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Search Results (334)

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Keywords = joint probability analysis

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23 pages, 9948 KB  
Article
Quantifying the Uncertainties in Projecting Extreme Coastal Hazards: The Overlooked Role of the Radius of Maximum Wind Parameterizations
by Hao Kang, Shengtao Du, Guoxiang Wu, Bingchen Liang, Luming Shi, Xinyu Wang, Bo Yang and Zhenlu Wang
J. Mar. Sci. Eng. 2026, 14(2), 222; https://doi.org/10.3390/jmse14020222 - 21 Jan 2026
Viewed by 58
Abstract
Parametric tropical cyclone models are widely used to generate large wind field ensembles for assessing extreme storm tides and wave heights. The radius of maximum wind (RMW) is a key model parameter and is commonly estimated using empirical formulas. This study shows that [...] Read more.
Parametric tropical cyclone models are widely used to generate large wind field ensembles for assessing extreme storm tides and wave heights. The radius of maximum wind (RMW) is a key model parameter and is commonly estimated using empirical formulas. This study shows that uncertainty introduced by the choice of RMW formulas has been largely overlooked in tropical cyclone risk assessments. Using the Pearl River Estuary as a case study, historical wind fields (1981–2024) were generated with a parametric tropical cyclone model combined with eight empirical RMW formulas. Storm tides and wave heights during tropical cyclone events were simulated using a coupled wave–current model (ROMS–SWAN) and analyzed with extreme value theory. The results indicate that, for estuarine nearshore zones, the 100-year return period of water level and significant wave height vary by up to 1.26 m and 1.54 m, respectively, across all the selected RMW formulas. Joint probability analysis further shows that RMW uncertainty can shift the joint return period of the same compound storm tide and wave event from 100 years to 10 years. For an individual extreme event, differences in the RMW formula alone can produce deviations up to 2.11 m in peak storm tide levels and 3.8 m in significant wave heights. Such differences can also change the duration of extreme sea states by 13 h. These results highlight that RMW formula selection is a critical uncertainty factor, and related uncertainty should be considered in large-sample tropical cyclone hazard assessment and engineering design. Full article
(This article belongs to the Special Issue Advances in Storm Tide and Wave Simulations and Assessment)
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25 pages, 2812 KB  
Article
Field-Scale Techno-Economic Assessment and Real Options Valuation of Carbon Capture Utilization and Storage—Enhanced Oil Recovery Project Under Market Uncertainty
by Chang Liu, Cai-Shuai Li and Xiao-Qiang Zheng
Sustainability 2026, 18(2), 805; https://doi.org/10.3390/su18020805 - 13 Jan 2026
Viewed by 244
Abstract
This study develops a field-based techno-economic model and decision framework for a CO2-enhanced oil recovery and storage project under joint market uncertainty. Historical drilling and completion expenditures calibrate investment cost functions, and three years of production data are fitted with segmented [...] Read more.
This study develops a field-based techno-economic model and decision framework for a CO2-enhanced oil recovery and storage project under joint market uncertainty. Historical drilling and completion expenditures calibrate investment cost functions, and three years of production data are fitted with segmented hyperbolic Arps curves to forecast 20-year oil output. Markov-chain models jointly generate internally consistent pathways for crude oil, ETA, and purchased CO2 prices, which are embedded in a Monte Carlo valuation. The framework outputs probability distributions of NPV and deferral option value; under the mid scenario, their mean values are USD 18.1M and USD 2.0M, respectively. PRCC-based global sensitivity analysis identifies the dominant value drivers as oil price, CO2 price, utilization factor, oil density, pipeline length, and injection volume. Techno-economic boundary maps in the joint oil and CO2 price space then delineate feasible regions and break-even thresholds for key design parameters. Results indicate that CCUS-EOR viability cannot be inferred from oil price or any single cost factor alone, but requires coordinated consideration of subsurface constraints, engineering configuration, and multi-market dynamics, including the value of waiting in unfavorable regimes, contributing to low-carbon development and sustainable energy transition objectives. Full article
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16 pages, 2976 KB  
Article
Effect of Elevated Temperature on Load-Bearing Capacity and Fatigue Life of Bolted Joints in CFRP Components
by Angelika Arkuszyńska and Marek Rośkowicz
Polymers 2026, 18(2), 182; https://doi.org/10.3390/polym18020182 - 9 Jan 2026
Viewed by 254
Abstract
The search for innovative solutions in the field of construction materials used in aircraft manufacturing has led to the development of composite materials, particularly CFRP polymer composites. Composite airframe components, which are required to have high strength, are joined using mechanical fasteners. Considering [...] Read more.
