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798 Results Found

  • Article
  • Open Access
4 Citations
2,196 Views
23 Pages

Modeling Asymmetric Dependence Structure of Air Pollution Characteristics: A Vine Copula Approach

  • Mohd Sabri Ismail,
  • Nurulkamal Masseran,
  • Mohd Almie Alias and
  • Sakhinah Abu Bakar

14 February 2024

Contaminated air is unhealthy for people to breathe and live in. To maintain the sustainability of clean air, air pollution must be analyzed and controlled, especially after unhealthy events. To do so, the characteristics of unhealthy events, namely...

(This article belongs to the Special Issue Mathematical Theories and Models in Environmental Science)
  • Article
  • Open Access
10 Citations
7,200 Views
20 Pages

Modeling Bivariate Dependency in Insurance Data via Copula: A Brief Study

  • Indranil Ghosh,
  • Dalton Watts and
  • Subrata Chakraborty

Copulas are a quite flexible and useful tool for modeling the dependence structure between two or more variables or components of bivariate and multivariate vectors, in particular, to predict losses in insurance and finance. In this article, we use t...

(This article belongs to the Special Issue Financial Data Analytics and Statistical Learning)
  • Feature Paper
  • Article
  • Open Access
547 Views
32 Pages

5 June 2026

The joint probabilistic modeling of environmental variables is essential for the design and analysis of offshore structures, as it enables the representation of dependence between parameters and the realistic estimation of combined events. This artic...

(This article belongs to the Special Issue Mathematical Modeling Applied to the Analysis of Marine Structures)
  • Article
  • Open Access
1,635 Views
28 Pages

Modeling Ranking Concordance, Dispersion, and Tail Extremes with a Joint Copula Framework

  • Lawrence Fulton,
  • Arvind Sharma,
  • Aleksandar Tomic and
  • Ramalingam Shanmugam

Rankings drive consequential decisions in science, sports, medicine, and business. Conventional evaluation methods typically analyze rank concordance, dispersion, and extremeness in isolation, inviting biased inference when these properties co-move....

  • Article
  • Open Access
42 Citations
7,127 Views
17 Pages

Modeling Co-Movement among Different Agricultural Commodity Markets: A Copula-GARCH Approach

  • Xinyu Yuan,
  • Jiechen Tang,
  • Wing-Keung Wong and
  • Songsak Sriboonchitta

3 January 2020

The aim of this research is to explore the volatility contagion among different agricultural commodity markets. For this purpose, this research make use of the copula-GARCH (Generalized Autoregressive Conditional Heteroskedasticity) model for the dai...

(This article belongs to the Section Sustainable Agriculture)
  • Article
  • Open Access
981 Views
26 Pages

23 February 2026

In large-scale medical data, the connection between hospital length of stay and medical expenses shows a complex and nonlinear relationship instead of a straightforward positive link. This study proposes a Cox–Log-Logistic–Copula joint mo...

(This article belongs to the Special Issue Advances in the Modeling and Analytics of Health and Healthcare Systems)
  • Article
  • Open Access
4 Citations
3,015 Views
14 Pages

1 November 2021

Studies have been implemented in the literature to enhance the safety of traffic barriers by identification of the contributory factors to those crashes. However, almost all those past studies are subject to potential pitfalls of just answering the c...

  • Article
  • Open Access
1 Citations
634 Views
21 Pages

22 April 2026

Wireless Sensor Networks (WSNs) deployed in agricultural and industrial environments require high reliability to ensure continuous monitoring and data transmission. This study presents a reliability analysis of a hybrid WSN system comprising four ser...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
425 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
4 Citations
2,513 Views
17 Pages

3 November 2023

In this study, we assess COVID-19-related mortality in Minnesota and Wisconsin with the aim of demonstrating both the temporal dynamics and the magnitude of the pandemic’s influence from an actuarial risk standpoint. In the initial segment of t...

