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499 Results Found

  • Article
  • Open Access
6 Citations
5,060 Views
23 Pages

20 April 2020

For multivariate frequency analysis of hydrometeorological data, the copula model is commonly used to construct joint probability distribution due to its flexibility and simplicity. The Maximum Pseudo-Likelihood (MPL) method is one of the most widely...

(This article belongs to the Section Hydrology)
  • Article
  • Open Access
1 Citations
1,283 Views
27 Pages

Improved Monthly Frequency Method Based on Copula Functions for Studying Ecological Flow in the Hailang River Basin, Northeast China

  • Zijun Wang,
  • Yusu Zhao,
  • Jian Shang,
  • Yuanming Wang and ,
  • Changlei Dai and
  • Enzhong Li
  • + 1 author+ 0 author

22 September 2025

Climate change has intensified extreme hydrological events in cold regions, threatening the stability of river ecosystems. The traditional monthly frequency method for calculating ecological flow assumes equal guarantee rates across all months, overl...

(This article belongs to the Special Issue Water Resource Challenges and Sustainable Management Solutions Under the Interaction of Climate Change and Human Activities)
  • Article
  • Open Access
18 Citations
7,080 Views
23 Pages

15 November 2017

Copula functions have been extensively used to describe the joint behaviors of extreme hydrological events and to analyze hydrological risk. Advanced marginal distribution inference, for example, the maximum entropy theory, is particularly beneficial...

(This article belongs to the Special Issue Entropy Applications in Environmental and Water Engineering)
  • Article
  • Open Access
23 Citations
4,256 Views
19 Pages

19 February 2020

The system reliability evaluation of a bridge structure is a complicated problem. Previous studies have commonly used approximate estimation methods, such as the wide bounds method and the narrow bounds method, but neither could obtain an accurate re...

(This article belongs to the Section Civil Engineering)
  • Article
  • Open Access
10 Citations
3,205 Views
10 Pages

Introducing Copula as a Novel Statistical Method in Psychological Analysis

  • Elham Dehghani,
  • Somayeh Hadad Ranjbar,
  • Moharram Atashafrooz,
  • Hossein Negarestani and ,
  • Amir Mosavi and
  • Levente Kovacs
  • + 1 author+ 0 author

During the past decades, the relationship between various psychological parameters had been studied in detail. However, the dependency structure of correlated parameters was rarely investigated. Knowing the dependence structure helps in finding the p...

(This article belongs to the Special Issue Nonparametric Statistics and Machine Learning with Applications in Health Studies)
  • Article
  • Open Access
12 Citations
3,240 Views
25 Pages

20 April 2022

The instability of seabed slope sediments is the main factor influencing the safety of marine resource development. Therefore, to ensure the safe operation of submarine pipelines under complex and uncertain seabed rock and soil conditions, a reliabil...

(This article belongs to the Special Issue Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics)
  • Article
  • Open Access
17 Citations
2,906 Views
18 Pages

Vulnerability Analysis Method Based on Network and Copula Entropy

  • Mengyuan Chen,
  • Jilan Liu,
  • Ning Zhang and
  • Yichao Zheng

23 February 2024

With the deepening of the diversification and openness of financial systems, financial vulnerability, as an endogenous attribute of financial systems, becomes an important measurement of financial security. Based on a network analysis, we introduce a...

(This article belongs to the Special Issue Entropy-Based Applications in Economics, Finance, and Management II)
  • Article
  • Open Access
2 Citations
1,975 Views
18 Pages

Identification Method of Optimal Copula Correlation Characteristic for Geological Parameters of Roof Structure

  • Jiazeng Cao,
  • Tao Wang,
  • Chuanqi Zhu,
  • Jianxin Yu and ,
  • Xu Chen and
  • Xin Zhang
  • + 1 author+ 0 author

16 October 2023

Limited by the actual investigation of coal mine engineering, the measured data obtained are often based on small sample characteristics. How to probabilistically de-integrate the prior information to obtain meaningful statistical values has received...

