On an information-type inequality for the Hellinger process

A. A. Gushchin

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On an information-type inequality for the Hellinger process

P. 83–109.

Let $X be a semimartingale which is locally square integrable and admitting the canonical decompositions X=M+A and X=M ' +A ' with respect to measures P and P ' . Let γ be the density of A-A ' with respect to C=(〈M〉+〈M ' 〉) in the Lebesgue decomposition. Then there is a version h of the Hellinger process h(1/2;P,P ' ) such that (1- Δh) -2 ·h⪰(1/8)γ 2 ·CP- and P ' -a.s. This inequality is related with a generalization of the Cramér-Rao inequality to the case of filtered space. The author gives some applications to a continuous-time linear regression model as well as to a discrete-time autoregression model with martingale errors. Language: English Keywords: linear regression semimartingales Hellinger process Cramér-Rao inequality In book Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26-30, 1995 Singapore: World Scientific, 1996. Similar publications Прогнозирование цен на золото с использованием алгоритмов нейросетей Soldatova A., Финансы, деньги, инвестиции 2023 № 4 С. 9–15 The price of gold is the most important economic indicator. Expectations of rising inflation and higher key rates from central banks are driving investor interest in gold around the world. Given the increasing number of factors influencing the dynamics of the gold rate in the world, forecasting gold prices requires new methods and modern technological ... Added: July 8, 2025 Моделирование оплаты труда учителей в условиях неоднородности социально-экономического состояния регионов Богданова Т. К., Жукова Л. В., В кн.: XI-я международная конференция «Многомерный статистический анализ, эконометрика и моделирование реальных процессов» имени С.А. Айвазяна.: М.: ЦЭМИ РАН, 2024. С. 41–44. The paper is devoted to the analysis and forecasting of the average salary of teachers. For 84 regions on the basis of their socio-demographic characteristics according to Rosstat data using Ward's method we obtained a two-cluster solution, which allowed us to identify quite strong differences in the level of wages, GRP per capita, level of ... Added: October 4, 2024 Поиск паттернов в динамике протестных кампаний: вычислительное моделирование и эмпирический анализ Жеглов С. А., Социология: методология, методы, математическое моделирование 2022 № 54-55 С. 129–187 In most of current papers devoted to the analysis of protest-repression nexus, the research
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Added: March 16, 2013 About About Key Figures & Facts Sustainability at HSE University Faculties & Departments International Partnerships Faculty & Staff HSE Buildings HSE University for Persons with Disabilities Public Enquiries Studies Admissions Programme Catalogue Undergraduate Graduate Exchange Programmes Summer University Summer Schools Semester in Moscow Business Internship Research International Laboratories Research Centres Research Projects Monitoring Studies Conferences & Seminars Academic Jobs Yasin (April) International Academic Conference on Economic and Social Development Media & Resources Publications by staff HSE Journals Publishing House iq.hse.ru: commentary by HSE experts Library Economic & Social Data Archive Video HSE Repository of Socio-Economic Information HSE1993–2026 Contacts Copyright Privacy Policy Site Map Edit window.__INITIAL_STATE__={"config":{"widgetPrefixURL":"\u002F","widgetPostfixURL":"\u002F","prefixURL":"\u002F","domain":"publications.hse.ru","hseURL":"https:\u002F\u002Fwww.hse.ru","serverBaseURL":"http:\u002F\u002Flocalhost:5000","clientBaseURL":"https:\u002F\u002Fpublications.hse.ru","ruVersion":false},"useTemplate":1,"chapter":{"id":"96751644","title":"On an information-type inequality for the Hellinger process","href":"\u002Fchapters\u002F96751644","type":"CHAPTER","isbn":"","issn":"","eissn":"","status":1,"is_hidden":0,"createdAt":"2013-10-08T09:44:16.089Z","creator":{"id":"47312267","title":{"ru":"\u003Ca target=\"_blank\" href=\"\u002Forg\u002Fpersons\u002F47312267\"\u003EШабанов Я. Б.\u003C\u002Fa\u003E","en":null}},"description":{"pages":{"publ":"P. 83–109.","en":"P. 83–109.","ru":"С. 83–109."},"short":{"publ":", in: Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26-30, 1995.: Singapore: World Scientific, 1996. P. 83–109.","en":", in : Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26-30, 1995. : Singapore: World Scientific, 1996. P. 83–109.","ru":"В кн. : Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26-30, 1995. : Сингапур: World Scientific, 1996. С. 83–109."},"main":"Gushchin A. A. , in : Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26-30, 1995. : Singapore: World Scientific, 1996. 