The search for innovative solutions in the field of construction materials used in aircraft manufacturing has led to the development of composite materials, particularly CFRP polymer composites. Composite airframe components, which are required to have high strength, are joined using mechanical fasteners. Considering that the composite consists of a polymer matrix, which is a material susceptible to rheological phenomena occurring rapidly at elevated temperature, there is a high probability of significant changes in the strength and performance properties. Coupled thermal and mechanical loads on composite material joints occur in everyday aircraft operation. Experimental tests were conducted using a quasi-isotropic CFRP on an epoxy resin matrix with aerospace certification. The assessment of changes in the strength parameters of the material itself showed a decrease of approx. 40% in its short-term strength at 80 °C compared to the ambient temperature and a decrease in the load-bearing capacity of single-lap bolted joints of over 25%. Even more rapid changes were observed when assessing the fatigue life of the joints assessed at ambient and elevated temperature. In addition, the actual glass transition temperature of the resin was determined using the DSC technique. Analysis of the damage mechanisms showed that at 80 °C, the main degradation mechanisms of the material are accelerated creep processes of the CFRP and softening of the matrix, increasing its susceptibility to damage in the joint area. Full article
(This article belongs to the Section Polymer Processing and Engineering)
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21 pages, 1696 KB  
Article
A Probabilistic Framework for Reliability Assessment of Active Distribution Networks with High Renewable Penetration Under Extreme Weather Conditions
by Alexander Aguila Téllez, Narayanan Krishnan, Edwin García, Diego Carrión and Milton Ruiz
Energies 2025, 18(24), 6525; https://doi.org/10.3390/en18246525 - 12 Dec 2025
Viewed by 468
Abstract
The rapid growth of distributed photovoltaic (PV) resources is transforming distribution networks into active systems with highly variable net loads, while the rising frequency and severity of extreme weather events is increasing outage risk and restoration challenges. In this context, utilities require reliability [...] Read more.
The rapid growth of distributed photovoltaic (PV) resources is transforming distribution networks into active systems with highly variable net loads, while the rising frequency and severity of extreme weather events is increasing outage risk and restoration challenges. In this context, utilities require reliability assessment tools that jointly represent operational variability and climate-driven stressors beyond stationary assumptions. This paper presents a weather-aware probabilistic framework to quantify the reliability of active distribution networks with high PV penetration. The approach synthesizes realistic residential demand and PV time series at 15-min resolution, models extreme weather as a low-probability/high-impact escalation of component failure rates and restoration uncertainty, and computes IEEE Std 1366–2022 indices (SAIFI, SAIDI, ENS) through Monte Carlo simulation. The methodology is validated on a modified IEEE 33-bus feeder with parameter values representative of urban/suburban overhead networks. Compared with classical reliability modeling, the proposed framework captures in a unified pipeline the joint effects of load/PV stochasticity, weather-dependent failure escalation, and repair-time dispersion, providing a consistent statistical interpretation supported by kernel density estimation and convergence diagnostics. The results show that (i) extreme weather shifts the distributions of SAIFI, SAIDI and ENS to the right and thickens upper tails (higher exceedance probabilities); (ii) PV penetration yields a non-monotonic response with measurable improvements up to intermediate levels and saturation/partial degradation at very high penetrations; and (iii) compound risk is nonlinear, as the mean ENS surface over (rPV,Pext) exhibits a valley at moderate PV and a ridge for large storm probability. A tornado analysis identifies the base failure rate, storm escalation factor and storm exposure as dominant drivers, in line with resilience literature. Overall, the framework provides an auditable, scenario-based tool to co-design DER hosting and resilience investments. Full article
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22 pages, 492 KB  
Article
Measuring Statistical Dependence via Characteristic Function IPM
by Povilas Daniušis, Shubham Juneja, Lukas Kuzma and Virginijus Marcinkevičius
Entropy 2025, 27(12), 1254; https://doi.org/10.3390/e27121254 - 12 Dec 2025
Viewed by 740
Abstract
We study statistical dependence in the frequency domain using the integral probability metric (IPM) framework. We propose the uniform Fourier dependence measure (UFDM) defined as the uniform norm of the difference between the joint and product-marginal characteristic functions. We provide a theoretical analysis, [...] Read more.