(This article belongs to the Section Sustainable Engineering and Science)
  • Article
  • Open Access
705 Views
30 Pages

A Copula-Based Scenario Generation Method for Renewable Wind Power Outputs of Two Wind Farms

  • Rong Hu,
  • Xueli Yin,
  • Yingrui Dong,
  • Cheng Xu and ,
  • Weican Yuan and
  • Weiqi Zhang
  • + 1 author+ 0 author

23 July 2026

Renewable wind power output is characterized by strong randomness, volatility, and spatial dependence, which makes accurate two-adjacent wind farm scenario generation essential for stochastic dispatch and secure operation of power systems. To describ...

  • Article
  • Open Access
10 Citations
3,553 Views
20 Pages

A Vine Copula-Based Global Sensitivity Analysis Method for Structures with Multidimensional Dependent Variables

  • Zhiwei Bai,
  • Hongkui Wei,
  • Yingying Xiao,
  • Shufang Song and
  • Sergei Kucherenko

4 October 2021

For multidimensional dependent cases with incomplete probability information of random variables, global sensitivity analysis (GSA) theory is not yet mature. The joint probability density function (PDF) of multidimensional variables is usually unknow...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
7 Citations
3,105 Views
28 Pages

Evaluation of a New Statistical Method—TIN-Copula–for the Bias Correction of Climate Models’ Extreme Parameters

  • Georgia Lazoglou,
  • Christina Angnostopoulou,
  • Konstantia Tolika and
  • Gräler Benedikt

29 February 2020

During the last decades, global and regional climate models have been widely used for the estimation of future climate conditions. Unfortunately, the models’ estimated values present important biases relative to the observed values, especially...

(This article belongs to the Section Climatology)
  • Article
  • Open Access
17 Citations
7,118 Views
22 Pages

24 March 2020

The dynamic development of commodity derivatives markets has been observed since the mid-2000s. It is related to the development of e-commerce, the inflow of financial investors’ capital, and the emergence of exchange-traded funds and passively...

(This article belongs to the Special Issue Forecasting Financial Markets and Financial Crisis)
  • Article
  • Open Access
7 Citations
3,402 Views
13 Pages

26 January 2021

Tourism demand is severely affected by unpredicted events, which has prompted scholars to examine ways of predicting the effects of positive and negative shocks on tourism, to ensure a sustainable tourism industry. The purpose of this study was to in...

(This article belongs to the Special Issue Big Data and Sustainability in the Tourism Industry)
  • Article
  • Open Access
20 Citations
3,603 Views
21 Pages

A New Wind Speed Scenario Generation Method Based on Principal Component and R-Vine Copula Theories

  • Hui Hwang Goh,
  • Gumeng Peng,
  • Dongdong Zhang,
  • Wei Dai and ,
  • Tonni Agustiono Kurniawan,
  • Kai Chen Goh and
  • Chin Leei Cham
  • + 2 authors+ 0 author

6 April 2022

The intermittent and uncertain properties of wind power have presented enormous obstacles to the planning and steady operation of power systems. In this context, as an effective technique to study wind power uncertainty, the development of an accurat...

  • Article
  • Open Access
26 Citations
4,360 Views
16 Pages

Prognostic analysis for patient survival often employs gene expressions obtained from high-throughput screening for tumor tissues from patients. When dealing with survival data, a dependent censoring phenomenon arises, and thus the traditional Cox mo...

(This article belongs to the Section Molecular Genetics and Genetic Diseases)
  • Article
  • Open Access
3 Citations
682 Views
22 Pages

A Method for Probability Forecasting of Daily Photovoltaic Power Output Based on Multivariate Dynamic Copula Functions and Reinforcement Learning

  • Jun Zhao,
  • Liang Wang,
  • Chaoying Yang,
  • Zhijun Zhao and ,
  • Haonan Dai and
  • Fei Wang
  • + 1 author+ 0 author

Accurate photovoltaic power probability forecasting assists dispatch departments in making rational decisions. Joint probability distributions constructed using Copula functions can flexibly characterize complex nonlinear correlations and tail depend...

(This article belongs to the Section Optoelectronics)
  • Article
  • Open Access
14 Citations
3,615 Views
22 Pages

16 March 2020

A robustness measure is an effective tool to evaluate the anti-interference capacity of the construction schedule. However, most research focuses on solution robustness or quality robustness, and few consider a composite robustness criterion, neglect...

