Analysis of Voltage Fluctuations in Power Supply Systems with Consumers with the Rapidly Changing Load by Bakshaeva N.S., Walz I.A.

“…Methods of experimental and theoretical research and methods of mathematical statistics and the probability theory were used to process experimental data. …”
Get full text

Bayesian inference: more than Bayes’s theorem by Thomas J. Loredo, Robert L. Wolpert

“…But Bayesian inference uses all of probability theory, not just Bayes’s theorem. Many hypotheses of scientific interest are composite hypotheses, with the strength of evidence for the hypothesis dependent on knowledge about auxiliary factors, such as the values of nuisance parameters (e.g., uncertain background rates or calibration factors). …”
Get full text

Features of mathematical modeling of road safety on highways by R. V. Guseinov, P. A. Dadaeva, M. M. Shabazov, M. T. Mutalibov, M. R. Akhmedova

“…Quantitative methods for analyzing road safety problems (BDD) are based on probability theory, mathematical statistics, information theory, multifactor analysis, reliability theory, modeling, programming and other mathematical methods.Result. …”
Get full text

A Quantum Probability Approach to Improving Human–AI Decision Making by Scott Humr, Mustafa Canan, Mustafa Demir

“…The application of quantum probability theory (QPT) to human cognition is on the ascent and warrants potential consideration to human–AI decision making to improve these outcomes. …”
Get full text

Unbalance terminal control method at the reception, storage and delivery of petroleum products to the fuel depots of JSC “Russian Railways” by A. G. Godnev, E. P. Loktev, S. N. Naumenko

“…The article offers mathematical apparatus, based on results of probability theory and statistical decision theory, showing that the use of control method allows keeping the original supplier relative error for oil product when it is delivered to the consumer, not increasing it by the error of measuring instruments by tank and / or accounting site.…”
Get full text

A Method for Determining the Capacity of an Exclusive Left Lane with a Permitted Phase under Nonstrict Priority by Qiao-wen Bai, Zhao-wei Qu, Xian-min Song, Shuai Xiong, Ning-bo Cao

“…Next, a method based on probability theory and these observation results were applied to estimate the capacity of an exclusive left lane. …”
Get full text

Coverage Optimization Algorithm Based on Sampling for 3D Underwater Sensor Networks by Du Xiaoyu, Sun Lijuan, Liu Linfeng

“…The proposed coverage optimization algorithm is inspired by the simple random sampling in probability theory. The main objective of this study is to lessen computation complexity by dimension reduction, which is composed of two detailed steps. …”
Get full text

RESEARCH AND EVALUATION OF FUNCTIONAL PARAMETERS OF LOW VOLTAGE DEVICES by E. Gracheva, A. Safin, R. Sadykov

“…At the same time, the quantitative characteristics of the functioning efficiency are determined by the methods of probability theory and mathematical statistics. The set of the obtained quantitative indicators allows to determine the actual level of reliability of contacting, and also extends the possibility of predicting performance ratings in the design.  …”
Get full text

Vines and MAT-labeled graphs by Hung Manh Tran, Tan Nhat Tran, Shuhei Tsujie

“…Vines have nowadays become an active research area whose applications can be found in probability theory and uncertainty analysis. The second concept, called MAT-freeness, is a combinatorial property in the theory of freeness of logarithmic derivation modules of hyperplane arrangements. …”
Get full text

DISTRIBUTION OF AN AIR STREAM SPEED IN THE DEEP ASPIRATING CHANNEL by V. G. Khamuev

“…The field of air stream speeds in the channel was estimated by distribution factor determined by a probability theory method. The authors were investigated influence of plates-barriers on distribution of air stream speed in the air separating channel and on efficiency of cleaning of the processed material. …”
Get full text

Venn diagrams and probability in clinical research by N. М. Bulanov, O. B. Blyuss, D. B. Munblit, T. V. Nazarenko, D. V. Butnaru, M. Yu. Nadinskaia, A. A. Zaikin

