Influence of Stochastic Meshing Parameter on Vibration of Shearer Cutting Unit Planetary by Wu Guijun, Zhang Yu, Chen Hongyue, Mao Jun

“…The research indicates that the mean value and mean-square deviation of the vibration displacement for solar wheel and planet gear increases with the degree of dispersion of the random clearance,meshing error and meshing stiffness,and random clearance has the maximum influence on the vibration displacement of planetary,random meshing stiffness comes second,the least influence is random meshing error. …”
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Numerical Method for Stochastic Nonlinear Schrödinger Equation Driven by Multivariate Gaussian Measure: Algorithms and Applications by Hongling Xie

“…In this paper, we present a novel Galerkin spectral method for numerically solving the stochastic nonlinear Schrödinger (NLS) equation driven by multivariate Gaussian random variables, including the nonlinear term. Our approach involves deriving the tensor product of triple random orthogonal basis and random functions, which enables us to effectively handle the stochasticity and nonlinear term in the equation. …”
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Ensuring Seismic Resistance of Reinforced Concrete Buildings by O. V. Mkrtychev, A. A. Reshchetov

“…However, these studies, as a rule, do not take into account the random nature of the seismic impact, which is a pronounced non-stationary random process. …”
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Establishment and Application of Stochastic Mesoscopic Concrete Model by Shufang Wang, Xiaoliang Zhai, Yangyang Gao, Jialu Li, Wei Hu

“…Concrete is a kind of complex multiphase composite material, and the spatial distribution of each component of concrete is random, which has an impact on its physical and mechanical properties. …”
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RELIABILITY MODEL OF STRESS-STRENGTH CORRELATION INTERFERENCE BASED ON STATISTICAL FITTING OF DYNAMIC COPULA (MT) by FAN HongMei, TANG JiaYin

“…Due to the complexity of random integral, the random process degenerates into random variable, and then the reliability at a fixed time was calculated based on the discretization thought. …”
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Stochastic bridge approach for generating correlated time series and its applications by HU Luo-quan, ZHU Hong-bo

“…There were apparently locally favorable peaks in probability density function of basic random variables with lower reflections. Finally, the applications of basic random variables in modeling wireless channels were discussed.…”
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Galerkin Spectral Method of Stochastic Partial Differential Equations Driven by Multivariate Poisson Measure by Hongling Xie

“…A considerable body of prior research has been dedicated to devising efficient and high-order numerical methods for solving stochastic partial differential equations (SPDEs) driven by discrete or continuous random variables. The majority of these efforts have concentrated on introducing numerical approaches for SPDEs involving independent random variables, with limited exploration into solving SPDEs driven by dependent and discrete random variables. …”
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Quantile-Based Estimative VaR Forecast and Dependence Measure: A Simulation Approach by Khreshna Syuhada, Risti Nur’aini, Mahfudhotin

“…A Value-at-Risk (VaR) forecast may be calculated for the case of a random loss alone and/or of a random loss that depends on another random loss. …”
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A Birandom Job Search Problem with Risk Tolerance by Guoli Wang, Wansheng Tang, Ruiqing Zhao

“…Since the offered wages are random variables and the search process is random, it's impossible to obtain the job searcher's real return; in this case, its expected value can be calculated via birandom theory. …”
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Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller by Jie Ran, Yanmin Liu, Jun He, Xiang Li

“…The random feedback control method, which does not require any adjustable control parameters of the model, just only slightly changes the random intensity. …”
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CPT-Based Probabilistic Characterization of Undrained Shear Strength of Clay by Mi Tian, Xiaotao Sheng

“…Applying random field theory involves two important issues: the statistical homogeneity (or stationarity) and determination of random field parameters and correlation function. …”
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The Optimization Model for Reducing RON Loss in Gasoline Refining Process by Xuefei Lu, Xiaoyan Wang, Yifang Yang, Jianan Xue

“…By Python and SPSS software, we got two variable filtering methods: the random forest importance filtering and PCA filtering, and combined with SVR and random forest models, RON of the product and sulfur content were predicted. …”
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A Methodology for Multihazards Load Combinations of Earthquake and Heavy Trucks for Bridges by Dezhang Sun, Xu Wang, Baitao Sun

“…The modified model is based on conditional probability, which can convert random process to random variables relatively easily and consider the nonmaximum factor in load combinations. …”
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Research on Grid Scroll Chaotic Extended Sequence Algorithm and Its Circuit Implementation for F-OFDM System by Yingjie Ma, Ya Li, Geng Zhao, Ping Zeng, Yatao Yang

“…The proposed grid multiscroll chaotic maps are used as random phase sequence vectors instead of the traditional pseudo random sequence, which provide a large number of random sequences with good correlation characteristics, random characteristics, and high security. …”
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Method of structural reliability analysis based on boundary distribution functions by S. A. Solovev, A. A. Soloveva

“…P-boxes take into account both types of uncertainty: caused by natural variability of random parameters and uncertainty caused by lack of knowledge about the random variable (number of control samples, accuracy of measuring instruments, etc.).Results. …”
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Easy Data Augmentation untuk Data yang Imbalance pada Konsultasi Kesehatan Daring by Anisa Nur Azizah, Misbachul Falach Asy'ari, Ifnu Wisma Dwi Prastya, Diana Purwitasari

“…Penelitian kami menyelidiki algoritma Easy Data Augmentation (EDA), yang berbasis parafrase kalimat dalam teks KKD dengan menggunakan teknik Synonym Replacement (SR), Random Insertion (RI), Random Swap (RS), dan Random Deletion (RD). …”
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Precise Large Deviations of Aggregate Claims with Dominated Variation in Dependent Multi-Risk Models by Shijie Wang, Xuejun Wang, Wensheng Wang

“…We consider a dependent multirisk model in insurance, where all the claims constitute a linearly extended negatively orthant dependent (LENOD) random array, and then upper and lower bounds for precise large deviations of nonrandom and random sums of random variables with dominated variation are investigated. …”
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Characterizations of Lifetime Distributions Using Two Relative Reliability Measures by Ghadah Alomani, Mohamed Kayid

“…The measures are evaluated partially at some sequential random times following a specific distribution. We show that several particular statistics, as random times, fulfill that specific distribution, and thus, the result is applicable in the context of the specified random times. …”
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Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System by Jie Ran, Yu-Qin Li, Shao-Juan Ma, Juan Wu

“…Furthermore, the stochastic discrete-time hyperchaotic system with random parameters is transformed into its equivalent deterministic system with the orthogonal polynomial theory of discrete random function. …”
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Machine Learning Based Engagement Prediction for Online Courses by Wang Wanning

“…This study investigates the performance of three machine learning models (decision trees. SVMs, and random forests) in predicting online course participation. …”
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