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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">economyprom</journal-id><journal-title-group><journal-title xml:lang="ru">Экономика промышленности / Russian Journal of Industrial Economics</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Journal of Industrial Economics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2072-1633</issn><issn pub-type="epub">2413-662X</issn><publisher><publisher-name>MISIS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/2072-1633-2025-2-1393</article-id><article-id custom-type="elpub" pub-id-type="custom">economyprom-1393</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 предприятий</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Business economics</subject></subj-group></article-categories><title-group><article-title>Повышение достоверности экономического прогноза за счет проверки нормальности распределения массива данных</article-title><trans-title-group xml:lang="en"><trans-title>Increasing the reliability of the economic forecast by checking the normality of the data array distribution</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2108-0241</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Костюхин</surname><given-names>Ю. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Kostyukhin</surname><given-names>Yu. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юрий Юрьевич Костюхин – д-р экон. наук, профессор</p><p>119049, Москва, Ленинский просп., д. 4, стр. 1</p></bio><bio xml:lang="en"><p>Yuriy Yu. Kostyukhin – Dr.Sci. (Econ.), Professor</p><p>4-1 Leninskiy Ave., Moscow 119049</p></bio><email xlink:type="simple">kostuhinyury@mail.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/0009-0008-2915-742X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Богачев</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Bogachev</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Андрей Сергеевич Богачев – ассистент кафедры промышленного менеджмента</p><p>119049, Москва, Ленинский просп., д. 4, стр. 1</p></bio><bio xml:lang="en"><p>Andrey S. Bogachev – Assistant of the Department of Industrial Management</p><p>4-1 Leninskiy Ave., Moscow 119049</p></bio><email xlink:type="simple">andr.bogachiov@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский технологический университет "МИСИС"</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National University of Science and Technology “MISIS”</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>19</day><month>06</month><year>2025</year></pub-date><volume>18</volume><issue>2</issue><fpage>275</fpage><lpage>281</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Костюхин Ю.Ю., Богачев А.С., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Костюхин Ю.Ю., Богачев А.С.</copyright-holder><copyright-holder xml:lang="en">Kostyukhin Y.Y., Bogachev A.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://ecoprom.misis.ru/jour/article/view/1393">https://ecoprom.misis.ru/jour/article/view/1393</self-uri><abstract><p>Одной из ошибок прогнозирования тенденций экономического развития является отсутствие первоначальной проверки нормальности распределения данных как неотъемлемое условие применимости статистических процедур. Применимость данных методов к искаженным данным приводит к неточности и снижению качества экономического прогноза. Цель работы – провести поэтапную проверку нормальности распределения данных для обеспечения более высокой достоверности экономического прогноза на основе тестов симметрии, таких как коэффициент вариации, графики квантилей, среднее абсолютное отклонение, диапазон размаха варьирования и статистика Жарка–Бера. Обработка данных, основанная на распределении валового внутреннего продукта РФ с 2000 по 2020 г., показала наличие нормального распределения массива, что способствует достоверному экономическому прогнозу и оценки перспектив изменений в будущем с целью минимизации ошибок и искажению результатов.</p></abstract><trans-abstract xml:lang="en"><p>One of the errors in forecasting economic development trends is lack of initial normality check of data distribution as an essential condition for the applicability of statistical procedures. The applicability of these methods to distorted data results in inaccuracy and low quality of the economic forecast. The purpose of the study is to carry out a step-to-step normality check of data distribution to ensure a more accurate economic forecast based on the symmetry tests such as the coefﬁcient of variation, quantile graphs, average absolute deviation, range of variation, and Jarque–Bera statistic. Data processing based on distribution of Russia’s gross domestic product from 2000 to 2020 revealed a normal array distribution, which ensures reliable economic forecasting and assessment of prospects for future changes in order to minimize errors and distorted results.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>коэффициент вариации</kwd><kwd>среднее абсолютное отклонение</kwd><kwd>размах варьирования</kwd><kwd>статистика Жарка–Бера</kwd><kwd>нормальное распределение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>coeffi cient of variation</kwd><kwd>average absolute deviation</kwd><kwd>the range of variation</kwd><kwd>Jarque–&#13;
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