Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases by Maysaa Elmahi Abd Elwahab, Ahmed Elshahhat, Ohud A. Alqasem, Mazen Nassar

“…The Bayesian estimates are obtained using the squared error loss function and the Markov Chain Monte Carlo procedure. To assess the performance of these different estimation methods, we conduct a simulation study that incorporates various testing plans. …”
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The Concept of Theoretical-Empirical Dualism in Teaching Math by G. D. Gefan

“…Particular attention is paid to the use of mathematical experiments in those frequent cases when it is necessary to replace or supplement complex evidence, illustrate new knowledge, and give research skills. Monte Carlo mathematical experiments are demonstrated, which serve, in particular, as a bright, figurative, and convincing form of reinforcing theoretical knowledge in the field of stochastic branches of mathematics. …”
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Estimating theoretical stress regime for engineered geothermal energy systems in an arctic community (Kuujjuaq, Canada) by Miranda, Mafalda M., Raymond, Jasmin, Dezayes, Chrystel

“…Literature data was used in this context to evaluate the orientation of the stress components and empirical relationships were applied to calculate their magnitude in a community of Nunavik, northern Quebec. A Monte Carlo-based sensitivity analysis was carried out due to the uncertainty of the input parameters. …”
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Experimental and Simulation Study of n-Heptane Adsorption on Rutile by G.U. Rakhmatkariev, A.J. Palace Carvalho, J.P. Prates Ramalho

“…The adsorption of n-heptane on microcrystalline rutile has been studied experimentally by thermodynamic techniques (adsorption isotherms and microcalorimetry) over a wide range of coverage at 303 K and complemented by Grand Canonical Monte Carlo simulations. The differential heat of adsorption exhibited three descending segments corresponding to the adsorption of n-heptane on three types of surfaces. …”
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Determining Parameters of Metal-Halide Perovskites Using Photoluminescence with Bayesian Inference by Manuel Kober-Czerny, Akash Dasgupta, Seongrok Seo, Florine M. Rombach, David P. McMeekin, Heon Jin, Henry J. Snaith

“…In this work, we demonstrate that time-resolved photoluminescence data of metal halide perovskites can be effectively evaluated by combining Bayesian inference with a Markov-chain Monte-Carlo algorithm and a physical model. This approach enables us to infer a high number of parameters that govern the performance of metal halide perovskite-based devices, alongside the probability distributions of those parameters, as well as correlations among all parameters. …”
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Signal to Noise Ratio as a Cross-Platform Metric for Intraoperative Fluorescence Imaging by Asmaysinh Gharia BA, Efthymios P. Papageorgiou PhD, Simeon Giverts BA, Catherine Park MD, Mekhail Anwar MD, PhD

“…We use empirical tumor and noise measurements to procedurally generate tumor images and run a Monte Carlo simulation of microscopic disease imaging to optimize parameters such as pixel size.…”
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Adsorption in Slit Pores and Pore-Size Distribution: A Molecular Layer Structure by E.A. Ustinov, D.D. Do

“…The model is less time-consuming than methods such as the DFT and Monte-Carlo simulation, and most importantly it can be readily extended to the adsorption of mixtures and capillary condensation phenomena.…”
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Frequentist and Bayesian Approaches in Modeling and Prediction of Extreme Rainfall Series: A Case Study from Southern Highlands Region of Tanzania by Erick A. Kyojo, Silas S. Mirau, Sarah E. Osima, Verdiana G. Masanja

“…Three estimation methods–L-moments, maximum likelihood estimation (MLE), and Bayesian Markov chain Monte Carlo (MCMC)–were employed to estimate GEV parameters and future return levels. …”
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COG 11.3 New Features by Heinrichs David, Lent Edward, Lee Chuck

“…COG is a high fidelity, multi-particle, Monte Carlo radiation transport code in development at LLNL since 1980 in support of multiple applications including nuclear criticality safety, radiation shielding, radiography, and subcritical multiplicity analysis. …”
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Regional Frequency Analysis of Extremes Precipitation Using L-Moments and Partial L-Moments by Said Arab Khan, Ijaz Hussain, Tajammal Hussain, Muhammad Faisal, Yousaf Shad Muhammad, Alaa Mohamd Shoukry