  • Article
  • Open Access
1 Citations
1,533 Views
27 Pages

A Bivariate Copula–Driven Multi-State Model for Statistical Analysis in Medical Research

  • Hugo Brango,
  • Roger Tovar-Falón and
  • Guillermo Martínez-Flórez

24 September 2025

We develop and evaluate a copula-based multistate model for illness–death processes with dependent transition times. The framework couples Cox proportional hazards models for the marginal transition intensities with Archimedean copulas to captu...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
635 Views
24 Pages

Copulas for Stochastic Volatility Models

  • Mauricio Contreras González,
  • Roberto Ortiz Herrera and
  • Marcelo Villena

27 April 2026

In this article, a Fokker–Planck equation framework for the copula density associated with a two-dimensional stochastic differential equations system is developed. The different information pieces associated with the statistical interdependence prope...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
10 Citations
11,335 Views
24 Pages

Copula-Based Factor Models for Multivariate Asset Returns

  • Eugen Ivanov,
  • Aleksey Min and
  • Franz Ramsauer

Recently, several copula-based approaches have been proposed for modeling stationary multivariate time series. All of them are based on vine copulas, and they differ in the choice of the regular vine structure. In this article, we consider a copula a...

(This article belongs to the Special Issue Recent Developments in Copula Models)
  • Article
  • Open Access
18 Citations
4,802 Views
17 Pages

27 July 2018

Rainfall interception is an important process of the water cycle that can have significant influence on surface runoff and groundwater storage. Since rainfall interception measurements are rare and time consuming, rainfall interception estimation can...

(This article belongs to the Special Issue Advances in Multivariate Analysis of Environmental Phenomena: Celebrating the 15th Anniversary of Copulas in Hydrology)
  • Article
  • Open Access
1 Citations
1,884 Views
16 Pages

A Copula-Based Model for Analyzing Bivariate Offense Data

  • Dimuthu Fernando and
  • Wimarsha Jayanetti

19 November 2025

We developed a class of bivariate integer-valued time series models using copula theory. Each count time series is modeled as a Markov chain, with serial dependence characterized through copula-based transition probabilities for Poisson and Negative...

(This article belongs to the Section General Applied Statistics)
  • Article
  • Open Access
13 Views
56 Pages

4 November 2026

Hybrid microgrids featuring renewables, combined heat and power (CHP), and storage are highly promising systems; however, they suffer from several optimization difficulties, such as degradation, uncertainty, and multi-objective problems. In this pape...

(This article belongs to the Special Issue Engineering Applications of Power Electronics in Renewable Energy Systems)
  • Article
  • Open Access
3 Citations
2,271 Views
32 Pages

6 November 2025

This paper proposes a fuzzy copula-based optimization framework for modeling dependence structures and financial risk under parameter uncertainty. The parameters of selected copula families are represented as trapezoidal fuzzy numbers, and their &alp...

(This article belongs to the Special Issue The Fusion of Fuzzy Sets and Optimization Using Symmetry)
  • Article
  • Open Access
1 Citations
3,827 Views
13 Pages

On the Use of Copula for Quality Control Based on an AR(1) Model

  • Timothy M. Young,
  • Ampalavanar Nanthakumar and
  • Hari Nanthakumar

9 September 2021

Manufacturing for a multitude of continuous processing applications in the era of automation and ‘Industry 4.0’ is focused on rapid throughput while producing products of acceptable quality that meet customer specifications. Monitoring the stability...

  • Review
  • Open Access
47 Citations
10,507 Views
28 Pages

15 April 2015

Entropy is a measure of uncertainty and has been commonly used for various applications, including probability inferences in hydrology. Copula has been widely used for constructing joint distributions to model the dependence structure of multivariate...

(This article belongs to the Special Issue Entropy in Hydrology)
  • Article
  • Open Access
15 Citations
6,663 Views
26 Pages

5 January 2021

An approach to the modelling of volatile time series using a class of uniformity-preserving transforms for uniform random variables is proposed. V-transforms describe the relationship between quantiles of the stationary distribution of the time serie...

(This article belongs to the Special Issue Risks: Feature Papers 2020)
  • Article
  • Open Access
27 Citations
8,081 Views
34 Pages

Risk Measurement and Risk Modelling Using Applications of Vine Copulas

  • David E. Allen,
  • Michael McAleer and
  • Abhay K. Singh

29 September 2017

This paper features an application of Regular Vine copulas which are a novel and recently developed statistical and mathematical tool which can be applied in the assessment of composite financial risk. Copula-based dependence modelling is a popular t...