(This article belongs to the Special Issue Short-Term Forecasting in Civil Engineering with Multidisciplinary Approaches: Combined Numerical, Experimental and Statistical Methods)
  • Article
  • Open Access
4 Citations
1,133 Views
24 Pages

A Typical Scenario Generation Method Based on KDE-Copula for PV Hosting Capacity Analysis in Distribution Networks

  • Bo Zhao,
  • Minglei Jiang,
  • Xuyang Wang,
  • Ruizhang Wang and ,
  • Jingyao Xiong,
  • Nan Yang and
  • Zhenhua Li
  • + 2 authors+ 0 author

10 February 2026

Wind-solar power generation is inherently uncertain. These uncertainties bring considerable difficulties to the assessment of hosting capacity. To tackle these difficulties, it is essential to create typical scenarios that can precisely capture the s...

(This article belongs to the Special Issue Applications of Smart Microgrids in Renewable Energy Development)
  • Feature Paper
  • Article
  • Open Access
5 Citations
10,201 Views
22 Pages

Design Combination Optimized Approach for Urban Stormwater and Drainage Systems Using Copula-Based Method

  • Yixuan Zhong,
  • Xiaolong Liao,
  • Ling Yi,
  • Dagang Wang and ,
  • Leping Wu and
  • Yuanyuan Li
  • + 1 author+ 0 author

27 May 2022

Waterlogging disasters cause huge loss of life and property damage every year. In this research, a Copula-based optimization method is proposed to solve the problems in bivariate design of urban stormwater and drainage systems resulting from ignoranc...

(This article belongs to the Special Issue Urban Water Security and Sustainable Development)
  • Article
  • Open Access
7 Citations
3,890 Views
11 Pages

The COVID-19 pandemic has had a substantial and far-reaching impact on global economic growth, extending its effects to Indonesia as well. Various sectors have witnessed a decline in stock returns as a consequence. Interestingly, the telecommunicatio...

  • Article
  • Open Access
28 Citations
9,199 Views
15 Pages

4 December 2023

The scenario of renewable energy generation significantly affects the probabilistic distribution system analysis. To reflect the probabilistic characteristics of actual data, this paper proposed a scenario generation method that can reflect the spati...

(This article belongs to the Section Sustainable Engineering and Science)
  • Feature Paper
  • Article
  • Open Access
12 Citations
5,107 Views
21 Pages

Bias Correction of RCM Precipitation by TIN-Copula Method: A Case Study for Historical and Future Simulations in Cyprus

  • Georgia Lazoglou,
  • George Zittis,
  • Christina Anagnostopoulou,
  • Panos Hadjinicolaou and
  • Jos Lelieveld

4 July 2020

Numerical models are being used for the simulation of recent climate conditions as well as future projections. Due to the complexity of the Earth’s climate system and processes occurring at sub-grid scales, model results often diverge from the...

(This article belongs to the Special Issue Precipitation: Forecasting and Climate Projections)
  • Article
  • Open Access
22 Citations
5,424 Views
19 Pages

Bias Correction of Climate Model’s Precipitation Using the Copula Method and Its Application in River Basin Simulation

  • Georgia Lazoglou,
  • Christina Anagnostopoulou,
  • Charalampos Skoulikaris and
  • Konstantia Tolika

22 March 2019

During the last few decades, the utilization of the data from climate models in hydrological studies has increased as they can provide data in the regions that lack raw meteorological information. The data from climate models data often present biase...

(This article belongs to the Special Issue Hydrological and Hydro-Meteorological Extremes and Related Risk and Uncertainty)
  • Article
  • Open Access
1 Citations
951 Views
19 Pages

Seismic Reliability Analysis of Reinforced Concrete Arch Bridges Considering Component Correlation

  • Jianjun Liu,
  • Jijin Zhang,
  • Hanzhao Zhang,
  • Hongping Ye and
  • Xuemin Wang

9 December 2025

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, b...

(This article belongs to the Section Building Structures)
  • Article
  • Open Access
27 Citations
7,264 Views
16 Pages

31 October 2022

The fluctuations in oil have strong implications on many financial assets not to mention its relationship with gold prices, exchange rates, stock markets, and investor sentiment. Recent evidence suggests nonlinear contagion among the factors stated a...