We study statistical dependence in the frequency domain using the integral probability metric (IPM) framework. We propose the uniform Fourier dependence measure (UFDM) defined as the uniform norm of the difference between the joint and product-marginal characteristic functions. We provide a theoretical analysis, highlighting key properties, such as invariances, monotonicity in linear dimension reduction, and a concentration bound. For the estimation of the UFDM, we propose a gradient-based algorithm with singular value decomposition (SVD) warm-up and show that this warm-up is essential for stable performance. The empirical estimator of UFDM is differentiable, and it can be integrated into modern machine learning pipelines. In experiments with synthetic and real-world data, we compare UFDM with distance correlation (DCOR), Hilbert–Schmidt independence criterion (HSIC), and matrix-based Rényi’s α-entropy functional (MEF) in permutation-based statistical independence testing and supervised feature extraction. Independence test experiments showed the effectiveness of UFDM at detecting some sparse geometric dependencies in a diverse set of patterns that span different linear and nonlinear interactions, including copulas and geometric structures. In feature extraction experiments across 16 OpenML datasets, we conducted 160 pairwise comparisons: UFDM statistically significantly outperformed other baselines in 20 cases and was outperformed in 13. Full article
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22 pages, 4536 KB  
Article
Evaluation of Seismic Performance of K-Shaped Eccentrically Braced Steel Frame Considering Aftershocks, Link and Beam-Column Joint Damage
by Zhengao Ma, Haifeng Yu, Yifan Zhu, Zhihui Liu, Qizhi Wang, Cuixia Wei, Tianjiao Jin and Hongzhi Zhang
Buildings 2025, 15(24), 4476; https://doi.org/10.3390/buildings15244476 - 11 Dec 2025
Viewed by 390
Abstract
Damage to structural members or joints can change the load transfer path of the structure. Additionally, structures may experience severe damage or even collapse due to the impact of aftershocks. To investigate the effects of beam-column joint damage, link damage, and aftershocks on [...] Read more.
