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16,745 Results Found

  • Review
  • Open Access
22 Citations
6,313 Views
25 Pages

Multivariate Birnbaum-Saunders Distributions: Modelling and Applications

  • Robert G. Aykroyd,
  • Víctor Leiva and
  • Carolina Marchant

8 March 2018

Since its origins and numerous applications in material science, the Birnbaum–Saunders family of distributions has now found widespread uses in some areas of the applied sciences such as agriculture, environment and medicine, as well as in quality co...

  • Article
  • Open Access
24 Citations
4,799 Views
20 Pages

Dimensionality Reduction, Modelling, and Optimization of Multivariate Problems Based on Machine Learning

  • Mohammed Alswaitti,
  • Kamran Siddique,
  • Shulei Jiang,
  • Waleed Alomoush and
  • Ayat Alrosan

21 June 2022

Simulation-based optimization design is becoming increasingly important in engineering. However, carrying out multi-point, multi-variable, and multi-objective optimization work is faced with the “Curse of Dimensionality”, which is highly...

  • Article
  • Open Access
9 Citations
4,605 Views
25 Pages

Flooding often has a negative impact on society. In particular, widespread flood events can cause a lot of damage. These events are often spatially and temporally heterogeneous and should be duly considered for an appropriate analysis of flooding. Th...

  • Article
  • Open Access
7 Citations
4,371 Views
10 Pages

Assessment of the Most Impactful Combination of Factors Associated with Nocturia and to Define Nocturnal Polyuria by Multivariate Modelling

  • Tine Olesen,
  • Jerome Paul,
  • Pierre Gramme,
  • Marcus J. Drake and ,
  • Johan Vandewalle and
  • Karel Everaert
  • + 1 author+ 0 author

16 July 2020

Background: Nocturia is common and associated with multiple disease states. Many potential mechanisms have been proposed for nocturia, which also remains challenging to manage. Purpose: To use multivariate analysis to determine which combinations of...

(This article belongs to the Section Nephrology & Urology)
  • Review
  • Open Access
16 Citations
3,129 Views
28 Pages

Multivariate Modelling and Prediction of High-Frequency Sensor-Based Cerebral Physiologic Signals: Narrative Review of Machine Learning Methodologies

  • Nuray Vakitbilir,
  • Abrar Islam,
  • Alwyn Gomez,
  • Kevin Y. Stein and ,
  • Logan Froese,
  • Tobias Bergmann,
  • Amanjyot Singh Sainbhi,
  • Davis McClarty,
  • Rahul Raj and
  • Frederick A. Zeiler
  • + 5 authors+ 0 author

20 December 2024

Monitoring cerebral oxygenation and metabolism, using a combination of invasive and non-invasive sensors, is vital due to frequent disruptions in hemodynamic regulation across various diseases. These sensors generate continuous high-frequency data st...

(This article belongs to the Special Issue Advances in Biomedical Sensing, Instrumentation and Systems: 2nd Edition)
  • Article
  • Open Access
539 Views
22 Pages

Effect of Pretreatment Strategies on White Skin Composting Assessed via Multivariate Analysis and Neural Network Modelling

  • Tea Sokač Cvetnić,
  • Korina Krog,
  • Davor Valinger,
  • Tamara Jurina and ,
  • Maja Benković,
  • Jasenka Gajdoš Kljusurić,
  • Tamara Jakovljević,
  • Katarina Lisak Jakopović,
  • Ivana Radojčić Redovniković and
  • Ana Jurinjak Tušek
  • + 5 authors+ 0 author

12 July 2026

This study examines the impact of various pretreatments on the composting of white grape skin (Vitis vinifera cv. Graševina) over a 30-day aerobic composting period. The pretreatments included the extraction of bioactive compounds from the gra...

(This article belongs to the Section Agricultural Biosystem and Biological Engineering)
  • Article
  • Open Access
3 Citations
5,501 Views
21 Pages

Multivariate Student versus Multivariate Gaussian Regression Models with Application to Finance

  • Thi Huong An Nguyen,
  • Anne Ruiz-Gazen,
  • Christine Thomas-Agnan and
  • Thibault Laurent

To model multivariate, possibly heavy-tailed data, we compare the multivariate normal model (N) with two versions of the multivariate Student model: the independent multivariate Student (IT) and the uncorrelated multivariate Student (UT). After recal...

(This article belongs to the Special Issue Applied Econometrics)
  • Feature Paper
  • Article
  • Open Access
32 Citations
7,362 Views
19 Pages

Key Factors for Activated Carbon Adsorption of Pharmaceutical Compounds from Wastewaters: A Multivariate Modelling Approach

  • Rui M. C. Viegas,
  • Ana S. Mestre,
  • Elsa Mesquita,
  • Miguel Machuqueiro and ,
  • Marta A. Andrade,
  • Ana P. Carvalho and
  • Maria João Rosa
  • + 2 authors+ 0 author

8 January 2022

Projection to Latent Structures (PLS) regression, a generalization of multiple linear regression, is used to model two datasets (40 observed data points each) of adsorption removal of three pharmaceutical compounds (PhCs), of different therapeutic cl...