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Gushchin"},"altName":"","otherName":"","properties":{"scopus":"https:\u002F\u002Fwww.scopus.com\u002Fauthid\u002Fdetail.uri?partnerID=HzOxMe3b&authorId=7006190356&origin=inward","rinc":"https:\u002F\u002Felibrary.ru\u002Fauthor_profile.asp?authorid=5329","orcid":"https:\u002F\u002Forcid.org\u002F0000-0002-0020-7496"},"worknow":true,"authorInstitution":false,"verifyStatus":{"articleCollections":false,"hasAttr":false,"attr":{"verified":false,"affiliation":false}}}],"leader":null,"resp_editor":null,"sci_editor":null,"cmn_editor":null,"translator":null,"make_editor":null,"trn_editor":null},"year":1996,"book":{"id":"96751761","title":"Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26-30, 1995","href":"\u002Fbooks\u002F96751761","isbn":"","issn":"","eissn":"","authorsByType":{"author":null},"year":1996,"documents":{"COVER":null},"description":{"pages":{"publ":".","en":".","ru":"."},"short":{"publ":"Singapore: World Scientific, 1996.","en":"Singapore: World Scientific, 1996","ru":"Сингапур: World Scientific, 1996"},"main":"."}},"annotation":{"ru":"\u003Cp\u003E\n\tLet \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EX be a semimartingale which is locally square integrable and admitting the canonical decompositions \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EX=M+A and \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EX=M ' +A ' with respect to measures \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP and \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP ' . Let \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003Eγ be the density of \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EA-A ' with respect to \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EC=(〈M〉+〈M ' 〉) in the Lebesgue decomposition. Then there is a version \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003Eh of the Hellinger process \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003Eh(1\u002F2;P,P ' ) such that \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003E(1-\u003Cmi\u003EΔh) -2 ·h⪰(1\u002F8)γ 2 ·C \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP- and \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP ' -a.s. This inequality is related with a generalization of the Cramér-Rao inequality to the case of filtered space. The author gives some applications to a continuous-time linear regression model as well as to a discrete-time autoregression model with martingale errors.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003E\n\tLet \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EX be a semimartingale which is locally square integrable and admitting the canonical decompositions \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EX=M+A and \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EX=M ' +A ' with respect to measures \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP and \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP ' . Let \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003Eγ be the density of \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EA-A ' with respect to \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EC=(〈M〉+〈M ' 〉) in the Lebesgue decomposition. Then there is a version \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003Eh of the Hellinger process \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003Eh(1\u002F2;P,P ' ) such that \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003E(1-\u003Cmi\u003EΔh) -2 ·h⪰(1\u002F8)γ 2 ·C \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP- and \u003Cspandata-original-title=\"\"\u003E\u003Cmath\u003EP ' -a.s. This inequality is related with a generalization of the Cramér-Rao inequality to the case of filtered space. The author gives some applications to a continuous-time linear regression model as well as to a discrete-time autoregression model with martingale errors.\u003C\u002Fp\u003E\n"},"priorityTarget":[],"researchTarget":[],"keywords":[{"id":"77089300","title":"linear regression"},{"id":"96626090","title":"semimartingales"},{"id":"96751649","title":"Hellinger process"},{"id":"96751653","title":"Cramér-Rao inequality"}],"language":{"id":"20592","title":{"ru":"английский","en":"English"},"name":"en"},"related":[{"id":"1064710423","title":"Прогнозирование цен на золото с использованием алгоритмов нейросетей","createdAt":"2025-07-07T21:14:19.122Z","authorsByType":{"author":[{"id":"565331","href":"\u002Forg\u002Fpersons\u002F565331","title":{"ru":"Солдатова А. О.","en":"Soldatova A."