Damage to structural members or joints can change the load transfer path of the structure. Additionally, structures may experience severe damage or even collapse due to the impact of aftershocks. To investigate the effects of beam-column joint damage, link damage, and aftershocks on the seismic performance of K-shaped eccentrically braced steel frame (K-EBF) structures, incremental dynamic analysis, fragility analysis, and collapse resistance evaluation were conducted using examples of 12-story and 18-story K-EBF structures. The results showed that considering beam-column joint damage, link damage, and aftershocks compared to not considering them, and the maximum inter-story drift ratio (θmax) of the 12-story and 18-story K-EBF structures increased by 11.1% and 20.1%, respectively, under fortification earthquakes, and by 30.0% and 56.7%, respectively, under rare earthquakes. The failure probability of the severe damage limit state of the 12-story and 18-story K-EBF structures increased by 1.0% and 3.0%, respectively, under fortification earthquakes, and by 15.3% and 24.0%, respectively, under rare earthquakes. Additionally, the minimum collapse margin ratios (CMRP = 10%) of the two structures decrease by 27.8% and 32.3%, respectively. The influence of aftershocks on the structural seismic response tends to intensify as the intensity of ground motion increases, and the beam-column joint damage and link damage further increases the failure probability of different damage limit states, leading to a decrease in the minimum collapse resistance coefficient of the structure. Therefore, in the seismic performance analysis of K-EBF structures, the effects of beam-column joint damage, link damage, and aftershocks should be fully considered to accurately reflect the response of structures under seismic actions. Overall, the impact of link damage, as well as aftershocks, on the structural collapse resistance is greater than that of beam-column joint damage. Full article
(This article belongs to the Section Building Structures)
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19 pages, 1821 KB  
Article
Seismic Reliability Analysis of Reinforced Concrete Arch Bridges Considering Component Correlation
by Jianjun Liu, Jijin Zhang, Hanzhao Zhang, Hongping Ye and Xuemin Wang
Buildings 2025, 15(24), 4442; https://doi.org/10.3390/buildings15244442 - 9 Dec 2025
Viewed by 353
Abstract
To more effectively account for the correlation between components in the seismic reliability analysis of reinforced concrete arch bridges, this study proposes a system seismic reliability analysis method based on the D-vine Copula function. First, based on the theories of seismic vulnerability and [...] Read more.
To more effectively account for the correlation between components in the seismic reliability analysis of reinforced concrete arch bridges, this study proposes a system seismic reliability analysis method based on the D-vine Copula function. First, based on the theories of seismic vulnerability and hazard, the seismic vulnerability curves of key components (arch ring, piers, main girder, columns) and the site hazard curves are obtained. Second, a trial algorithm is used to determine alternative combinations of Pair-Copula functions. The maximum likelihood estimation method is employed to solve for the parameter θ, and the optimal Pair-Copula function is selected based on AIC and BIC information criteria. The optimal Pair-Copula function for each layer in the D-vine structure is determined through hierarchical iteration, ultimately constructing a seismic reliability evaluation framework for arch bridge systems that incorporates component correlations. The results show that the damage probability of the arch ring is consistently the highest, followed by the piers and main girder, with the columns having the lowest probability. Compared to ignoring component correlation, the seismic reliability indices of the system under minor, moderate, severe damage, and complete failure states all decrease when correlation is considered, indicating that component correlation significantly affects system reliability. Ignoring correlation leads to an overestimation of the system’s seismic performance. The seismic reliability indices obtained by the D-vine Copula method and Monte Carlo simulation are in good agreement, with a maximum relative error not exceeding 2.26%, verifying the applicability and accuracy of the D-vine Copula method in the reliability analysis of complex structural systems. By constructing an accurate joint probability distribution model, this study effectively accounts for the nonlinear correlation characteristics between components. Compared to the traditional Monte Carlo simulation, which relies on large-scale repeated sampling, the D-vine Copula method significantly reduces computational complexity through analytical derivation, improving computational efficiency by over 80%. Full article
(This article belongs to the Section Building Structures)
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40 pages, 560 KB  
Article
On the Motion of a Charged Colloid with a Harmonic Trap
by Yun Jeong Kang, Sung Kyu Seo, Sungchul Kwon and Kyungsik Kim
Fractal Fract. 2025, 9(12), 788; https://doi.org/10.3390/fractalfract9120788 - 1 Dec 2025
Viewed by 477
Abstract
In this study, we derive the Fokker–Planck equation for a colloidal particle subject to a harmonic trap and viscous forces under the influence of a magnetic field. We then extend the analysis to a charged colloid driven by both thermal and active noises [...] Read more.