(This article belongs to the Special Issue Statistical Methods in Economics)
  • Article
  • Open Access
10 Citations
3,086 Views
13 Pages

3 March 2023

The rationality of heavy vehicle models is crucial to the structural safety assessment of bridges. To establish a realistic heavy vehicle traffic flow model, this study proposes a heavy vehicle random traffic flow simulation method that fully conside...

(This article belongs to the Special Issue Structural Health Monitoring: Advanced Sensing, Diagnostics and Prognostics)
  • Article
  • Open Access
41 Citations
6,737 Views
15 Pages

Uncertainty of Hydrological Drought Characteristics with Copula Functions and Probability Distributions: A Case Study of Weihe River, China

  • Panpan Zhao,
  • Haishen Lü,
  • Guobin Fu,
  • Yonghua Zhu and ,
  • Jianbin Su and
  • Jianqun Wang
  • + 1 author+ 0 author

8 May 2017

This study investigates the sensitivity and uncertainty of hydrological droughts frequencies and severity in the Weihe Basin, China during 1960–2012, by using six commonly used univariate probability distributions and three Archimedean copulas to fit...

  • Article
  • Open Access
11 Citations
3,869 Views
14 Pages

In recent years, with the intensification of global warming, extreme weather has become more frequent, intensifying the uncertainty of new energy output and load power, and seriously affecting the safe operation of power systems. Scene generation is...

(This article belongs to the Special Issue Fast-Charging Station for Electric Vehicles: Challenges and Issues)
  • Article
  • Open Access
448 Views
19 Pages

3 July 2026

To address the strong variability, complex cyclic characteristics, and difficulty in characterizing the main shaft torque load of vertical ring-die biomass briquetting machines, this study proposes a random load spectrum generation method based on ke...

(This article belongs to the Special Issue Applied Numerical Analysis and Computing in Mechanical Engineering)
  • Article
  • Open Access
71 Views
26 Pages

13 November 2026

Hydrological design of agricultural production infrastructure requires sub-daily design rainfall, yet climate-change projections are mostly daily, making temporal disaggregation indispensable. This study compares three daily-to-hourly methods—t...

(This article belongs to the Special Issue Sustainable Agricultural Water Management Under Climate Change)
  • Article
  • Open Access
8 Citations
3,801 Views
11 Pages

New Bivariate Pareto Type II Models

  • Lamya Baharith and
  • Hind Alzahrani

6 May 2019

Pareto type II distribution has been studied from many statisticians due to its important role in reliability modelling and lifetime testing. In this article, we introduce two bivariate Pareto Type II distributions; one is derived from copula and the...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
8 Citations
2,987 Views
17 Pages

2 August 2024

This research envisages a system composed of three subsystems connected in series. Each subsystem comprises three units connected in parallel. For the system to function, at least one unit per subsystem must remain operational. Unit failure is govern...

  • Article
  • Open Access
485 Views
40 Pages

31 July 2026

This paper investigates the epistemic uncertainty associated with dependence modeling and its impact on structural reliability analysis when data for vine structure selection is limited. Conventionally, the vine copula model characterizing dependent...

  • Article
  • Open Access
1 Citations
1,615 Views
21 Pages

A 2D-CFAR Target Detection Method in Sea Clutter Based on Copula Theory Using Dual-Observation Channels

  • Xingyu Jiang,
  • Jiyuan Tan,
  • Yunlong Dong,
  • Juan Li and ,
  • Jian Guan,
  • Guoqing Wang and
  • Ningbo Liu
  • + 2 authors+ 0 author

29 November 2025

The target detection method based on a constant false alarm rate (CFAR) and feature space is commonly used in remote sensing for detecting maritime targets within sea clutter. However, the performance of traditional CFAR techniques heavily relies on...