(This article belongs to the Special Issue Risk Measures with Applications in Finance and Economics)
  • Article
  • Open Access
11 Citations
3,921 Views
15 Pages

1 June 2020

In the automotive industry, it is important to know whether the failure of some car parts may be related to the failure of others. This project studies warranty claims for five engine components obtained from a major car manufacturer with the purpose...

(This article belongs to the Special Issue Young Researchers in Insurance and Risk Management)
  • Article
  • Open Access
5 Citations
2,351 Views
19 Pages

13 April 2023

Investigating the dependence structures among the characteristics of the current unhealthy air pollution events is a valuable endeavor to understand the pollution behavior more clearly and determine the potential future risks. This study determined t...

(This article belongs to the Special Issue Selected Papers from the 5th International Conference on Mathematical Sciences (ICMS5 2023))
  • Article
  • Open Access
20 Citations
5,984 Views
17 Pages

21 September 2017

Issues of missing data have become increasingly serious with the rapid increase in usage of traffic sensors. Analyses of the Beijing ring expressway have showed that up to 50% of microwave sensors pose missing values. The imputation of missing traffi...

(This article belongs to the Special Issue Sensor Networks for Smart Roads)
  • Article
  • Open Access
30 Citations
9,634 Views
22 Pages

Predictive Uncertainty Estimation of Hydrological Multi-Model Ensembles Using Pair-Copula Construction

  • Bastian Klein,
  • Dennis Meissner,
  • Hans-Ulrich Kobialka and
  • Paolo Reggiani

31 March 2016

Predictive uncertainty (PU) is defined as the probability of occurrence of an observed variable of interest, conditional on all available information. In this context, hydrological model predictions and forecasts are considered to be accessible but y...

(This article belongs to the Special Issue Uncertainty Analysis and Modeling in Hydrological Forecasting)
  • Article
  • Open Access
2,773 Views
13 Pages

3 August 2024

The study presents a comparative analysis of climate data under two scenarios: a Gaussian copula marginal regression model for count time series data and a copula-based bivariate count time series model. These models, built after comprehensive simula...

(This article belongs to the Special Issue Statistics and Data Science)
  • Article
  • Open Access
4 Citations
2,500 Views
10 Pages

Research on Establishing Corneal Edema after Phacoemulsification Prediction Model Based on Variable Selection with Copula Entropy

  • Yu Luo,
  • Guangcan Xu,
  • Hongyu Li,
  • Tianju Ma and ,
  • Zi Ye and
  • Zhaohui Li
  • + 1 author+ 0 author

6 February 2023

Background: Corneal edema (CE) affects the outcome of phacoemulsification. Effective ways to predict the CE after phacoemulsification are needed. Methods: On the basis of data from patients conforming to the protocol of the AGSPC trial, 17 variables...

(This article belongs to the Special Issue Cataract Surgery and Postoperative Care – Part II)
  • Article
  • Open Access
8 Citations
4,069 Views
15 Pages

A Bayesian Hierarchical Spatial Copula Model: An Application to Extreme Temperatures in Extremadura (Spain)

  • J. Agustín García,
  • Mario M. Pizarro,
  • F. Javier Acero and
  • M. Isabel Parra

10 July 2021

A Bayesian hierarchical framework with a Gaussian copula and a generalized extreme value (GEV) marginal distribution is proposed for the description of spatial dependencies in data. This spatial copula model was applied to extreme summer temperatures...

(This article belongs to the Section Meteorology)
  • Article
  • Open Access
953 Views
28 Pages

Efficient Modeling of the Energy Sector Using a New Bivariate Copula

  • Jumanah Ahmed Darwish and
  • Muhammad Qaiser Shahbaz

2 February 2026

Copulas are a useful tool to generate bivariate distributions from the univariate marginals. This method is also useful to generate bivariate families of distributions. In this paper, a new copula has been proposed. Some useful properties of the prop...

(This article belongs to the Special Issue Advances in Statistical Methods with Applications)
  • Article
  • Open Access
1 Citations
2,842 Views
15 Pages

A univariate analysis that relies solely on precipitation data in low flow frequency analysis is a technique to express meteorological drought, so it is limited to analyzing the characteristics of hydrological drought related to available water resou...