In this study, we derive the Fokker–Planck equation for a colloidal particle subject to a harmonic trap and viscous forces under the influence of a magnetic field. We then extend the analysis to a charged colloid driven by both thermal and active noises in the same magnetic environment. Finally, the case of a charged colloid experiencing a harmonic trap together with thermal and active noises is investigated. Analytical solutions for the joint probability density are obtained in the limits of tτ, tτ, and τ=0. For a colloid under a harmonic trap and magnetic field, the mean squared displacement exhibits a superdiffusive scaling proportional to t3 in the short-time regime (tτ), while the mean squared velocity scales as t when τ=0. For a charged colloid with thermal noise, the mean-squared displacement follows a superdiffusive form t2h+1 for tτ, and the mean squared velocity again scales linearly with time for τ=0. When the active noise is included together with a harmonic trap, the characteristic time scale grows as t4 in the short-time regime, while the mean squared velocity becomes normally diffusive at τ=0. In the long-time limit (tτ) and for τ=0, the moments of the joint probability density under combined thermal and active noises scale as t4h+2, consistent with our analytical results. Notably, as h1/2, the entropy of the joint probability density with thermal noise ζth(t) coincides with that obtained for active noise ζac(t) in both tτ and τ=0 limits. Full article
(This article belongs to the Special Issue Time-Fractal and Fractional Models in Physics and Engineering)
22 pages, 2718 KB  
Article
Joint Beam Position Grouping and RO Allocation for LEO Satellite Communication Systems
by Bojun Guo, Yiming Zhu, Yi Zheng, Yafei Wang, Mengyao Cao, Wenjin Wang and Li Chai
Electronics 2025, 14(23), 4731; https://doi.org/10.3390/electronics14234731 - 30 Nov 2025
Viewed by 385
Abstract
International organizations such as the 3rd Generation Partnership Project (3GPP) and the International Telecommunication Union (ITU) regard non-terrestrial networks (NTNs) as an essential component of the sixth-generation (6G) mobile communication technology and have advanced relevant standardization efforts. Low Earth orbit (LEO) satellite communication [...] Read more.
International organizations such as the 3rd Generation Partnership Project (3GPP) and the International Telecommunication Union (ITU) regard non-terrestrial networks (NTNs) as an essential component of the sixth-generation (6G) mobile communication technology and have advanced relevant standardization efforts. Low Earth orbit (LEO) satellite communication (SatCom) constitutes a key part of NTNs, and efficient uplink random access (RA) is crucial for establishing initial connections in LEO SatCom systems. However, the long propagation delay and wide coverage of LEO satellites substantially increase access latency and collision probability due to the limited number of beams and their constrained coverage areas. In addition, the highly non-uniform spatial distribution of user equipment (UE) further aggravates access inefficiency. To this end, this paper investigates joint beam position grouping and RA channel (RACH) occasions (ROs) allocation (JBPGRA) for LEO SatCom systems. Specifically, we develop a system model for RA under beam hopping and identify the key factors that influence RA performance. Furthermore, we derive expressions for both the instantaneous signal-to-interference-plus-noise ratio (SINR) and the average SINR under a given non-uniform UE spatial distribution. Building on this analysis, the JBPGRA problem is formulated as an integer linear programming problem that seeks to maximize RA success while conserving RO resources under non-uniform UE distribution. To achieve a practical solution, we propose an efficient JBPGRA algorithm composed of beam position classification, sparse beam position grouping, and RO allocation modules. Simulation results demonstrate that, under the same UE density, the proposed JBPGRA scheme achieves over 29% higher access success rate in dense beam positions compared with the uniform baseline adopted in existing SatCom systems, while reducing RO consumption by more than 49% and decreasing the number of beam position groups by over 57%. Full article
(This article belongs to the Special Issue Advances in Satellite/UAV Communications)
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17 pages, 308 KB  
Article
Assessment of Associations Between Sociodemographic and Analysis of Risk Factors for Oral Infectious Pathology in Patients Scheduled for Total Hip and Knee Arthroplasty
by Dana Nicoleta Mihai, Paul Dan Sîrbu, Liliana Savin, Norin Forna, Claudiu Topoliceanu, Cristina Dascălu and Norina Consuela Forna
Clin. Pract. 2025, 15(12), 220; https://doi.org/10.3390/clinpract15120220 - 24 Nov 2025
Viewed by 428
Abstract
The aim of this study was to evaluate the factors associated with the occurrence of oral infection sources in patients scheduled for total hip or knee arthroplasty, with the purpose of establishing standardized preoperative dental triage criteria. Materials and Methods: A retrospective research [...] Read more.
