной авторегрессии скользящего среднего в зависимости от показателя Херста / А. В. Зиненко // Современные наукоемкие технологии. — 2025. — № 6. — С. 23–28. — DOI 10.17513/snt.40418. — EDN PFUDHV.</mixed-citation><mixed-citation xml:lang="en">Zinenko, A.V. (2025). Justification of financial time series forecasting using autoregressive moving average and integrated autoregressive moving average methods depending on the Hurst exponent. Modern science-intensive technologies, 6, 23–28. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Горелик, А. Ю. Сравнительный анализ моделей ARMA и ARIMA для различных горизонтов прогнозирования: выбор оптимального подхода / А. Ю. Горелик, Е. В. Королева // Вестник Алтайской академии экономики и права. — 2025. — № 4-1. — С. 53-60. — DOI 10.17513/vaael.4074. — EDN KLBDBJ.</mixed-citation><mixed-citation xml:lang="en">Gorelik, A.Yu., Koroleva, E.V. (2025). Comparative analysis of ARMA and ARIMA models for different forecasting horizons: choosing the optimal approach. Bulletin of the Altai Academy of Economics and Law, 4, 53–60. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Kumar, L. A comparative assessment of Holt Winter exponential smoothing and autoregressive integrated moving average for inventory optimization in supply chains / L. Kumar, S. Khedlekar, U.K. Khedlekar // Supply Chain Analytics. — 2024. — Vol. 8. — Art 100084. — С. 16. — DOI 10.1016/j.sca.2024.100084. — EDN: PYXJHX.</mixed-citation><mixed-citation xml:lang="en">Kumar, L., Khedlekar, S., Khedlekar, U.K. (2024). A comparative assessment of Holt-Winter exponential smoothing and autoregressive integrated moving average for inventory optimization in supply chains. Supply Chain Analytics, 8, 100084, 16.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Kashif, K. LSTM-ARIMA as a hybrid approach in algorithmic investment strategies / K. Kashif, R. Ślepaczuk // KnowledgeBased Systems. — 2025 — Vol. 320:113563. — С. 24. — DOI 10.1016/j.knosys.2025.113563. — EDN: KHJIBA.</mixed-citation><mixed-citation xml:lang="en">Kashif, K., Ślepaczuk, R. (2025). LSTM-ARIMA as a hybrid approach in algorithmic investment strategies. KnowledgeBased Systems, 320:113563, 24.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Yu, J. How can artificial networks enhance second-order hybrid extended Kalman filtering for energy management? / J. Yu, А. Kateb Jumaah Al-Nussairi, M.H. Chyad, N. S. S. Singh, et all // Energy Reports. — 2025. — Vol. 14. — С. 1368–1391. — DOI 10.1016/j.egyr.2025.07.014</mixed-citation><mixed-citation xml:lang="en">Jianyong, Yu, A.K.J., Al-Nussairi, Chyad, M.H, Singh, N.S., et all (2025). How can artificial networks enhance second-order hybrid extended Kalman filtering for energy management? Energy Reports, 14, 1368–1391. http://doi.org/10.2139/ssrn.6517396.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Qiu, H. Comparative analysis of Kalman Filters, Gaussian Sum Filters, and Artificial Neural Networks for state estimation in energy management / H. Qiu, J. Yu, M.H. Chyad, N. S. S. Singh, et all // Energy Reports. — 2025. — Vol. 13. — С. 4417–4440. — DOI 10.1016/j.egyr.2025.03.054.</mixed-citation><mixed-citation xml:lang="en">Qiu, H., Yu, J., Chyad, M.H., Singh, N.S., et all (2025). Comparative analysis of Kalman Filters, Gaussian Sum Filters, and Artifi Neural Networks for state estimation in energy management. Energy Reports, 13, 4417–4440. http://doi.org/10.1016/j.egyr.2025.03.054.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Karamolegkos, S. Advancing short-term load forecasting with decomposed Fourier ARIMA: A case study on the Greek energy market / S. Karamolegkos, D.E. Koulouriotis // Energy. —2025. — Vol. 325. — Article 135854. — С. 27. — DOI 10.1016/j.energy.2025.135854.</mixed-citation><mixed-citation xml:lang="en">Karamolegkos, S., Koulouriotis, D. E. (2025). Advancing short-term load forecasting with decomposed Fourier ARIMA: A case study on the Greek energy market. Energy, 325, 135854, 27. http://doi.org/10.1109/PACET56979.2022.9976351.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Sherly, A. A hybrid approach to time series forecasting: Integrating ARIMA and prophet for improved accuracy / Sherly, M. S. Christo, E. Jesi V. // Results in Engineering. — 2025. — Vol. 27. — Article 105703. — С. 17. — DOI 10.1016/j.rineng.2025.105703.</mixed-citation><mixed-citation xml:lang="en">Sherly, A., Christo, M.S., E. Jesi, V. (2025) A hybrid approach to time series forecasting: Integrating ARIMA and prophet for improved accuracy. Results in Engineering, 27, 105703, 17. http://doi.org/10.1016/j.rineng.2025.105703.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Taddei, N. Distributed time-varying Gaussian process regression via Kalman filtering / N. Taddei, R. Maggioni, J. Eising, G. Pasquale, et all // European Journal of Control. — 2025. — DOI 10.1016/j.ejcon.2025.101371.</mixed-citation><mixed-citation xml:lang="en">Taddei, N., Maggioni, R., Eising, J., Pasquale, G.D., Dörfler, F. (2025). Distributed time-varying Gaussian process regression via Kalman filtering. European Journal of Control. http://doi.org/10.1016/j.ejcon.2025.101330.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
