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Математические методы в теории надежности: Основные характеристики надежности и их статистический анализ
M. :
-, 2013.
Гнеденко Б. В., Беляев Ю. К., Соловьев А. Д.
Chapters
Kashtanov V., В кн.: Математические методы в теории надежности: Основные характеристики надежности и их статистический анализ.: М.: Либроком, 2013. Гл. дополнение С. 532–543.
В главе изложен обзор результатов по математической теории надежности, полученных профессором Соловьевым А.Д. после написания монографии "Математические методы в теории надежности". Описаны результаты по асимптотическим методам анализа проблем надежности, приведены идеи доказательств предельных теорем равномерного типа и многочисленные примеры построения двусторонних оценок характеристик надежности в различных моделях. Приведен полный библиографический спмсок трудов Соловьева А.Д. по ...
Added: March 4, 2014
Kashtanov V., В кн.: Математические методы в теории надежности: Основные характеристики надежности и их статистический анализ.: М.: Либроком, 2013. С. 532–544.
В этой главе дан краткий обзор результатов по математической теории надежности, полученных профессором Соловьевым А.Д. Сделан акцент на некоторых оригинальных математических результатах и глубоких математических идеях и подходах, выдвинутых и развитых им в своих работах и работах его многочисленных учеников и последователей. Оценивается роль и влияние этих математических результатов для дальнейших исследований в области математической теории надежности. ...
Added: June 20, 2024
Priority areas:
mathematics
Language:
Russian
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Medvedev V., / Series arXiv "math". 2026.
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
Added: April 3, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Gaianov N., Parusnikova A., / Cornell University. Серия math "arxiv.org". 2025.
An algebraic q-difference equation is considered. A sufficient condition for the existence of a formal power-logarithmic expansion of a solution to such an equation in the neighborhood of zero is proposed. An example of applying this sufficient condition for constructing a formal expansion of a solution to a certain q-difference analogue of the fifth Painlevé equation ...
Added: December 25, 2025
Popov V., / Series arXiv "math". 2025. No. 2502.01539.
We prove that the variety of flexes of algebraic curves
of degree 3 in the projective plane is an ideal theoretic complete
intersection in the product of a two-dimensional and a nine-dimensional projective spaces. ...
Added: December 16, 2025
Gnetov F., Konakov V., / Series arXiv "math". 2025. No. 2512.04667.
We establish a central limit theorem, a local limit theorem, and a law of large numbers for a natural
random walk on a symmetric space M of non-compact type and rank one. This class of spaces, which
includes the complex and quaternionic hyperbolic spaces and the Cayley hyperbolic plane, generalizes
the real hyperbolic space Hn. Our approach introduces ...
Added: December 5, 2025
Kazakov A., Koryakin V., Safonov K. et al., / Series arXiv "math". 2025.
The Lorenz attractor is the first example of a robustly chaotic non-hyperbolic attractor. Each orbit of such an attractor has a positive top Lyapunov exponent, and this property persists under small perturbations despite possible bifurcations of the attractor. In this paper, we study the boundary of the Lorenz attractor existence region in the Shimizu-Morioka model. ...
Added: December 4, 2025
Korolev P., Polesskiy S., Tsvetkov V. et al., М.: КноРус, 2023.
The issues of occurrence of failures of computing and ways of dealing with them, the main indicators of reliability and mathematical methods for their evaluation are considered. Considerable attention is paid to the calculations of the reliability of computing systems at the design stages. Corresponds to the latest generation of Federal State Educational Standards. For ...
Added: November 9, 2022
Plotnikova E. G., Loginova V. V., Пермь: Пермский государственный национальный исследовательский университет, 2020.
Пособие подготовлено как дополнение к учебникам по дисциплинам «Линейная алгебра и аналитическая геометрия», «Математический анализ», «Введение в математические модели экономики», «Математические модели в экономике». Издание содержит теоретический и практический материал, необходимый для изучения приложений математических понятий и методов к решению экономических задач. Главы соответствуют основным разделам учебных дисциплин.
Отличительной особенностью пособия является наличие большого объема заданий ...
Added: December 1, 2020
Климова С. Г., Mikheenkova M. A., Klimov I., Социологический журнал 2019 Т. 25 № 3 С. 117–132
This article considers the subject of interdisciplinary interaction among specialists working in exact and social sciences as a practice of exchanging ideas about social reality; mutual adaptation of these ideas; empirical verification of the universal formal logic rules applied to specific tasks of sociological research. Such formulation of the subject goes beyond the problem of ...
Added: December 9, 2019
М.: Национальный исследовательский университет "Высшая школа экономики", 2017.
В сборнике представлены отобранные оргкомитетом труды участников 8-й Международной научно-практической конференции студентов и аспирантов «Статистические методы анализа экономики и общества» из России, Беларуси, Германии, Дании, Узбекистана, Бангладеша, представляющих 37 ВУЗов из 20 городов: Владивостока, Дубны, Иваново, Йошкар-Олы, Конгенс-Люнгбю, Магнитогорска, Махачкалы, Минска, Москвы, Нижнего Новгорода, Новосибирска, Санкт-Петербурга, Саранска, Саратова, Тамбова, Ташкента, Томска, Улан-Удэ, Франкфурта-на-Майне, Челябинска. Исследования ...
Added: September 21, 2017
Tolstova Y., Voronina N., В кн.: Социология и общество: социальное неравенство и социальная справедливость (Екатеринбург , 19-21 октября 2016 года). Материалы V Всероссийского социологического конгресса.: М.: Российское общество социологов, 2016. С. 8275–8291.
Нет ...
Added: March 12, 2017
Н. Новгород: Изд-во ННГУ им. Н.И. Лобачевского, 2014.
В сборник включены материалы докладов научной конференции, проходившей
на радиофизическом факультете ННГУ с 12 по 16 мая 2014 г. Доклады охватывают
основные научные направления, развиваемые кафедрами факультета. Работы
выполнены сотрудниками, студентами, магистрантами и аспирантами ННГУ и
других организаций радиофизического и технического профиля. Печатается по
решению Ученого Совета радиофизического факультета ННГУ в рамках
выполнения Программы развития Нижегородского государственного университета
им. Н.И. Лобачевского как ...
Added: January 25, 2017
St. Petersburg: Graduate School of Management, St. Petersburg University, 2015.
Selected papers presentad at the 8th International Conference "Game Theory and Management", St. Peteresburg, 2014.The presented papers belong to the field of game theory and its applications to management. ...
Added: September 22, 2015