“…The Z-statistics and L- and PL-moments ratio diagrams of GNO, GEV, and GPA distributions were identified to represent the statistical properties of extreme precipitation in Northern areas and Khyber Pakhtunkhwa, Pakistan. We also perform a Monte Carlo simulation study to examine the sampling properties of L- and PL-moments. …”
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Quantifying Uncertainty in State Estimation: The MoK-FoBS Method via Interval Analysis by Yuting Chen, Ning Zhou, Ziang Zhang

“…Employing simulation data derived from IEEE testing systems, it is verified through the Monte Carlo method that the MoK-FoBS method can estimate hard boundaries that invariably contain the true state values. …”
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The gallium solar neutrino capture cross section revisited by W.C. Haxton, Evan Rule

“…Uncertainties are propagated using Monte Carlo simulations.…”
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Augmented electrical conductivity of hybrid graphene nanoplatelets carbon nanotubes polymer nanocomposites by the electro-magnetic field induced subbands by Mojtaba Haghgoo, Reza Ansari, Mohammad Kazem Hassanzadeh-Aghdam

“…The representative volume element is generated by distributing rode-like CNTs and disk-like GNPs using a Monte Carlo approach. When calculating electrical resistance, the tunneling effect accounts for the electron transfer between each linked pair of nanofillers. …”
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Accelerated failure model with empirical analysis and application to colon cancer data: Testing and validation by John Abonongo, Anuwoje Ida L. Abonongo, Abdussalam Aljadani, Mahmoud M. Mansour, Haitham M. Yousof

“…Serving as an alternative to the Cox model and other established AFT models, the proposed model’s parameters are estimated through maximum likelihood estimation. A Monte Carlo simulation study is conducted to evaluate the proposed model’s performance across various scenarios, demonstrating its superiority over competing AFT models. …”
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Co-Doping Effects in CdWO4 Scintillator Thin Films as Alpha Counters: Ag and Gd Cases by Nooshin Heydarian Dehkordi, Morteza Raeisi, Sanaz Alamdari

“…The precision of the Monte Carlo technique for the computation of alpha particle trajectories in CWO-20wt. % PES and co-doped CWO-20wt. % PES thin films were 55 and 53 µm, respectively, which approximately agreed with FE-SEM images. …”
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A New Comprehensive Framework for Identifying and Monitoring the Interseasonal Characteristics of Meteorological Drought by Hamza Amin, Rizwan Niaz, Nafisa A. Albasheir, Fuad S. Al-Duais, Mohammed M. A. Almazah, A. Y. Al-Rezami

“…In the first stage of the framework, the K-means method is utilized to identify homogeneous clusters. Besides, the Monte Carlo feature selection (MCFS) is applied to select more important stations from the varying clusters. …”
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Monitoring the Number of Pedestrians in an Area: The Applicability of Counting Systems for Density State Estimation by D. C. Duives, W. Daamen, S. P. Hoogendoorn

“…The latter track studies the distribution of the cumulative number of pedestrians after 24 hours for three stylized cases by means of Monte Carlo simulations. This paper finds that counting camera systems, which have a detection error that is not correlated with the flow rate, provide a reasonably good estimation of the density within an area. …”
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Ant-Based Swarm Algorithm for Charging Coordination of Electric Vehicles by Shaolun Xu, Donghan Feng, Zheng Yan, Liang Zhang, Naihu Li, Lei Jing, Jianhui Wang

“…Second, basic data of the EV using habit is sampled by the Monte Carlo method, and the ASA is applied to realize the load valley filling. …”
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Ensemble Based Box-Cox Transformation via Meta Analysis by Osman Dağ, Muhammed Ali Yılmaz

“…For the estimation of Box-Cox parameter, we assemble all possible combinations (63 combinations) of estimates calculated by these six methods. A Monte-Carlo simulation study is implemented to investigate which combination performs better compared to the rest. …”
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Prediction of Conductive Anomalies Ahead of the Tunnel by the 3D-Resitivity Forward Modeling in the Whole Space by Daiming Hu, Bülent Tezkan, Mingxin Yue, Xiaodong Yang, Xiaoping Wu, Guanqun Zhou

“…By simulating a large number of models with different tunnel sizes, we propose an equation, which considers the tunnel effect and can predict the water-bearing structures ahead of the tunnel face. The Monte Carlo method is used to evaluate the quality of the predicted model by simulating and comparing 10,000 random models. …”
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