},"altName":"","otherName":""}]},"year":2023,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003E\u003Cem\u003EСтоимость золота - важнейший экономический индикатор. \u003C\u002Fem\u003E\u003Cem\u003EОжидания роста инфляции и повышения ключевых ставок со стороны Центральных банков формируют интерес инвесторов к золоту во всем мире. С учетом все большего числа факторов, оказывающих влияние на динамику курса золота в мире, прогнозирование цен на золото требует новых методов и современных технологических решений. В статье представлен обзор методов прогнозирования цен на золото \u003C\u002Fem\u003E\u003Cem\u003Eс использованием алгоритмов нейросетей. Рассмотрены возможности инвестирования в золото: приобретение золотых слитков, открытие обезличенных металлических счетов, покупка инвестиционных золотых монет, золотых сертификатов, капиталовложения в акции золотодобывающих компаний, паевые инвестиционные фонды на золото, другие биржевые инструменты. \u003C\u002Fem\u003E\u003C\u002Fp\u003E\n","en":"\u003Cp\u003EThe price of gold is the most important economic indicator. Expectations of rising inflation and higher key rates from central banks are driving investor interest in gold around the world. Given the increasing number of factors influencing the dynamics of the gold rate in the world, forecasting gold prices requires new methods and modern technological solutions. The article provides an overview of gold price forecasting methods using neural network algorithms. The possibilities of investing in gold are considered: purchasing gold bars, opening impersonal metal accounts, buying investment gold coins, gold certificates, investing in shares of gold mining companies, mutual investment funds for gold, and other exchange instruments.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Финансы, деньги, инвестиции 2023 № 4 С. 9–15","en":"Финансы, деньги, инвестиции 2023 No. 4 P. 9–15","ru":"Финансы, деньги, инвестиции 2023 № 4 С. 9–15"},"main":"Солдатова А. О. Прогнозирование цен на золото с использованием алгоритмов нейросетей \u002F\u002F Финансы, деньги, инвестиции. 2023. № 4. С. 9–15."}},{"id":"969715228","title":"Моделирование оплаты труда учителей в условиях неоднородности социально-экономического состояния регионов","createdAt":"2024-10-03T22:49:01.170Z","authorsByType":{"author":[{"id":"67631","href":"\u002Forg\u002Fpersons\u002F67631","title":{"ru":"Богданова Т. К.","en":"Bogdanova T."},"altName":"Богданова Т. К.","otherName":""},{"id":"969715309","href":null,"title":{"ru":"Л. В. Ж.","en":"Жукова Л. В."},"altName":"Жукова Л. В.","otherName":""}]},"year":2024,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003EРабота посвящена анализу и прогнозированию средней зарплаты учителей. Для 84-х регионов на основе их социо-демографических характеристик по данным Росстата с использованием метода Уорда получено двух кластерное решение, позволившее выявить достаточно сильные различия по уровню заработной платы, ВРП на душу населения, уровню потребления и удельному весу молодежи нетрудоспособного возраста. Результаты проведенного статистического анализа подтверждают, что в настоящее время зарплата учителей практически полностью определяется социально-экономическим развитием региона. Но, чтобы сохранить наиболее квалифицированные кадры в регионах РФ, при формировании заработной платы, в первую очередь, должен учитываться уровень квалификации учителя. Это позволит сократить дифференциацию в уровне оплаты труда учителей.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003EThe paper is devoted to the analysis and forecasting of the average salary of teachers. For 84 regions on the basis of their socio-demographic characteristics according to Rosstat data using Ward's method we obtained a two-cluster solution, which allowed us to identify quite strong differences in the level of wages, GRP per capita, level of consumption and the share of young people of working age. The results of the statistical analysis confirm that currently teachers' salaries are almost completely determined by the socio-economic development of the region. But in order to retain the most qualified personnel in the regions of the Russian Federation, the teacher's qualification level should be taken into account in the formation of wages, first of all. This will reduce the differentiation in the level of teachers' remuneration.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"В кн.: XI-я международная конференция «Многомерный статистический анализ, эконометрика и моделирование реальных процессов» имени С.А. Айвазяна.: М.: ЦЭМИ РАН, 2024. С. 41–44.","en":", in : XI-я международная конференция «Многомерный статистический анализ, эконометрика и моделирование реальных процессов» имени С.А. Айвазяна. : M.: -, 2024. P. 41–44.","ru":"В кн. : XI-я международная конференция «Многомерный статистический анализ, эконометрика и моделирование реальных процессов» имени С.