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Optimal Multiple Decision Statistical Procedure for Inverse Covariance Matrix
Springer Optimization and Its Applications. 2014. Vol. 87. P. 205–216.
Problem of construction of the market graph as a multiple decision statistical problem is considered. Detailed description of a optimal unbiased multiple decision statistical procedure is given. This procedure is constructed using the Lehmann’s theory of multiple decision statistical procedures and the conditional tests of the Neyman structures. The equations for thresholds calculation for the tests of the Neyman structure are presented and analyzed.
Priority areas:
mathematics
Language:
English
Keywords: multiple decision statistical proceduresmarket graphunbiased statistical teststests of the Neyman structuresgenerating hypothesisexponential familyграф рынка, несмещенные статистические тесты, тесты структуры Неймана, процедуры со многими решениями, порождающие гипотезы, экспоненциальное семейство
Malekova D. K., Veselitskaya N., Shashnov S. A., Форсайт 2026 Т. 20 № 3 С. 6–24
Technological development dynamics underscore the relevance of a comparative analysis of national priorities in science and innovation. This article identifies and typologizes promising technologies enshrined in the development strategies of 19 countries: the technological leaders—the United States, Japan, Germany, the United Kingdom, South Korea, Canada, Australia, Spain, and Italy—and the countries of the Global South—Brazil, ...
Added: September 18, 2026
Ероховец Николай Юрьевич, Математический сборник 2026 Т. 217 № 5 С. 45–89
Toric topology assigns to each simple convex n-polytope P with m facets an n-dimensional real moment-angle manifold RZP with a canonical action of Zm2=(Z/2Z)m. We consider (not necessarily free) actions of subgroups H⊂Zm2 on RZP. The orbit space N(P,H)=RZP/H carries an action of Zm2/H. For general n we introduce the notion of Hamiltonian C(n,k)-subcomplex in the boundary of an ...
Added: September 17, 2026
Kuninets A., Malygina E., Cryptography and Communications 2026
In this paper, we determine explicit bases for Riemann–Roch spaces associated with various families of elliptic codes. We establish the feasibility and provide exact algorithms for constructing bases of Riemann–Roch spaces corresponding to arbitrary divisors on elliptic curves, including the non-effective case. These results are subsequently applied to derive bases for quasi-cyclic elliptic codes and ...
Added: September 17, 2026
Ионцев М. А., Экономика и предпринимательство 2025 № 9(182) С. 478–485
В статье исследуются факторы, влияющие на трансграничные потоки наиболее популярных цифровых валют (Bitcoin и Ether) и иностранных цифровых прав (Tether и USD Coin) между 184 странами с 2017 по 2024 год, а также основные тенденции таких трансграничных потоков. Актуальность исследования обоснована величиной трансграничных потоков цифровых активов, которая оценивалась примерно в 2,6 трлн долларов США в ...
Added: September 17, 2026
Ионцев М. А., Предпринимательское право 2026 № 1 С. 13–20
В статье рассматривается правовая архитектура цифрового сегмента финансового рынка. Рассматриваются квалифицирующие признаки договора фактического посредничества, заключаемого путем присоединения. Автор рассматривает отношения между оператором информационной системы, в которой осуществляется выпуск цифровых финансовых активов, и пользователями такой системы, операторами обмена цифровых финансовых активов и его пользователями. ...
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Берестова Е. В., Человек 2026 Т. 37 № 5 С. 98–117
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Added: September 17, 2026
Buchko A., Peresetsky A., HSE Economic Journal 2025 Vol. 29 No. 3 P. 383–406
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Added: September 17, 2026
Kazakov A., Koryakin V., Safonov K. et al., Journal of Differential Equations 2026 Vol. 480 Article 114626
We study a family of one-dimensional maps that models the dynamics of a system of differential equations with a Lorenz attractor near a bifurcation curve where the system has a pair of homoclinic loops with zero separatrix value. Of particular interest is the region of the parameter plane where the map has a robust chaotic ...
Added: September 16, 2026
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Тезисы докладов содержат разностороннее исследование теоретических и практических вопросов развития ...
Added: September 16, 2026
Abdullaev A., Sivaev S., Regional Research of Russia 2026 Vol. 16 No. 3 P. 518–530
The article examines the specific features of implementing regional programs of targeted social support for housing and communal services payments in Russia. The aim of the study is to identify differences between the federal subjects in key parameters of the program, targeting and coverage of households with housing subsidies, as well as in the results of ...
Added: September 16, 2026
Letellier C., Stankevich N., Houri S. et al., Chaos 2026 Vol. 36 No. 9 Article 093128
Toroidal chaos designates a chaotic solution that is structured in the neighborhood of a torus. For being chaotic, such a torus needs to be discontinuously fractalized to present a Cantor set, ensuring the great sensitivity to initial conditions required for chaos. A fractal is related to self-similarity and a non-integer dimension. In fact, although clearly ...
Added: September 16, 2026
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Gokhberg L., Abdrakhmanova G., Kutsenko E. et al., Вопросы статистики 2026 Т. 33 № 4 С. 5–20
This article examines the methodological and practical issues associated with the transition to the new edition of the All-Russian Classifier of Economic Activities (OKVED) – OKVED3. The relevance of the study stems from the need to reflect contemporary structural changes in the economy, related to the transformation of the existing economic activities and emergence of ...
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Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026
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
Цыганков В. В., Koldanov P., В кн.: Математическое и компьютерное моделирование в экономике, страховании и управлении рисками: сборник статей. Выпуск 10. Материалы XIV Научно-практической конференции. Саратов, 20–22 ноября 2025 г.Вып. 10.: Саратов: Саратовский университет, 2025. С. 89–94.
The study analyzes new measures of the uncertainty in procedures for identifying market graphs, using data from 12 stock markets across different countries. It is emphasized that a key advantage of the measures under review is that they can be computed solely from observational data. ...
Added: July 20, 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. ...
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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