The aim of this study was to evaluate the factors associated with the occurrence of oral infection sources in patients scheduled for total hip or knee arthroplasty, with the purpose of establishing standardized preoperative dental triage criteria. Materials and Methods: A retrospective research was conducted on a study group of 89 patients diagnosed with hip osteoarthritis and knee osteoarthritis at the Clinical Rehabilitation Hospital (Iasi, Romania). Patients were divided according to the status of their oral cavity: study group (n = 51)—patients with diagnosed oral infection sites (oral foci of infection); control group (n = 38)—patients without oral foci of infection. The statistical analysis included a univariate stage followed by a multivariate binary logistic regression to identify demographic and clinical factors associated with the presence of oral foci of infection. Results: The strongest predictor of the presence of oral foci of infection was and Oral Hygiene Index (OHI) scorer of 2, which increased the risk 14.583-fold, followed by being aged between 50 and 65 years (OR = 4.038), tooth brushing once a day or less (OR = 3.488), and male sex (OR = 3.433). An OHI score of 2 raises the probability of oral infectious pathology to 30.3%, which increases to 85.1% when combined with being aged between 50 and 65 years. Conclusions: The risk factors for the presence or oral foci of infection in patients scheduled for total knee or hip arthroplasty support the inclusion of the preoperative assessment and management of these factors in order to reduce the risk of the postoperative periprosthetic joint infections. Full article
26 pages, 1468 KB  
Article
Integrated Bayesian Networks and Linear Programming for Decision Optimization
by Assel Abdildayeva, Assem Shayakhmetova and Galymzhan Baurzhanuly Nurtugan
Mathematics 2025, 13(23), 3749; https://doi.org/10.3390/math13233749 - 22 Nov 2025
Viewed by 779
Abstract
This paper develops a general BN → LP framework for decision optimization under complex, structured uncertainty. A Bayesian network encodes causal dependencies among drivers and yields posterior joint probabilities; a linear program then reads expected coefficients directly from BN marginals to optimize the [...] Read more.
This paper develops a general BN → LP framework for decision optimization under complex, structured uncertainty. A Bayesian network encodes causal dependencies among drivers and yields posterior joint probabilities; a linear program then reads expected coefficients directly from BN marginals to optimize the objective under operational constraints with explicit risk control via chance constraints or small ambiguity sets centered at the BN posterior. This mapping avoids explicit scenario enumeration and separates feasibility from credibility, so extreme but implausible cases are down-weighted rather than dictating decisions. A farm-planning case with interacting factors (weather → disease → yield; demand ↔ price; input costs) demonstrates practical feasibility. Under matched risk control, the BN → LP approach maintains the target violation rate while avoiding the over-conservatism of flat robust optimization and the optimism of independence-based stochastic programming; it also circumvents the inner minimax machinery typical of distributionally robust optimization. Tractability is governed by BN inference over the decision-relevant ancestor subgraph; empirical scaling shows that Markov-blanket pruning, mutual-information screening of weak parents, and structured/low-rank CPDs yield orders-of-magnitude savings with negligible impact on the objective. A standardized, data-and-expert construction (Dirichlet smoothing) and a systematic sensitivity analysis identifies high-leverage parameters, while a receding-horizon DBN → LP extension supports online updates. The method brings the largest benefits when uncertainty is high-dimensional and coupled, and it converges to classical allocations when drivers are few and essentially independent. Full article
(This article belongs to the Special Issue Decision Making and Optimization Under Uncertainty)
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23 pages, 20304 KB  
Article
Cross-Layer Performance Modeling and MAC-Layer Algorithm Design for Power Line Communication Relay Systems
by Zhixiong Chen, Pengjiao Wang, Tianshu Cao, Jiajing Li and Peiru Chen
Appl. Sci. 2025, 15(22), 12019; https://doi.org/10.3390/app152212019 - 12 Nov 2025
Viewed by 381
Abstract
In intelligent meter reading and other applications, power line communication can use relay technology to solve the problem of cross-station or long-distance reliable communication. This study investigates the combined impact of the physical and Media Access Control (MAC) layers on power line relay [...] Read more.