А. Айвазяна. : М.: ЦЭМИ РАН, 2024. С. 41–44."},"main":"Богданова Т. К., Л. В. Ж. В кн. : XI-я международная конференция «Многомерный статистический анализ, эконометрика и моделирование реальных процессов» имени С.А. Айвазяна. : М.: ЦЭМИ РАН, 2024. С. 41–44."}},{"id":"855912357","title":"Поиск паттернов в динамике протестных кампаний: вычислительное моделирование и эмпирический анализ","createdAt":"2023-08-29T18:45:24.444Z","authorsByType":{"author":[{"id":"137299043","href":null,"title":{"ru":"Жеглов С. А.","en":null},"altName":"","otherName":""}]},"year":2022,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003EВ большинстве работ, посвященных анализу взаимодействия протестующих и властей, дизайн исследования упускает динамический аспект этого взаимодействия, что представляется методологически неверным. Анализ динамики позволяет выявить роль различных факторов, влияющих на протекание такого конфликта. Многообразие различных динамик численности протестующих и динамик применения репрессий порождает многообразие сценариев развития протестной кампании. В связи с этим в данной работе ставится вопрос о выявлении динамических паттернов, при этом мы рассматриваем как эмпирические, уже состоявшиеся в реальных протестах, сценарии, так и «идеальные», т.е. возникающие в теории и способные служить в качестве ориентиров при анализе реальных. Для получения «идеальных» сценариев была разработана теоретическая и математическая модель с различными стратегиями реакций властей на протестующих, которая была нами имплементирована в существующую вычислительную модель протестной мобилизации. На основе данных, полученных в ходе имитационного моделирования, во-первых, линейной и логистической регрессиями были оценены эффекты различных механизмов принятия решений на выживаемость протестов, а, во-вторых, с помощью применения различных методов кластерногоанализа временных рядов мы обнаружили ряд паттернов. Те же методы кластерного анализа были применены повторно на эмпирических данных для верификации, которая окончилась успешно.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003EIn most of current papers devoted to the analysis of protest-repression nexus, the research\u003Cbr\u002F\u003E\ndesign misses the dynamic nature of this nexus, which seems methodologically incorrect. The\u003Cbr\u002F\u003E\nanalysis of the dynamics allows us to identify the role of various factors influencing the course of\u003Cbr\u002F\u003E\nthis conflict. The variety of different dynamics of the number of protesters and the dynamics of the\u003Cbr\u002F\u003E\nuse of repression gives rise to a variety of scenarios for the development of a protest campaign. In\u003Cbr\u002F\u003E\nthis regard, this paper raises the question of identifying dynamic patterns. At the same time, we\u003Cbr\u002F\u003E\nconsider both empirical scenarios that have already taken place in real protests, as well as “ideal”,\u003Cbr\u002F\u003E\ni.e. arising in theory and capable of serving as guidelines in the analysis of real ones.\u003Cbr\u002F\u003E\nTo obtain "ideal" scenarios, a theoretical and mathematical model was developed with\u003Cbr\u002F\u003E\nvarious strategies for the reactions of the authorities to the protesters, which we implemented into\u003Cbr\u002F\u003E\nthe existing computational model of protest mobilization. Based on the data obtained in the course\u003Cbr\u002F\u003E\nof computer simulations, firstly, by linear and logistic regressions, the effects of various decision-\u003Cbr\u002F\u003E\nmaking mechanisms on the survival of protests were evaluated, and, secondly, using various\u003Cbr\u002F\u003E\nmethods of time series cluster analysis, we discovered a number of patterns. For verification, the\u003Cbr\u002F\u003E\nsame methods of cluster analysis were applied repeatedly on empirical data.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Социология: методология, методы, математическое моделирование 2022 № 54-55 С. 129–187","en":"Социология: методология, методы, математическое моделирование 2022 No. 54-55 P. 129–187","ru":"Социология: методология, методы, математическое моделирование 2022 № 54-55 С. 129–187"},"main":"Жеглов С. А. Поиск паттернов в динамике протестных кампаний: вычислительное моделирование и эмпирический анализ \u002F\u002F Социология: методология, методы, математическое моделирование. 2022. № 54-55. С. 129–187."}},{"id":"476515444","title":"Comparing Ridge and LASSO estimators for data analysis","createdAt":"2021-06-08T16:17:35.183Z","authorsByType":{"author":[{"id":"473122886","href":null,"title":{"ru":"Мелкумова Л. Э.","en":""},"altName":"","otherName":""},{"id":"476515451","href":null,"title":{"ru":"S. Ya. S.","en":"Shatskikh S. Y."