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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">vguit</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Воронежского государственного университета инженерных технологий</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Voronezh State University of Engineering Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-910X</issn><issn pub-type="epub">2310-1202</issn><publisher><publisher-name>VSUET</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.20914/2310-1202-2020-4-340-346</article-id><article-id custom-type="elpub" pub-id-type="custom">vguit-2636</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 и управление</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Economics and Management</subject></subj-group></article-categories><title-group><article-title>Сравнение индексов инновационного развития в пространстве характеристик региональной дифференциации</article-title><trans-title-group xml:lang="en"><trans-title>Comparison of innovative development indexes in the space of regional differentiation characteristics</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5050-7454</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Афанасьев</surname><given-names>М. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Afanasiev</surname><given-names>M. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.э.н., главный научный сотрудник, лаборатория прикладной эконометрики, пр-т Нахимовский, 47, г. Москва, 117418, Россия</p></bio><bio xml:lang="en"><p>Dr. Sci. (Econ..), chief researcher, applied econometrics department, Nakhimovsky Av., 47 Moscow, 117418, Russia</p></bio><email xlink:type="simple">miafan@cemi.rssi.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/0000-0003-2495-5496</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кудров</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kudrov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к.ф-м.н., ведущий научный сотрудник, лаборатория вероятностно-статистических методов и моделей в экономике, пр-т Нахимовский, 47, г. Москва, 117418, Россия</p></bio><bio xml:lang="en"><p>Cand. Sci. (Phys.-Math.), leading researcher, probabilistic and statistical methods and models in economics department, Nakhimovsky Av., 47 Moscow, 117418, Russia</p></bio><email xlink:type="simple">kovlal@inbox.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/0000-0002-2381-9807</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лысенкова</surname><given-names>М. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Lysenkova</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>научный сотрудник, лаборатория прикладной эконометрики, пр-т Нахимовский, 47, г. Москва, 117418, Россия</p></bio><bio xml:lang="en"><p>researcher, applied econometrics department, Nakhimovsky Av., 47 Moscow, 117418, Russia</p></bio><email xlink:type="simple">lysenkovam@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Центральный экономико-математический институт Российской академии наук</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Central Economics and Mathematics Institute of Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>29</day><month>11</month><year>2020</year></pub-date><volume>82</volume><issue>4</issue><fpage>340</fpage><lpage>346</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Афанасьев М.Ю., Кудров А.В., Лысенкова М.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Афанасьев М.Ю., Кудров А.В., Лысенкова М.А.</copyright-holder><copyright-holder xml:lang="en">Afanasiev M.Y., Kudrov A.V., Lysenkova M.A.</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://www.vestnik-vsuet.ru/vguit/article/view/2636">https://www.vestnik-vsuet.ru/vguit/article/view/2636</self-uri><abstract><p>В настоящее время одним из приоритетов развития страны является переход экономики на инновационный путь развития. Особую актуальность приобретает анализ и оценка инновационного развития на региональном и национальном уровнях, количественная оценка инновационной активности регионов и разработка методов оценки эффективности взаимодействия науки и бизнеса, позволяющих выбрать правильные стратегии при решении задач управления. Предметом исследования являются индексы инновационного развития регионов. Целью исследования является сравнительный анализ индексов инновационного развития регионов и выявление индексов, не имеющих существенного отличия. Сравниваются восемь индексов характеризующих инновационное развитие регионов РФ. В работе используются четыре авторских индекса, опубликованных ранее: индекс технической эффективности инновационного пространства по международным патентным заявкам TEMPZ, индекс технической эффективности инновационного пространства по патентным заявкам TEPZ, индекс технической эффективности инновационного пространства по выданным патентам TEPV и индекс технической эффективности инновационного пространства по разработанным новым технологиям TETECH. Наряду с авторскими индексами, рассматриваются еще четыре индекса, имеющих близкую прикладную направленность, опубликованные Институтом статистических исследований и экономики знаний (ИСИЭЗ) НИУ ВШЭ, РИА рейтингом и Ассоциацией инновационных регионов России (АИРР). В ходе исследования произведен сравнительный анализ индексов инновационного развития в пространстве экспертно заданных характеристик региональной дифференциации. Анализ косинусов углов между индексами, построенных с использованием бета-коэффициентов регрессий этих индексов на характеристики дифференциации, позволяет уточнить результаты корреляционного анализа и выявить подмножество индексов, не различимых при решении задач управления, параметризованных с использованием характеристик дифференциации.</p></abstract><trans-abstract xml:lang="en"><p>Currently, one of the priorities of the country's development is the transition of the economy to an innovative path of development. Analysis and evaluation of innovative development at the regional and national levels, quantitative assessment of regional innovation activity, and development of methods for evaluating the effectiveness of interaction between science and business that allow choosing the right strategies for solving management problems are of particular relevance. The subject of the research is the indexes of innovative development of regions. The purpose of the study is to compare the indexes of innovative development of regions and identify indexes that do not have significant differences. Eight indexes describing the innovative development of Russian regions are compared. We use four of the author's indexes, published earlier: the index of technical efficiency innovative space for international patent applications TEMPZ, the index of technical efficiency innovative space for patent applications TEPZ, the index of technical efficiency innovative space issued patents TEPV and the index of technical efficiency innovative space developed for new technologies TETECH. Along with the author's indexes, four other indexes with a similar applied focus are considered, published by the Institute for Statistical Studies and Economics of Knowledge (ISSEK) in National Research University — Higher School of Economics (HSE), RIA rating, and Association of Innovative Regions of Russia (AIRR). In the course of the study, a comparative analysis of the indexes of innovative development in the space of expert-defined characteristics of regional differentiation was made. Analysis of the cosines of the angles between the indexes constructed using the beta coefficients of the regressions of these indexes on the differentiation characteristics allows us to refine the results of correlation analysis and identify a subset of indexes that are not distinguishable when solving control problems parameterized using the differentiation characteristics.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>стохастическая граница</kwd><kwd>оценка эффективности</kwd><kwd>техническая эффективность</kwd><kwd>инновационное развитие</kwd><kwd>экономика</kwd></kwd-group><kwd-group xml:lang="en"><kwd>stochastic frontier</kwd><kwd>efficiency assessment</kwd><kwd>technical efficiency</kwd><kwd>innovative development</kwd><kwd>economics</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">Айвазян С.А., Афанасьев М.Ю., Кудров А.В. 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