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Асимптотические коэффициенты ранговой корреляции между истинными показателями неэффективности и их оценками в простой модели стохастической границы.
Прикладная математика и информатика. 2024. Т. 75. С. 97–109.
Никольский И. М., Furmanov K. K.
We consider a problem of estimating the rank correlations between inefficiency indices of decision making units and their JLMS estimators in a stochastic frontier model with exponentially distributed inefficiency. We derive expressions for asymptotic values of Kendall and Somers rank correlation coefficients and of Harrell’s C-index and provide an example of applying the obtained results to real data.
Kupavskii A., Noskov F., Forum of Mathematics, Sigma 2026 Vol. 14 Article 124
We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a sunflower with $s$ petals if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of ...
Added: October 8, 2026
Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 213 No. 2 Article 119245
This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...
Added: October 8, 2026
Люксембург А. А., УРСС, 2005.
Изучается возможность автоматизированного построения математических теорий. Рассматривается дедуктивная система, основанная на языке логики предикатов первого порядка, объектами системы являются математические выражения или формулы, которые описывают математические объекты или их свойства. В дедуктивной системе выводятся математические определения и теоремы. Для доказательства теорем используются методы автоматического доказательства. Разработан алгоритм, выводящий часть формул системы. Для решения задачи используется аппарат математической ...
Added: October 7, 2026
Bernardin C., Gonçalves P., Olla S., Mathematical Physics Analysis and Geometry 2024 Vol. 27 No. 7
We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space. ...
Added: October 6, 2026
Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875
We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
Added: October 5, 2026
Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184
Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...
Added: October 5, 2026
Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21
In this paper, we present explicit formulas for the inverse and determinant in geometric (Clifford) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...
Added: October 4, 2026
Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1
In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...
Added: October 3, 2026
Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102
Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...
Added: October 2, 2026
Pochinka O., Baranov D., Nozdrinova E., Теоретическая и математическая физика 2026 Т. 229 № 1 С. 3–14
The Birman–Williams problem on describing the planetary link of a fibered knot K in S^3 has been partially solved. Using Nielsen's theory for the classification of periodic surface homeomorphisms and its close relationship with the theory of gradient-like diffeomorphisms, it is proved that the planetary link of the trefoil (the unique periodic fibered knot of genus ...
Added: October 2, 2026
Lubashevsky I., Lubashevskiy V., Physica D: Nonlinear Phenomena 2026 Vol. 498 Article 135441
We develop a novel cloud-function formalism describing the dynamical relationship between sensory-information processing in large-scale brain networks (supraliminal processing) and the content of the mental representation of an observed object. The formalism combines elements of neural field theory for large-scale neural activity with the spatial characteristics of perceived objects and their embedding in the environment ...
Added: October 2, 2026
Zlotnik A., Математические заметки 2026 Т. 120 № 6 С. 1005–1009
Численным методам решения систем газодинамических уравнений посвящена обширная литература. Ранее было разработано и успешно апробировано специальное семейство симметричных по пространству консервативных разностных методов, основанных на предварительной кинетической, точнее, квазигазодинамической (КГД), регуляризации этих уравнений. Актуальной задачей является построение численных методов, которые обладают не только свойством консервативности по массе, импульсу и полной энергии, но и удовлетворяют условиям энтропийной ...
Added: October 1, 2026
Vyugin I. V., Sashadhar D., Algebra and Number Theory 2026 P. 1–10
We study the K-Fibonacci sequence Fp modulo prime p. Cardinalities of sets |Fp+Fp| and |Fp⋅Fp| are estimated. We present the method of estimating doubling constant of some m-dimensional recurrent sets in Fp. ...
Added: October 1, 2026
Kuksin S., Dynamical Systems 2026
We study the mixing properties of discrete-time and continuous-time dissipative dynamical systems driven by bounded mixing random forces. The continuous-time systems are
reduced to discrete-time random dynamical systems generated by time-one maps, so that
the main analysis is carried out in the discrete setting. We introduce a class of mixing random forcings whose regular conditional distributions with ...