},"altName":"Shatskikh S. Y.","otherName":""}]},"year":2017,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EThis paper is devoted to the comparison of Ridge and LASSO estimators. Test data is used to analyze advantages of each of the two regression analysis methods. All the required calculations are performed using the R software for statistical computing.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":", in: Procedia EngineeringVol. 201: 3rd International Conference “Information Technology and Nanotechnology\", ITNT-2017, 25-27 April 2017, Samara, Russia.: Elsevier, 2017. P. 746–755.","en":", in : Procedia Engineering. Vol. 201: 3rd International Conference “Information Technology and Nanotechnology\", ITNT-2017, 25-27 April 2017, Samara, Russia.: Elsevier, 2017. P. 746–755.","ru":"В кн. : Procedia Engineering. Т. 201: 3rd International Conference “Information Technology and Nanotechnology\", ITNT-2017, 25-27 April 2017, Samara, Russia.: Elsevier, 2017. С. 746–755."},"main":"Мелкумова Л. Э., Shatskikh S. Y. , in : Procedia Engineering. Vol. 201: 3rd International Conference “Information Technology and Nanotechnology\", ITNT-2017, 25-27 April 2017, Samara, Russia.: Elsevier, 2017. P. 746–755."}},{"id":"315267187","title":"Комплексная модель прогнозирования стоимости жилой недвижимости на вторичном рынке","createdAt":"2019-10-31T23:07:52.206Z","authorsByType":{"author":[{"id":"67631","href":"\u002Forg\u002Fpersons\u002F67631","title":{"ru":"Богданова Т. К.","en":"Bogdanova T."},"altName":"","otherName":""},{"id":"208519013","href":null,"title":{"ru":"Полторак А. И.","en":null},"altName":"","otherName":""}]},"year":2019,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003EРазработана комплексная модель прогнозирования стоимости жилой недвижимости на вторичном рынке, включающая три подмодели – модель прогнозирования уровня потребности населения в жилье на основе региональных данных, модель прогнозирования комфортности жилья на основе местных данных, и модель прогнозирования стоимости единицы жилой недвижимости на основе факторов объекта и входных переменных, являющихся результатами прогноза предыдущих моделей.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003EA complex model of forecasting the cost of residential real estate in the secondary market, including three submodels – a model of forecasting the level of population needs for housing based on regional data, a model of forecasting the comfort of housing based on local data, and a model of forecasting the cost of a unit of residential real estate based on the factors of the object and input variables that are the results of the forecast of previous models.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"В кн.: Системное моделирование социально-экономических процессов Международная научная школа - семинар имени академика С.С. Шаталина. 42-е заседание.: Истоки, 2019. С. 32–32.","en":", in : Системное моделирование социально-экономических процессов Международная научная школа - семинар имени академика С.С. Шаталина. 42-е заседание. : Истоки, 2019. P. 32–32.","ru":"В кн. : Системное моделирование социально-экономических процессов Международная научная школа - семинар имени академика С.С. Шаталина. 42-е заседание. : Истоки, 2019. С. 32–32."},"main":"Богданова Т. К., Полторак А. И. В кн. : Системное моделирование социально-экономических процессов Международная научная школа - семинар имени академика С.С. Шаталина. 42-е заседание. : Истоки, 2019. С. 32–32."}},{"id":"315053112","title":"Economic Consequences of the Development of Digital Technologies in Russia","createdAt":"2019-10-30T05:14:34.510Z","authorsByType":{"author":[{"id":"3877949","href":"\u002Forg\u002Fpersons\u002F3877949","title":{"ru":"Архипова М. Ю.","en":"Arkhipova M."},"altName":"","otherName":""},{"id":"160996156","href":null,"title":{"ru":"Сербова Ю. О.","en":null},"altName":"","otherName":""}]},"year":2019,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EThe article examines the literature, which determinates the factors affecting Gross Regional Product as well as broadens the analysis to different regions of the Russian Federation. The regressions modeling and cluster analysis is used for the issue. Two linear regression models are constructed based on the indicators of the Federal Statistics Survey databases for the year 2015 as well as the index of readiness of regions of Russia for the information society (ICT) is used. After the estimation the two clusters based on the values of sub-indexes were found, presenting the typical and atypical behavior towards values of sub-indexes.