(This article belongs to the Special Issue Technical Developments in Radar—Processing and Application (2nd Edition))
  • Article
  • Open Access
15 Citations
4,265 Views
16 Pages

Development of a Maximum Entropy-Archimedean Copula-Based Bayesian Network Method for Streamflow Frequency Analysis—A Case Study of the Kaidu River Basin, China

  • Xiangming Kong,
  • Xueting Zeng,
  • Cong Chen,
  • Yurui Fan and ,
  • Guohe Huang,
  • Yongping Li and
  • Chunxiao Wang
  • + 2 authors+ 0 author

27 December 2018

Frequency analysis of streamflow is critical for water-resources system planning, water conservancy projects and the mitigation of hydrological extremes events. In this study, a maximum entropy-Archimedean copula-based Bayesian network (MECBN) method...

(This article belongs to the Section Hydrology)
  • Article
  • Open Access
3 Citations
2,192 Views
37 Pages

17 August 2024

Structural planes are one of the key factors controlling the stability of rock masses. A comprehensive understanding of the spatial distribution characteristics of structural planes is essential for accurately identifying key blocks, analyzing rock m...

(This article belongs to the Topic Artificial Intelligence (AI) Applied in Civil Engineering, 2nd Volume)
  • Article
  • Open Access
51 Citations
5,802 Views
18 Pages

Copula-Based Abrupt Variations Detection in the Relationship of Seasonal Vegetation-Climate in the Jing River Basin, China

  • Jing Zhao,
  • Shengzhi Huang,
  • Qiang Huang,
  • Hao Wang and ,
  • Guoyong Leng,
  • Jian Peng and
  • Haixia Dong
  • + 2 authors+ 0 author

9 July 2019

Understanding the changing relationships between vegetation coverage and precipitation/temperature (P/T) and then exploring their potential drivers are highly necessary for ecosystem management under the backdrop of a changing environment. The Jing R...

(This article belongs to the Special Issue Observations, Modeling, and Impacts of Climate Extremes)
  • Article
  • Open Access
432 Views
34 Pages

13 August 2026

With the large-scale integration of distributed photovoltaic generation (PV) into modern distribution networks, the inherent stochasticity and volatility of renewable energy outputs have imposed non-negligible impacts on the secure and economic opera...

(This article belongs to the Special Issue Advanced Control Systems for Power Electronics, Smart Grids, and Renewable Energy Integration)
  • Article
  • Open Access
1,613 Views
23 Pages

A Copula Function–Monte Carlo Method-Based Assessment of the Risk of Agricultural Water Demand in Xinjiang, China

  • Xianli Wang,
  • Zhigang Zhao,
  • Feilong Jie,
  • Jingjing Xu and ,
  • Sheng Li,
  • Kun Hao and
  • Youliang Peng
  • + 2 authors+ 0 author

7 November 2024

Agricultural water resources in Xinjiang, China, face significant supply and demand contradictions. Agricultural water demand risk is a key factor impacting water resource management. This study employs the copula function (CF) and Monte Carlo (MC) m...

(This article belongs to the Section Agricultural Water Management)
  • Article
  • Open Access
16 Citations
3,261 Views
20 Pages

Bivariate Copulas Based on Counter-Monotonic Shock Method

  • Farid El Ktaibi,
  • Rachid Bentoumi,
  • Nicola Sottocornola and
  • Mhamed Mesfioui

24 October 2022

This paper explores the properties of a family of bivariate copulas based on a new approach using the counter-monotonic shock method. The resulting copula covers the full range of negative dependence induced by one parameter. Expressions for the copu...

  • Article
  • Open Access
1 Citations
909 Views
26 Pages

Spatiotemporal Evolution and Propagation of Meteorological Drought and Agricultural Drought: A Case Study of the Western Loess Plateau of China

  • Huimin Hou,
  • Di Lu,
  • Dongmeng Zhou,
  • Changjie Chen and ,
  • Junxing Bai,
  • Feng Guo,
  • Haohao Li,
  • Zhiqiang Bao,
  • Mingyang Qin and
  • Yufei Cheng
  • + 7 authors+ 2 authors

27 February 2026

Research on the evolutionary patterns and propagation mechanisms of different drought types is of great significance for regional water resources management and the prevention and control of agricultural drought risks. Taking the arid region in the w...