(This article belongs to the Topic Hydrology and Water Resources Management)
  • Article
  • Open Access
2 Citations
2,205 Views
23 Pages

Estimation of Contagion: Bayesian Model Averaging on Tail Dependence of Mixture Copula

  • Sundusit Saekow,
  • Phisanu Chiawkhun,
  • Woraphon Yamaka,
  • Nawapon Nakharutai and
  • Parkpoom Phetpradap

25 October 2024

This study introduces a novel approach to estimate tail dependence in financial contagion using mixture copulas. Addressing the challenges of weight parameter estimation in conventional models, we propose a Bayesian model averaging method to determin...

(This article belongs to the Special Issue Advanced Statistical Applications in Financial Econometrics)
  • Feature Paper
  • Article
  • Open Access
4 Citations
3,692 Views
18 Pages

6 August 2025

Contextual multi-armed bandits (CMABs) are vital for sequential decision-making in areas such as recommendation systems, clinical trials, and finance. We propose a simulation framework integrating Gaussian Process (GP)-based CMABs with vine copulas t...

(This article belongs to the Special Issue Privacy-Preserving Machine Learning in Large Language Models (LLMs))
  • Article
  • Open Access
4 Citations
3,405 Views
31 Pages

29 March 2023

Copulas are well-known tools for describing the relationship between two or more quantitative variables. They have recently received a lot of attention, owing to the variable dependence complexity that appears in heterogeneous modern problems. In thi...

  • Article
  • Open Access
5 Citations
3,763 Views
20 Pages

A New Bivariate Family Based on Archimedean Copulas: Simulation, Regression Model and Application

  • Gabriela M. Rodrigues,
  • Edwin M. M. Ortega,
  • Roberto Vila and
  • Gauss M. Cordeiro

18 September 2023

We use the Clayton and Frank copulas and the exponentiated odd log-logistic family to define a new flexible bivariate model to fit bimodal and asymmetry data. The copulas allow different distributions for the response variable, thus making analysis m...

(This article belongs to the Special Issue Skewed (Asymmetrical) Probability Distributions and Applications across Disciplines III)
  • Article
  • Open Access
12 Citations
3,493 Views
18 Pages

This study proposes the concept of duration (D) and severity (S) measures, which were derived from unhealthy air pollution events. In parallel with that, the application of a copula model is proposed to evaluate unhealthy air pollution events with re...

(This article belongs to the Special Issue Advances in Air Pollution Meteorology Research)
  • Article
  • Open Access
10 Citations
3,834 Views
12 Pages

Patent Keyword Analysis Using Time Series and Copula Models

  • Jong-Min Kim,
  • Jaeeun Yoon,
  • Sun Young Hwang and
  • Sunghae Jun

29 September 2019

The technological keywords extracted from patent documents have much information about a developed technology. We can understand the technological structure of a product by examining the results of patent analysis. So far, much research has been done...

  • Article
  • Open Access
13 Citations
2,546 Views
21 Pages

31 May 2024

The joint probability density function of wind speed and wind direction serves as the mathematical basis for directional wind energy assessment. In this study, a nonparametric joint probability estimation system for wind velocity and direction based...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
152 Views
26 Pages

22 October 2026

This paper proposes a novel Interval Type-2 fuzzy linguistic framework for assessing the interpretability and linguistic-partition sensitivity of R-vine copula dependence analysis. Kendall’s rank correlation coefficients obtained from the estim...

(This article belongs to the Special Issue Computational Methods and Models in the Financial Risk Management Process)
  • Article
  • Open Access
22 Citations
5,420 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
12 Citations
3,062 Views
28 Pages

A Water Shortage Risk Assessment Model Based on Kernel Density Estimation and Copulas

  • Tanghui Qian,
  • Zhengtao Shi,
  • Shixiang Gu,
  • Wenfei Xi and ,
  • Jing Chen,
  • Jinming Chen,
  • Shihan Bai and
  • Lei Wu
  • + 3 authors+ 0 author

21 May 2024

Accurate assessment and prediction of water shortage risk are essential prerequisites for the rational allocation and risk management of water resources. However, previous water shortage risk assessment models based on copulas have strict requirement...