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":", in: Proceedings of the Third Workshop on Computer Modelling in Decision Making (CMDM 2018)Issue 85: Advances in Computer Science Research.: Atlantis Press, 2019. Ch. 10 P. 56–60.","en":", in : Proceedings of the Third Workshop on Computer Modelling in Decision Making (CMDM 2018). Issue 85: Advances in Computer Science Research.: Atlantis Press, 2019. Ch. 10. P. 56–60.","ru":"В кн. : Proceedings of the Third Workshop on Computer Modelling in Decision Making (CMDM 2018). Вып. 85: Advances in Computer Science Research.: Atlantis Press, 2019. Гл. 10. С. 56–60."},"main":"Arkhipova M., Сербова Ю. О. , in : Proceedings of the Third Workshop on Computer Modelling in Decision Making (CMDM 2018). Issue 85: Advances in Computer Science Research.: Atlantis Press, 2019. Ch. 10. P. 56–60."}},{"id":"239592486","title":"Modeling Human Perception of Image Quality","createdAt":"2019-02-05T16:02:04.181Z","authorsByType":{"author":[{"id":"44493281","href":"\u002Fstaff\u002Fpyanyh","title":{"ru":"Пьяных О. С.","en":"Pyanikh O."},"altName":"","otherName":""},{"id":"247448699","href":null,"title":{"ru":"Ksenia P.","en":"Pospelova K."},"altName":"Pospelova K.","otherName":""},{"id":"247448701","href":null,"title":{"ru":"Nicholas K.","en":"Kamboj N."},"altName":"Kamboj N.","otherName":""}]},"year":2018,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EHumans can determine image quality instantly and intuitively, but the mechanism of human perception of image quality is unknown. The purpose of this work was to identify the most important quantitative metrics responsible for the human perception of digital image quality. Digital images from two different datasets—CT tomography (MedSet) and scenic photographs of trees (TreeSet)—were presented in random pairs to unbiased human viewers. The observers were then asked to select the best-quality image from each image pair. The resulting human-perceived image quality (HPIQ) ranks were obtained from these pairwise comparisons with two different ranking approaches. Using various digital image quality metrics reported in the literature, we built two models to predict the observed HPIQ rankings, and to identify the most important HPIQ predictors. Evaluating the quality of our HPIQ models as the fraction of falsely predicted pairwise comparisons (inverted image pairs), we obtained 70–71% of correct HPIQ predictions for the first, and 73–76%for the second approach. Taking into account that 10–14% of inverted pairs were already present in the original rankings, limitations of the models, and only a few principal HPIQ predictors used, we find this result very satisfactory. We obtained a small set of most significant quantitative image metrics associated with the human perception of image quality. This can be used for automatic image quality ranking, machine learning, and quality-improvement algorithms.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Journal of Digital Imaging 2018 Vol. 31 No. 6 P. 768–775","en":"Journal of Digital Imaging 2018 Vol. 31 No. 6 P. 768–775","ru":"Journal of Digital Imaging 2018 Т. 31 № 6 С. 768–775"},"main":"Pyanikh O., Pospelova K., Kamboj N. Modeling Human Perception of Image Quality \u002F\u002F Journal of Digital Imaging. 2018. Vol. 31. No. 6. P. 768–775."}},{"id":"213539010","title":"Quadratic Approximation for Log-Likelihood Ratio Processes","createdAt":"2018-01-08T20:14:46.922Z","authorsByType":{"author":[{"id":"93131129","href":"\u002Forg\u002Fpersons\u002F93131129","title":{"ru":"Гущин А. А.","en":"Gushchin A. A."},"altName":"Alexander Gushchin","otherName":""},{"id":"221935449","href":null,"title":{"ru":"Esko V.","en":"Valkeila E."},"altName":"Valkeila E.","otherName":""}]},"year":2017,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":null,"en":"\u003Cp\u003EWe consider a sequence of general filtered statistical models with a finite-dimensional parameter. It is tacitly assumed that a proper rescaling of the parameter space is already done (so we deal with a local parameter) and also time rescaling is done if necessary. Our first and main purpose is to give sufficient conditions for the existence of certain uniform in time linear–quadratic approximations of log-likelihood ratio processes. Second, we prove general theorems establishing LAN, LAMN and LAQ properties for these models based on these linear–quadratic approximations. Our third purpose is to prove three theorems related to the necessity of the conditions in our main result. These theorems assert that these conditions are necessarily satisfied if (1) an approximation of a much more general form exists and a (necessary) condition of asymptotic negligibility of jumps of likelihood ratio processes holds, or (2) we have LAN property at every moment of time and the limiting models are continuous in time, or (3) we have LAN property, Hellinger processes are asymptotically degenerate at the terminal times, and the condition of asymptotic negligibility of jumps holds.