Multivariate spatial conditional U-quantiles: a Bahadur–Kiefer representation by Salim Bouzebda, Nourelhouda Taachouche

“…Quantiles constitute a core concept in probability theory and theoretical statistics, providing an indispensable instrument in a wide array of applications. …”
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Prediction of Outcomes in Sports Under Probability in Kigezi Region. by Masereka, Jairus

“…The study concludes that the prediction of outcomes in sports, particularly in the Kigezi region, relies heavily on the application of probability theory. Understanding and applying probability helps in making informed predictions, although the inherently unpredictable nature of sports outcomes must be acknowledged. …”
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Impacts of noise and interference on the bit error rate of the FBMC-OQAM modulation scheme in 5G systems by A. Androon, O. V. Tikhonova

“…The work sets out to evaluate the noise immunity of the signal modulation method in 5G networks using a filter bank multicarrier with offset quadrature amplitude modulation (FBMC-OQAM) and to analyze the bit error rate (BER).Methods. In the work, probability theory and mathematical statistics methods are applied according to computer modeling approaches.Results. …”
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Model-Driven Clock Synchronization Algorithms for Random Loss of GNSS Time Signals in V2X Communications by Wei Hu, Jiajie Zhang, Ximing Cheng

“…To address this challenge, a model-driven local clock correction approach is proposed. Leveraging probability theory and mathematical statistics, models for the randomly lost GNSS PPS signals are developed. …”
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Asymptotic solutions of singularly perturbed linear differential-algebraic equations with periodic coefficients by S. Radchenko, V. Samoilenko, P. Samusenko

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Dynamic Risk Assessment and Control Framework for Work Zone and Its First Implementation under Simulation Environment by Zhepu Xu, Cancan Song, Jie Yu

“…., UTECN (unit total equivalent conflict number), is established that can consider the severity and possibility of accidents caused by conflicts based on the vehicle collision energy theory, probability theory, and risk management theory. A risk assessment standard is established based on the level of safety service. …”
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MATHEMATICAL MODELLING OF MASS EXCHANGE PROCESSES BETWEEN FLOW AND ALLUVIAL SEDIMENTS by M. R. Magomedova

“…The mathematical model is developed using probability theory and the theory of runs of random processes, taking into account the normal distribution of the horizontal and vertical components of the instantaneous flow velocities and the Rayleigh law of the distribution of their maxima.Results. …”
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Prevalence of rare anatomic variants - publication bias due to selective reporting in meta-analyses studies by Vasileios Papadopoulos, Dimitrios Filippou, Aliki Fiska

“…Materials and methods: We used probability theory over three sets of real-world and a single set of simulation data to assess the maximum publication bias due to selective reporting in meta-analysis of rare anatomic variants. …”
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Forecasting technique of transport need for population of cities with high tourist potential during peak seasons by N. N. Yakunin, N. V. Yakunina, A. F. Fattakhova, A. A. Postnikova, M. R. Yanuchkov

“…General scientific methods of analysis and synthesis, the provisions of probability theory and mathematical statistics, mathematical modeling, as well as the provisions of the technology of transport processes were used as the main research methods. …”
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THE METHODOLOGY OF THE CURRENT PLANNING OF A MOTOR TRANSPORT ENTERPRISE OPERATION FOR THE TRANSPORTATION OF GOODS IN THE CITY by L. S. Trofimova

“…A system analysis, the methods of probability theory and mathematical statistics are used in the studies.Results: - the methodological foundations that made it possible to develop a methodology for the current planning of the work of a specialized rolling stock of standard sizes for a motor transport enterprise to implement the contracts conditions for the transportation of goods in the city;- a computer program, the use of which in the operating of a motor transport enterprise will make possible to carry out planning aimed to implement the contracts terms and make a profit.Discussion and conclusions. …”
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Experimental studies of load transformation of the support contour of a load-lifting crane by Potakhov D.A., Vatulin J.S.

“…The obtained data were processed according to probability theory and mathematical statistics. The experimental studies were conducted on a real overhead crane – a boom truck crane of the KS-45717 type. …”
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Blended learning module for universities and extended education programs by Egorova P. Egorova, Anton A. Abashkin, Vladimir G. Mosin

“…Its subject matter (probability theory and data analysis) is presented in such a way that, once implemented, it will be in demand in a wide range of educational areas: from sociology, biology and medicine to economics, energy, construction and mechanical engineering.…”
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Teaching mathematics in psychological and pedagogical classes by M. A. Keiv, N. A. Zhuravleva

“…The article presents prospective forms of organizing mathematics classes for students of psychological and pedagogical classes: a class on the topic “Popular Probability Theory” with elements of the role-playing game “Teacher and Students” and a class on the topic “Graphs” in the form of a pedagogical workshop “How to tell younger students about graphs?”.…”
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Characteristics of operational control reliability of aircraft functional systems and avionics suites by S. V. Kuznetsov

“…The choice of the control reliability characteristics is based on the system analysis and the mathematical apparatus of logic, probability theory and mathematical statistics. Rational sets of technical states and decision-making about the technical conditions of functional systems and avionics suites are formed. …”
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Odbiorcy w kształtowaniu innowacyjności polskiego systemu przemysłowego by Arkadiusz Świadek, Barbara Czerniachowicz

“…Methodology is based on probability theory, namely probit (univariate models) and logit models (multi-factor models).…”
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An Analytical Formula for the Transition Density of a Conic Combination of Independent Squared Bessel Processes with Time-Dependent Dimensions and Financial Applications by Nopporn Thamrongrat, Chhaunny Chhum, Sanae Rujivan, Boualem Djehiche

“…The squared Bessel process plays a central role in stochastic analysis, with broad applications in mathematical finance, physics, and probability theory. While explicit expressions for its transition probability density function (TPDF) under constant parameters are well known, analytical results in the case of time-dependent dimensions remain scarce. …”
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Activities for road transport enterprises on indicators of workers and rolling stock productivity planning by L. S. Trofimova, A. P. Zhigadlo

“…Planning is carried out using the conceptual provisions of the current planning of the work of a trucking company, taking into account the relationship of activities and the demand for transportation, methods of probability theory and mathematical statistics, scientific principles of education and training of workers for the transport industry.Results. …”
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Autonomous Behavior Selection For Self-driving Cars Using Probabilistic Logic Factored Markov Decision Processes by Héctor Avilés, Marco Negrete, Alberto Reyes, Rubén Machucho, Karelly Rivera, Gloria de-la-Garza, Alberto Petrilli

“…Probabilistic logic combines logic programming with probability theory to achieve clear, rule-based knowledge descriptions of multivariate probability distributions, and a flexible mixture of deductive and probabilistic inferences. …”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…The algebra may form a basis for probability theory more generally.…”
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KPZ scaling from the Krylov space by Alexander Gorsky, Sergei Nechaev, Alexander Valov

“…For case ii), utilizing the relationship between the spectrum of tridiagonal matrices at the spectral edge and the spectrum of the stochastic Airy operator, we demonstrate analytically the origin of the KPZ scaling for the particular Krylov chain using the results of the probability theory. We argue that there is interesting outcome of our study for the double scaling limit of matrix models. …”
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