In intelligent meter reading and other applications, power line communication can use relay technology to solve the problem of cross-station or long-distance reliable communication. This study investigates the combined impact of the physical and Media Access Control (MAC) layers on power line relay communication system performance. To this end, cross-layer modeling, optimization, and simulation analysis integrating both layers are conducted. Based on the CSMA algorithm of IEEE 1901 protocol, a cross-layer performance analysis model of two-hop relay power line communication system is established considering the influence of non-ideal channel transmission at physical layer and competitive access at MAC layer on system performance. In order to reduce the high collision probability caused by two competitions of packets in the above scheme, an improved two-hop transmission algorithm based on CSMA-TDMA is proposed. The cross-layer performance of the system under different single-hop and two-hop schemes is compared, and the mechanism of how parameters such as the MAC layer and the physical layer affect the cross-layer performance of the power line communication system is analyzed. And the optimal power allocation factor is obtained by using the sequential quadratic programming method for the joint system throughput and packet loss rate optimization model with the two-hop power constraint. Simulation results show that the two-hop transmission scheme based on CSMA-TDMA can avoid the second-hop competition and backoff process, and has better performance in terms of throughput, packet loss rate, and delay. Full article
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19 pages, 615 KB  
Article
Application of the Bivariate Exponentiated Gumbel Distribution for Extreme Rainfall Frequency Analysis in Contrasting Climates of Mexico
by Carlos Escalante-Sandoval
Water 2025, 17(22), 3205; https://doi.org/10.3390/w17223205 - 9 Nov 2025
Viewed by 657
Abstract
This study proposes a bivariate distribution with Exponentiated Gumbel (BEG) marginals to estimate return levels of annual maximum daily rainfall (AMDR) in Mexico. We analyze 181 gauging stations across two contrasting climates (Coahuila, Tabasco) and compare BEG against Generalized Extreme Value (GEV), Gumbel [...] Read more.
This study proposes a bivariate distribution with Exponentiated Gumbel (BEG) marginals to estimate return levels of annual maximum daily rainfall (AMDR) in Mexico. We analyze 181 gauging stations across two contrasting climates (Coahuila, Tabasco) and compare BEG against Generalized Extreme Value (GEV), Gumbel (G), and Exponentiated Gumbel (EG). Parameters are estimated by maximum likelihood. Model selection uses AICc (primary) and BIC (tie-breaker), both computed from the same maximized log-likelihood. On a per-station basis, BEG yields the lowest AICc for 70% of samples. Differences in return levels become more pronounced at high non-exceedance probabilities. Monte Carlo reliability checks show that BEG reduces bias and mean squared error (MSE) relative to univariate fits. Using L-moments to delineate homogeneous regions and fitting all BEG pairs confirms these results. A worked example (station 5001) shows that bootstrap 95% CIs for BEG are narrower than for EG, illustrating reduced marginal-quantile uncertainty under joint estimation. Together, BEG provides a robust, dependence-aware tool for regional frequency analysis of extreme rainfall. Full article
(This article belongs to the Section Hydrology)
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16 pages, 1901 KB  
Article
Risk Assessment Framework for Structural Failures of Polar Ship Under Ice Loads
by Kai Sun, Xiaodong Chen, Shunying Ji and Haitian Yang
J. Mar. Sci. Eng. 2025, 13(11), 2099; https://doi.org/10.3390/jmse13112099 - 4 Nov 2025
Viewed by 525
Abstract
For polar ships, navigation in ice-covered regions can lead to high risk to structural safety. To study the structural risk induced by ice loads, a risk assessment framework is proposed based on a probabilistic analysis. The fatigue failure probability is derived with the [...] Read more.