Added: October 1, 2026
Kuksin S., Shirikyan A., Journal of Dynamics and Differential Equations 2026 P. 1098–1100
The paper deals with the problem of large-time behaviour of trajectories for discrete-time dynamical systems driven by a random noise. Assuming that the phase space is finite-dimensional and compact, and the noise is a Markov process with a transition probability satisfying some regularity hypotheses, we prove that all the trajectories converge to a unique measure ...
Added: October 1, 2026
Potanin B., Dolgikh S., Statistics and Probability Letters 2027 Article 110984
We derive bounds on the gradient and Hessian of the log-CDF, ln F(x), of the multivariate normal distribution. These bounds scale linearly and quadratically in ‖x‖ , respectively, with constants depending only on the covariance matrix. We demonstrate the usefulness of these bounds by proving asymptotic normality of the maximum-likelihood estimator of the multivariate probit ...
Added: October 1, 2026
A. V. Pereskokov, Journal of Mathematical Sciences 2026 Vol. 302 No. 4 P. 531–545
We consider the Zeeman effect problem for the hydrogen atom in a magnetic field using
irreducible representations of the Karasev–Novikova algebra with quadratic commutation
relations. We find the asymptotics of a series of eigenvalues and the corresponding
asymptotic eigenfunctions near the upper boundaries of spectral clusters. ...
Added: October 1, 2026
Nikulina Y., Jamali Jaghdani T., Götz L. et al., / Series "Working Papers". 2026.
The impact of state subsidies on Russia's post-Soviet dairy output remains controversial; this study provides an empirical analysis of that relationship. Using an unbalanced panel dataset of 123 dairy enterprises in the Leningrad Region spanning the period from 2010 to 2023, we employ stochastic frontier analysis to assess these relationships. The results indicate that subsidies ...
Added: September 30, 2026
Furmanov K. K., Predvoditeleva M., Balaeva O., Прикладная эконометрика 2026 № 2(82) С. 67–85
The paper studies changes in technical efficiency of the hotels, hostels, and other accommodation facilities in regions of Russia that possibly took place due to the 2018 FIFA World Cup. The production frontier for the accommodation facilities is estimated using 2015–2021 data on Russian regions, regional technical efficiency before and after the World Cup is ...
Added: April 27, 2026
Chepovskiy A., Chepovskiy A., Успехи кибернетики 2025 Т. 6 № 1 С. 55–61
In this paper, the authors study the problem of both assessing the quality of implicit community detection on a graph obtained by importing data from social networks and instant messengers, and methods for analyzing such networks to identify the information impact on its actors. Two approaches to assessing the correctness of dividing a graph into ...
Added: May 23, 2025
Datsun N. N., Вестник Мининского университета 2025 Т. 13 № 1 Статья 2
Introduction. Successful mastery of the object-oriented modeling methodology of business processes requires students of Business Informatics to invest significant time and effort in practical activities. How do students of this specialty perceive UML activity diagrams? Why do the models they create contain defects that reduce the quality of the diagrams? Does the defects number in ...
Added: April 30, 2025
Ахмедов Э., Furmanov K. K., Экономика и математические методы 2025 Т. 61 № 1 С. 109–117
A stochastic frontier model is a regression model where an explained variable is either output of a firm or its costs, and unexplained variation of this variable is divided into two components: inefficiency and stochastic shock. These components are modeled by random variables with different families of distributions. The model allows estimation of inefficiency at firm level and ...
Added: March 27, 2025
Konstantin Polyakov, Marina Polyakova, , in: Procedia Computer Science, Volume 242: 11th International Conference on Information Technology and Quantitative Management (ITQM 2024).: ScienceDirect, 2024. P. 1125–1132.
Added: September 11, 2024
Polyakov K., Polyakova M. V., Экономический журнал Высшей школы экономики 2023 Т. 27 № 3 С. 390–411
This study is devoted to the analysis of the statistical relationship between the effectiveness of the bank and its specialization. Efficiency in the study is considered as a metric that evaluates the quality of management of an organization. Specialization in this case refers to the bank's concentration on certain types of banking products. The specifics ...
Added: October 30, 2023