(This article belongs to the Section Water Use and Scarcity)
  • Article
  • Open Access
5 Citations
4,356 Views
22 Pages

Analysis of the Parametric Correlation in Mathematical Modeling of In Vitro Glioblastoma Evolution Using Copulas

  • Jacobo Ayensa-Jiménez,
  • Marina Pérez-Aliacar,
  • Teodora Randelovic,
  • José Antonio Sanz-Herrera and ,
  • Mohamed H. Doweidar and
  • Manuel Doblaré
  • + 1 author+ 0 author

24 December 2020

Modeling and simulation are essential tools for better understanding complex biological processes, such as cancer evolution. However, the resulting mathematical models are often highly non-linear and include many parameters, which, in many cases, are...

(This article belongs to the Special Issue Numerical Simulation in Biomechanics and Biomedical Engineering)
  • Article
  • Open Access
3 Citations
3,920 Views
23 Pages

21 February 2024

This study investigates the dependence between stress and component strength in a stress–strength model with bivariate stresses by incorporating a specialized Archimedean copula, specifically the 3-dimensional Clayton copula. Diverging from pri...

(This article belongs to the Special Issue Advances and Applications of Uncertainty Theory in Reliability and Systems Engineering)
  • Article
  • Open Access
6 Citations
2,263 Views
21 Pages

16 September 2023

To improve the accuracy of short-term multi-energy load prediction models for integrated energy systems, the historical development law of the multi-energy loads must be considered. Moreover, understanding the complex coupling correlation of the diff...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
6 Citations
3,401 Views
21 Pages

Metallurgical Copper Recovery Prediction Using Conditional Quantile Regression Based on a Copula Model

  • Heber Hernández,
  • Martín Alberto Díaz-Viera,
  • Elisabete Alberdi,
  • Aitor Oyarbide-Zubillaga and
  • Aitor Goti

1 July 2024

This article proposes a novel methodology for estimating metallurgical copper recovery, a critical feature in mining project evaluations. The complexity of modeling this nonadditive variable using geostatistical methods due to low sampling density, s...

(This article belongs to the Topic Mining Innovation)
  • Article
  • Open Access
1 Citations
490 Views
31 Pages

Competing Risks with Common Shocks: Joint Survival, Copulas, Censoring, Frailty, and Marshall–Olkin Models

  • Cristian David Correa-Álvarez,
  • Mario Cesar Jarramillo-Elorza and
  • Osnamir Elias Bru-Cordero

This study examines likelihood-based estimation of the joint survival function S(t1,t2)=Pr{T(1)>t1,T(2)>t2} for systems with two competing failure modes observed under right censoring. Rather than introducing a new distributional family, the st...

(This article belongs to the Section Computational Social Science)
  • Article
  • Open Access
31 Views
18 Pages

5 November 2026

Soil-moisture deficits affect irrigation management in arid irrigated systems, yet their short-term persistence and uncertainty are difficult to quantify at the field scale. This study developed a spatially explicit probabilistic framework combining...

(This article belongs to the Section Agricultural Water Management)
  • Article
  • Open Access
5 Citations
1,943 Views
13 Pages

22 February 2024

In a high proportion of wind–photovoltaic–hydro hybrid power systems, fluctuation and dispersion make it difficult to accurately quantify the output characteristics. Therefore, in this study, a cloud model and copula correlation coefficie...

(This article belongs to the Section A: Sustainable Energy)
  • Article
  • Open Access
2 Citations
2,870 Views
19 Pages

5 September 2020

A new family of probability distributions is defined and applied for modeling symmetric real-life datasets. Some new bivariate type G families using Farlie–Gumbel–Morgenstern copula, modified Farlie–Gumbel–Morgenstern copula,...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
366 Views
17 Pages

30 July 2026

Simulation-dependent energy analysis has long dominated building retrofit research, yet this paradigm presents substantial barriers for non-expert building owners who lack technical software proficiency and detailed building documentation-a challenge...

(This article belongs to the Section Building Energy, Physics, Environment, and Systems)

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