For polar ships, navigation in ice-covered regions can lead to high risk to structural safety. To study the structural risk induced by ice loads, a risk assessment framework is proposed based on a probabilistic analysis. The fatigue failure probability is derived with the first-order second-moment (FOSM) method. Typical ice load cases are extracted as a joint probability distribution of ice thickness and ship speed, based on shipboard measurements. Equivalent fatigue stresses for each case are calculated using a coupled discrete element method (DEM) and finite element method (FEM), and fatigue failure probabilities are obtained via linear cumulative damage theory. The ultimate strength failure probability is derived from the reliability theory. The probabilistic distribution of load-carrying capacity for the bow structure, determined by the moment estimation method, is used as the structural resistance, while the ice load distribution identified from shipboard monitoring is treated as the external load. Considering both the likelihood and consequence of failure, a risk matrix is constructed to assess structural failure risk. Inspection and maintenance intervals are then proposed according to the assessed risk levels. This approach offers a quantitative basis for structural risk management, supporting safe navigation and efficient maintenance planning for polar ships. Full article
(This article belongs to the Section Ocean Engineering)
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15 pages, 2924 KB  
Article
A Vine Copula Framework for Non-Stationarity Detection Between Precipitation and Meteorological Factors and Possible Driving Factors
by Yang Liu, Daijing Jiang, Haijun Wang, Cong Han and Guoqing Sang
Atmosphere 2025, 16(11), 1262; https://doi.org/10.3390/atmos16111262 - 4 Nov 2025
Viewed by 561
Abstract
Increasing climate change leads to the variability of dependencies among meteorological factors. Currently, the investigation of the interdependence of meteorological variables primarily focuses on the bivariate relationships, such as precipitation and temperature or precipitation and wind speed. However, the high-dimensional dependencies among multiple [...] Read more.
Increasing climate change leads to the variability of dependencies among meteorological factors. Currently, the investigation of the interdependence of meteorological variables primarily focuses on the bivariate relationships, such as precipitation and temperature or precipitation and wind speed. However, the high-dimensional dependencies among multiple meteorological factors have not been thoroughly explored. This paper proposes a statistical analysis framework that comprehensively analyzes the changes in dependencies among meteorological factors. This statistical analysis framework is based on multivariate joint distributions and enables the detection of dependency change points as well as the analysis of drivers using total probability formulations and orthogonal experiments. Taking the Huang-Huai-Hai region, a recipient area of the South-to-North Water Diversion project, as the study area, we constructed a vine copula-based multivariate joint distribution for precipitation (Pre) and six meteorological factors: temperature (Tm), maximum temperature (Tmax), minimum temperature (Tmin), wind speed (Win), relative humidity (Rhu), and the Southern Oscillation Index (SOI). The results indicate that a change point exists in the dependence of the 7-dimensional variables (Pre and six meteorological factors) in the Huang-Huai-Hai region in 2013. Tmin, Win, and Tmax are the primary driving factors affecting the precipitation–meteorological dependency relationship. The cumulative distribution function (CDF) is used to describe the probability distribution of precipitation and related meteorological factors. The optimal CDF values of the multivariate joint distribution model were achieved with Rhu and Tmax at level 3, SOI and Tm at level 2, and Win and Tmin at level 1. The results can provide a theoretical method for testing the non-stationarity of high-dimensional meteorological variable dependencies and offer conditional probability support for constructing meteorological prediction machine learning models. Full article
(This article belongs to the Section Meteorology)
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