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Residual empirical processes and qualitatively robust GM-tests in autoregression
Moscow University Mathematics Bulletin. 2014. Vol. 69. No. 1. P. 29-32.
Boldin M. V., Esaulov D.
The local qualitative robustness of GM-tests against outliers in the autoregression model is studied in the paper. A local scheme of data contamination by independent outliers with the intensity O(n−1/2) is considered. The qualitative robustness in terms of power equicontinuity is obtained. The GM-tests asymptotically optimal in the maximin sense are constructed.
Болдин М. В., Esaulov D., Вестник Московского университета. Серия 1: Математика. Механика 2014 № 1 С. 46-50
The local qualitative robustness of GM-tests against outliers in the autoregression model is studied in the paper. A local scheme of data contamination by independent outliers with the intensity O(n -1/2) is considered. The qualitative robustness in terms of power equicontinuity is obtained. The GM-tests asymptotically optimal in the maximin sense are constructed. ...
Added: October 17, 2016
Esaulov D., Mathematical Methods of Statistics 2013 Vol. 22 No. 4 P. 333-349
In the paper a new nonparametric generalized M-test for hypotheses about the order of linear autoregression AR(p) is constructed. We also establish robustness of this test in the model of data contamination by independent additive outliers with intensity O(n−1/2). Robustness is formulated in terms of limiting power equicontinuity. Test statistics are constructed with the help of ...
Added: October 19, 2016
Esaulov D., Moscow University Mathematics Bulletin 2012 Vol. 67 No. 2 P. 79-81
The paper deals with properties of GM-estimators and GM-tests for linear hypotheses in AR(p)-processes when observations contain outliers. In particular, we obtain the marginal distribution of test statistics, which allows us to prove the robustness of these GM-tests. The scheme of data contamination by additive single outliers with the intensity O(n−1/2), where n is the data level, is ...
Added: October 19, 2016
Kryuchkov M., Rusakov S. V., Вестник Ижевского государственного технического университета 2015 № 2(66) С. 110-112
This paper describes the results of testing the neuronal technical trend indicator according to the exchange rate of Brent oil in 2014. Testing of the model was carried out on three time series, which characterized by their features. ...
Added: August 31, 2015
Ya. Yu. Nikitin, Metrika 2018 Vol. 81 No. 6 P. 609-618
We consider two scale-free tests of normality based on the characterization of the symmetric normal law by
Ahsanullah, Kibria and Shakil (2014). Both tests have an $U$-empirical structure, but the first one is of integral type, while the second one is of Kolmogorov type. We discuss the limiting behavior of the test statistics and calculate their local ...
Added: October 27, 2018
СПб. : Издательский дом Федоровой Г.В., 2015
Proceedings of the III International Conference in memory of V.I. Zubov "Stability and Control Processes (SCP 2015)". ...
Added: October 14, 2015
Tsitovich I. I., Tsitovich F. I., International Journal "Information Models and Analyses" 2013 Vol. 2 No. 1 P. 62-69
We study the problem of testing composite hypotheses versus composite alternatives when there is a slight deviation between the model and the real distribution. The used approach, which we called sub-optimal testing, implies an extension of the initial model and a modification of a sequential statistically significant test for the new model. The sub-optimal test ...
Added: July 21, 2013
Klimova N. A., European Journal of Scientific Research 2013 Vol. 112 No. 2 P. 277-288
In this study we investigate the properties the concept of innovative clusters. We discuss the problems of cluster efficiency evaluation. The work ends with a methodological proposal of formal mathematical model for cluster evaluation, based on probability hypothesis verification. Our result confirms the previously used propositions. ...
Added: November 29, 2013
Soloveychik I., Trushin D., Wiesel A., IEEE Transactions on Signal Processing 2016 Vol. 64 No. 1 P. 244-257
In this paper, we consider Tyler's robust covariance M-estimator under group symmetry constraints. We assume that the covariance matrix is invariant to the conjugation action of a unitary matrix group, referred to as group symmetry. Examples of group symmetric structures include circulant, perHermitian, and proper quaternion matrices. We introduce a group symmetric version of Tyler's ...