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":", in: Modern problems of stochastic analysis and statistics - Selected contributions in honor of Valentin Konakov.: Heidelberg: Springer, 2017. P. 179–215.","en":", in : Modern problems of stochastic analysis and statistics - Selected contributions in honor of Valentin Konakov. : Heidelberg: Springer, 2017. P. 179–215.","ru":"В кн. : Modern problems of stochastic analysis and statistics - Selected contributions in honor of Valentin Konakov. : Хайдельберг: Springer, 2017. С. 179–215."},"main":"Gushchin A. A., Valkeila E. , in : Modern problems of stochastic analysis and statistics - Selected contributions in honor of Valentin Konakov. : Heidelberg: Springer, 2017. P. 179–215."}},{"id":"172499707","title":"Подход к заполнению пропусков в обучающих выборках для компьютерного конструирования неорганических соединений","createdAt":"2016-01-23T23:29:22.884Z","authorsByType":{"author":[{"id":"161322730","href":null,"title":{"ru":"Дударев В. А.","en":"Dudarev V."},"altName":"","otherName":""}]},"year":2014,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003E\n\tВ статье предлагается методика заполнения пропусков в значениях свойств химических элементов в обучающих выборках для компьютерного конструирования неорганических соединений, основанная на построении линейной регрессии с учетом Периодического закона.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003E\n\tThe article is devoted to questions of accumulated data usage to find out regularities by means of pattern recognition methods that allow predicting formation of not synthesized substances and estimating its properties. The formal task of computer-aided inorganic compounds design is stated. An approach to reproduce of missing data in learning samples for computer-aided inorganic compounds design is proposed. It is based on combination of linear regression and interpolation taking into consideration the problem domain - inorganic chemistry. The approach is more powerful than methods of missed data reproduction used currently in information-analytical system for inorganic compounds design running at IMET RAS.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Вестник МИТХТ 2014 Т. 9 № 1 С. 73–75","en":"Вестник МИТХТ 2014 Vol. 9 No. 1 P. 73–75","ru":"Вестник МИТХТ 2014 Т. 9 № 1 С. 73–75"},"main":"Дударев В. А. Подход к заполнению пропусков в обучающих выборках для компьютерного конструирования неорганических соединений \u002F\u002F Вестник МИТХТ. 2014. Т. 9. № 1. С. 73–75."}},{"id":"167624258","title":"Сидоровых А.С. Оценка влияния транспортной доступности на цены недвижимости\u002F\u002F Прикладная эконометрика. 2015. № 37 (1). С. 43-56","createdAt":"2015-12-05T16:03:30.323Z","authorsByType":{"author":[{"id":"46740852","href":null,"title":{"ru":"Сидоровых А. С.","en":"Sidorovikh A."},"altName":"","otherName":""}]},"year":2015,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003E\n\tСтатья посвящена выявлению ключевых детерминант стоимости вторичного жилья в городе Перми, при этом особое внимание уделяется показателям транспортной инфраструктуры. Обсуждается вопрос моделирования транспортной доступности. В результате оценки гедонистической модели ценообразования выявлено, что наибольшее влияние на цены жилья в Перми оказывает площадь квартиры, факт ее нахождения на первом этаже, а также число маршрутов общественного транспорта в микрорайоне и время на дорогу до центра города. \u003C\u002Fp\u003E\n","en":"\u003Cp\u003E\n\tThe paper analyzes the key determinants of real estate prices in Perm, with special attention to transport accessibility indicators. The issue of transport accessibility modeling is discussed. The valuation of price hedonic model revealed that housing prices in Perm are affected mostly by the area of the apartment, the fact of its location on the first floor, number of public transport routes\u003Cb\u003E \u003C\u002Fb\u003Ein the district, and time to the city centre\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Прикладная эконометрика 2015 Т. 37 № 1 С. 43–56","en":"Applied Econometrics 2015 Vol. 37 No. 1 P. 43–56","ru":"Прикладная эконометрика 2015 Т. 37 № 1 С. 43–56"},"main":"Сидоровых А. С. Сидоровых А.С. Оценка влияния транспортной доступности на цены недвижимости\u002F\u002F Прикладная эконометрика. 2015. № 37 (1). С. 43-56 \u002F\u002F Прикладная эконометрика. 2015. Т. 37. № 1. С. 43–56."}},{"id":"151704880","title":"Stochastic Calculus for Quantitative Finance","createdAt":"2015-06-18T12:44:27.920Z","authorsByType":{"author":[{"id":"93131129","href":"\u002Forg\u002Fpersons\u002F93131129","title":{"ru":"Гущин А. А.","en":"Gushchin A. A."