“…Then we discuss the definitions of sample space, events, basic set operations (union and intersection) and their implementation in the classical approach to probability theory. All examples are introduced with Venn diagrams to illustrate the cases.…”
Get full text

Durability analysis of rotary direct drive electro-hydraulic pressure servo valve based on failure physics principle. by Jianrui Zhang, Xing Wei, Ni Li, Xiaonan Pan, Yitong Sun

“…Initially, a novel approach is proposed that integrates probability theory and fuzzy theory with the traditional Miner theory, enhancing the accuracy of fatigue life predictions for transmission mechanisms. …”
Get full text

Theoretical Properties of Closed Frequent Itemsets in Frequent Pattern Mining by Huina Zhang, Hui Li, Yumei Li, Guangqiang Teng, Xianbing Cao

“…Furthermore, we propose confidence interval-based closed frequent itemsets (CICFIs) by integrating frequent pattern mining with probability theory. To evaluate the stability, three classical confidence interval (CI) estimation methods of relative support (rsup) based on the Wald CI, the Wilson CI, and the Clopper–Pearson CI are introduced. …”
Get full text

Applications of Entropy in Data Analysis and Machine Learning: A Review by Salomé A. Sepúlveda-Fontaine, José M. Amigó

“…Since its origin in the thermodynamics of the 19th century, the concept of entropy has also permeated other fields of physics and mathematics, such as Classical and Quantum Statistical Mechanics, Information Theory, Probability Theory, Ergodic Theory and the Theory of Dynamical Systems. …”
Get full text

METHOD OF IMAGE PROCESSING IN THE PROBLEM OF DETECTING MOVING OBJECTS IN OPTICAL-ELECTRONIC SURVEILLANCE SYSTEMS OF THERMAL IMAGING TYPE by E. I. Mikhnionok

“…The research uses the mathematical apparatus of probability theory and simulation with subsequent statistical processing of data. …”
Get full text

Statistical Modeling and Probable Calculation of the Strength of Materials with Random Distribution of Surface Defects by Roman Kvit, Petro Pukach, Tetyana Salo, Myroslava Vovk

“…Based on the solutions of deterministic fracture mechanics and the methods of probability theory, the algorithm for calculating the probabilistic strength characteristics of plate elements of structures with an arbitrary stochastic distribution of surface defects is outlined. …”
Get full text

Road safety improvement in road traffic participant – vehicle – road – external environment system by E. V. Kurakina, V. A. Sklyarova

“…Analytical methods based on analysis of links, flows, temporary analysis of events, methods of road traffic safety assessment based on detection of safety and accident factors, detection of accident concentration places, methods of probability theory and processing of research results, software-computing methods of information technologies.Results. …”
Get full text

An Optimized Strategy Coverage Control Algorithm for WSN by Zeyu Sun, Weiguo Wu, Huanzhao Wang, Heng Chen, Wei Wei

“…First of all, a relation mapping model of sensor nodes and target nodes is established by OSCC which is based on geometric figure and related theories, probability theory, converge property, and so forth to complete effective reasoning and calculate certain network models. …”
Get full text

New bounded probability model: Properties, estimation, and applications by Ahmed M. Gemeay, Laxmi Prasad Sapkota, Yusra A. Tashkandy, M.E. Bakr, Oluwafemi Samson Balogun, Eslam Hussam

“…Beyond its empirical contributions, the article highlights the potential cross-disciplinary applications of the new distribution in many fields while concurrently advancing the realms of probability theory and statistical inferences.…”
Get full text

Stochastic Fractal Search for Bayesian Network Structure Learning Under Soft/Hard Constraints by Yinglong Dang, Xiaoguang Gao, Zidong Wang

“…A Bayesian network (BN) is an uncertainty processing model that simulates human cognitive thinking on the basis of probability theory and graph theory. Its network topology is a directed acyclic graph (DAG) that can be manually constructed through expert knowledge or automatically generated through data learning. …”
Get full text