(This article belongs to the Section Ecosystem, Environment and Climate Change in Agriculture)
  • Article
  • Open Access
15 Citations
4,791 Views
16 Pages

Optimal Allocation of Energy Storage System Considering Multi-Correlated Wind Farms

  • Shuli Wen,
  • Hai Lan,
  • Qiang Fu,
  • David C. Yu and ,
  • Ying-Yi Hong and
  • Peng Cheng
  • + 1 author+ 0 author

4 May 2017

With the increasing penetration of wind power, not only the uncertainties but also the correlation among the wind farms should be considered in the power system analysis. In this paper, Clayton-Copula method is developed to model the multiple correla...

(This article belongs to the Special Issue Sustainable and Renewable Energy Systems)
  • Article
  • Open Access
641 Views
25 Pages

10 December 2025

Although shale gas is an important energy source in the energy transition, its development faces multidimensional challenges across economic, environmental, social and technological domains. Traditional evaluation methods struggle to quantify interde...

(This article belongs to the Topic Advances and Application in Intelligent Oil and Gas Field Development Technology)
  • Article
  • Open Access
701 Views
20 Pages

11 December 2025

Studying the thermodynamic properties of soft rocks is critical for geothermal energy extraction, as it elucidates their temperature-dependent mechanical behaviors and heat transfer mechanisms, thereby optimizing reservoir stimulation, enhancing extr...

(This article belongs to the Section J2: Thermodynamics)
  • Article
  • Open Access
3 Citations
7,195 Views
60 Pages

This study evaluates three pairs trading strategies—the distance method (DM), mispricing index (MPI) copula, and mixed copula—across the Chinese equity market from 2005 to 2024, incorporating time-varying transaction costs. To enhance com...

(This article belongs to the Special Issue Financial Funds, Risk and Investment Strategies)
  • Article
  • Open Access
13 Citations
7,741 Views
16 Pages

Bivariate Drought Analysis Using Streamflow Reconstruction with Tree Ring Indices in the Sacramento Basin, California, USA

  • Jaewon Kwak,
  • Soojun Kim,
  • Gilho Kim,
  • Vijay P. Singh and ,
  • Jungsool Park and
  • Hung Soo Kim
  • + 1 author+ 0 author

30 March 2016

Long-term streamflow data are vital for analysis of hydrological droughts. Using an artificial neural network (ANN) model and nine tree-ring indices, this study reconstructed the annual streamflow of the Sacramento River for the period from 1560 to 1...

(This article belongs to the Special Issue Water Resource Variability and Climate Change)
  • Article
  • Open Access
20 Citations
5,740 Views
27 Pages

Copula-Based Estimation Methods for a Common Mean Vector for Bivariate Meta-Analyses

  • Jia-Han Shih,
  • Yoshihiko Konno,
  • Yuan-Tsung Chang and
  • Takeshi Emura

18 January 2022

Traditional bivariate meta-analyses adopt the bivariate normal model. As the bivariate normal distribution produces symmetric dependence, it is not flexible enough to describe the true dependence structure of real meta-analyses. As an alternative to...

(This article belongs to the Special Issue Symmetrical and Asymmetrical Distributions in Statistics and Data Science)
  • Article
  • Open Access
4 Citations
5,883 Views
11 Pages

27 October 2016

Various manmade features (diversions, dredging, regulation, etc.) have affected water levels in the Great Lakes and their outlets since the 19th century. The goal of this study is to analyze the impacts of such features on the stationarity and depend...

  • Article
  • Open Access
10 Citations
3,307 Views
16 Pages

14 July 2020

The hinged slab bridge is widely used in medium- and small-span bridges because of its simple structure and convenient construction. However, hinge joints damage is the main defect of this kind of bridge, and it is difficult to express the determinis...

(This article belongs to the Section Civil Engineering)
  • Article
  • Open Access
13 Citations
8,800 Views
24 Pages

Non–Parametric Estimation of Mutual Information through the Entropy of the Linkage

  • Maria Teresa Giraudo,
  • Laura Sacerdote and
  • Roberta Sirovich

26 November 2013

A new, non–parametric and binless estimator for the mutual information of a d–dimensional random vector is proposed. First of all, an equation that links the mutual information to the entropy of a suitable random vector with uniformly distributed com...

(This article belongs to the Special Issue Estimating Information-Theoretic Quantities from Data)

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