},"altName":"","otherName":""}]},"year":2015,"publisher":{"title":{"ru":"ISTE, Elsevier","en":"ISTE, Elsevier"}},"annotation":{"ru":"\u003Cp\u003E\n\tIn 1994 and 1998 F. Delbaen and W. Schachermayer published two breakthrough papers in which they proved continuous-time versions of the Fundamental Theorem of Asset Pricing. This is one of the most remarkable achievements in modern Mathematical Finance which led to intensive investigations in many applications of the arbitrage theory on a mathematically rigorous basis of stochastic calculus. \u003C\u002Fp\u003E\n\u003Cp\u003E\n\tThis book provides the reader with a detailed understanding of all necessary attributes in stochastic calculus that are required for applications of the theory of stochastic integration in Mathematical Finance, in particular, in the arbitrage theory. The exposition follows the traditions of the Strasbourg school. \u003C\u002Fp\u003E\n","en":"\u003Cp\u003E\n\tIn 1994 and 1998 F. Delbaen and W. Schachermayer published two breakthrough papers in which they proved continuous-time versions of the Fundamental Theorem of Asset Pricing. This is one of the most remarkable achievements in modern Mathematical Finance which led to intensive investigations in many applications of the arbitrage theory on a mathematically rigorous basis of stochastic calculus. \u003C\u002Fp\u003E\n\u003Cp\u003E\n\tThis book provides the reader with a detailed understanding of all necessary attributes in stochastic calculus that are required for applications of the theory of stochastic integration in Mathematical Finance, in particular, in the arbitrage theory. The exposition follows the traditions of the Strasbourg school. \u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"L., Kidlington: ISTE, Elsevier, 2015.","en":"L., Kidlington: ISTE, Elsevier, 2015","ru":"Лондон, Кидлингтон: ISTE, Elsevier, 2015"},"main":"Gushchin A. A."}},{"id":"112432088","title":"Теория вероятностей и статистика. Экспериментальное учебное пособие для 10-11 классов общеобразовательных учреждений.","createdAt":"2014-02-08T18:08:58.538Z","authorsByType":{"author":[{"id":"135897","href":"\u002Forg\u002Fpersons\u002F135897","title":{"ru":"Макаров А. А.","en":"Makarov A. A."},"altName":"","otherName":""},{"id":"115541464","href":null,"title":{"ru":"Юрий Николаевич Т.","en":"Тюрин Ю. Н."},"altName":"Тюрин Ю. Н.","otherName":""},{"id":"115541466","href":null,"title":{"ru":"Иван Ростиславовоич В.","en":"Высоцкий И. Р."},"altName":"Высоцкий И. Р.","otherName":""},{"id":"115541468","href":null,"title":{"ru":"Иван Валерьевич Я.","en":"Ященко И. В."},"altName":"Ященко И. В.","otherName":""}]},"year":2014,"publisher":{"title":{"ru":"МЦНМО","en":"MCCME"}},"annotation":{"ru":"\u003Cp\u003E\n\tЭкспериментальное учебное пособие по основам теории вероятностейрасчитано на учащихся 10 -11 классов общеобразовательных учреждений и студентов нематематических специальностей вузов. Учебное пособие удовлетворяет образовательным стандартам по математике, включая ФГОС нового поколения.\u003C\u002Fp\u003E\n\u003Cp\u003E\n\tМожет использоваться незавимо от других учебных пособий, поскольку содержит весь необходимый базовый материал, либо как продложение учебника "Теория вероятностей и статистика" для основной школы (М.: МЦНМО, 2008), написанного теми же авторами. Книга предназанчена для первичного знакомства учащихся со случайными величинами и их характеристиками, приложениями теории вероятностей к социологии, задачам страхования и т.п. Может использоваться в качестве дополнительного пособия для студентов нематематических специальностей.\u003C\u002Fp\u003E\n","en":null},"description":{"short":{"publ":"М.: МЦНМО, 2014.","en":"M.: MCCME, 2014","ru":"М.: МЦНМО, 2014"},"main":"Макаров А. А., Юрий Николаевич Т., Иван Ростиславовоич В. и др."}},{"id":"96876370","title":"On quasi-score processes","createdAt":"2013-10-09T09:00:10.717Z","authorsByType":{"author":[{"id":"93131129","href":"\u002Forg\u002Fpersons\u002F93131129","title":{"ru":"Гущин А. А.","en":"Gushchin A. A."},"altName":"","otherName":""}]},"year":1992,"publisher":{"title":{"ru":null,"en":null}},"annotation":{"ru":"\u003Cp\u003E\n\tWe consider some aspects of quasi-likelihood methods used in estimation of parameters of stochastic processes.\u003C\u002Fp\u003E\n","en":"\u003Cp\u003E\n\tWe consider some aspects of quasi-likelihood methods used in estimation of parameters of stochastic processes.\u003C\u002Fp\u003E\n"},"description":{"short":{"publ":"Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1992 Т. 17 № 1 С. 29–38","en":"Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1992 Vol. 17 No. 1 P. 29–38","ru":"Annales Academiae Scientiarum Fennicae. Series A I. 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