Added: February 20, 2018
Идентификация и оценивание обобщенной модели линейной регрессии, динамические модели временных рядов
Polyakov K. L., М. : Московский государственный институт электроники и математики, 2010
Приведены наиболее распространенные методы обнаружения автокорреляции в случайной составляющей модели линейной регрессии, методы идентификации и оценивания обобщенной модели линейной регрессии, а также методы идентификации и оценивания динамических моделей скалярных временных рядов, содержащих экзогенные переменные. Материал методических указаний основан на реальных данных и представляет собой образец выполнения курсовой работы, а также методическую основу для проведения семинарских ...
Added: March 17, 2013
Пермь : Пермский государственный национальный исследовательский университет, 2015
Статьи, включенные в настоящий сборник (вып. 26), в основном посвящены решению различных задач теоретической и прикладной математической статистики. Исследован ряд задач статистической проверки гипотез, непараметрической статистики, асимпттотической теории вероятностей и математической статистики. Обсуждаются проблемы, связанные с построением и применением ряда вероятностно-статистических моделей. Сборник рассчитан на широкий круг специалистов по теории вероятностей и математической статистике. Он ...
Added: February 2, 2016
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Grines V., Gurevich E., Pochinka O., Russian Mathematical Surveys 2017 Vol. 71 No. 6 P. 1146-1148
In the paper a Palis problem on finding sufficient conditions on embedding of Morse-Smale diffeomorphisms in topological flow is discussed. ...
Added: May 17, 2017
Okounkov A., Aganagic M., Moscow Mathematical Journal 2017 Vol. 17 No. 4 P. 565-600
We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties.
This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik Zamolodchikov and dynamical q-difference equations. ...
Added: October 25, 2018
Danilov B.R., Moscow University Computational Mathematics and Cybernetics 2013 Vol. 37 No. 4 P. 180-188
The article investigates a model of delays in a network of functional elements (a gate network) in an arbitrary finite complete basis B, where basis elements delays are arbitrary positive real numbers that are specified for each input and each set of boolean variables supplied on the other inputs. Asymptotic bounds of the form τ ...
Added: December 2, 2019
Levashov M., Кухаренко А. В., Вопросы защиты информации 2018 № 2 С. 66-71
Рассматривается статистическая модель одного этапа системы фрод-мониторинга транзакций в интернет-банкинге. Построен и рассчитан близкий к отношению правдоподобия критерий отсева мошеннических транзакций. Для выборочных распределений, полученных на выборке объема в 1 млн реальных транзакций, вычислены параметры эффективности этого критерия. ...
Added: June 14, 2018
Amerik E., Verbitsky M., / Cornell University. Series arXiv "math". 2021.
An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers of bimeromorphic contractions. It was shown that the MBM loci on deformation equivalent hyperkahler manifolds are diffeomorphic. We determine the MBM loci on a hyperkahler manifold ...
Added: April 7, 2022
Litvin Y. V., Абрамов И. В., Технологии техносферной безопасности 2016 № 66
Advanced approach to the assessment of a random time of arrival fire fighting calculation on the object of protection, the time of their employment and the free combustion. There is some quantitative assessments with the review of analytical methods and simulation ...
Added: August 27, 2016
Beklemishev L. D., Оноприенко А. А., Математический сборник 2015 Т. 206 № 9 С. 3-20
We formulate some term rewriting systems in which the number of computation steps is finite for each output, but this number cannot be bounded by a provably total computable function in Peano arithmetic PA. Thus, the termination of such systems is unprovable in PA. These systems are derived from an independent combinatorial result known as the Worm ...
Added: March 13, 2016
Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...
Added: November 16, 2020
Vyalyi M., Дискретная математика 1991 Т. 3 № 3 С. 35-45
Added: October 17, 2014