(This article belongs to the Section Wastewater Treatment and Reuse)
  • Article
  • Open Access
10 Citations
11,334 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
150 Views
21 Pages

Bayesian Joint Modeling of Multivariate Longitudinal and Time-to-Event Data Using Multivariate Skew-Normal Random Errors

  • Mequanent Wale Mekonen,
  • Yehenew Getachew Kifle,
  • Zeytu Gashaw Asfaw,
  • Frank Konietschke and
  • Angela Alibrandi

2 November 2026

Joint models have become the standard framework for simultaneously analyzing longitudinal biomarkers and time-to-event outcomes because they account for their underlying association. However, most existing joint models are restricted to a single long...

(This article belongs to the Special Issue Human Data Science)
  • Article
  • Open Access
2 Citations
2,849 Views
21 Pages

The Multivariate Skewed Log-Birnbaum–Saunders Distribution and Its Associated Regression Model

  • Guillermo Martínez-Flórez,
  • Sandra Vergara-Cardozo,
  • Roger Tovar-Falón and
  • Luisa Rodriguez-Quevedo

22 February 2023

In this article, a multivariate extension of the unit-sinh-normal (USHN) distribution is presented. The new distribution, which is obtained from the conditionally specified distributions methodology, is absolutely continuous, and its marginal distrib...

(This article belongs to the Special Issue Probability, Statistics & Symmetry)
  • Article
  • Open Access
1,510 Views
29 Pages

Model Error Modeling for a Class of Multivariable Systems Utilizing Stochastic Embedding Approach with Gaussian Mixture Models

  • Rafael Orellana,
  • Maria Coronel,
  • Rodrigo Carvajal,
  • Pedro Escárate and
  • Juan C. Agüero

12 March 2025

Many real-world multivariable systems need to be modeled to capture the interconnected behavior of their physical variables and to understand how uncertainty in actuators and sensors affects the system dynamics. In system identification, some estimat...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
1 Citations
624 Views
27 Pages

A Flexible Bayesian Semi-Parametric Multivariate Mixed-Effect Model Framework for Skewed Longitudinal Data

  • Mequanent Wale Mekonen,
  • Angela Alibrandi,
  • Tsion Wolanewos Asfaw,
  • Yehenew Getachew Kifle and ,
  • Frank Konietschke and
  • Zeytu Gashaw Asfaw
  • + 1 author+ 0 author

6 June 2026

While existing mixed-effects models address multivariate outcomes, nonlinearity, or non-normality separately, their joint integration remains limited in medical research. This study proposes a flexible semi-parametric multivariate mixed-effects model...

(This article belongs to the Special Issue Advances in Flexible Parametric Distributions for Modeling Skewness and Kurtosis)
  • Article
  • Open Access
3,061 Views
26 Pages

6 July 2022

This paper considers a multivariate time series model for stock prices in the stock market. A multivariate heterogeneous autoregressive (HAR) model is adopted with exponentially decaying coefficients. This model is not only suitable for multivariate...

(This article belongs to the Special Issue Applications of Statistical Physics in Finance and Economics)
  • Article
  • Open Access
2 Citations
3,176 Views
14 Pages

26 August 2018

With the purpose of introducing dependence between different types of claims, multivariate collective models have recently gained a lot of attention. However, when it comes to the evaluation of the corresponding compound distribution, the problems in...

  • Article
  • Open Access
1,273 Views
23 Pages

6 August 2025

Multivariate space–time datasets are often collected at discrete, regularly monitored time intervals and are typically treated as components of time series in environmental science and other applied fields. To effectively characterize such data...

(This article belongs to the Special Issue Statistical Methods for Modeling High-Dimensional and Complex Data: Second Edition)
  • Article
  • Open Access
6 Citations
2,327 Views
11 Pages

11 July 2022

In light of the increasing level of correlation and dependence between the crude oil markets and the external influencing factors in the related financial markets, we propose a new multivariate empirical decomposition convolutional neural network mod...

(This article belongs to the Special Issue Mathematical Methods in Energy Economy)
  • Article
  • Open Access
2,027 Views
17 Pages

11 May 2024

Several extensions of the basic scalar variable logistic density to the multivariate and matrix-variate cases, in the real and complex domains, are given where the extended forms end up in extended zeta functions. Several cases of multivariate and ma...

  • Article
  • Open Access
5 Citations
3,850 Views
18 Pages

22 November 2020

In this work, multivariate heterogeneous autoregressive-realized volatility (HAR-RV) models are discussed with their least squares estimations. We consider multivariate HAR models of order p with q multiple assets to explore the relationships between...

  • Article
  • Open Access
8 Citations
6,279 Views
23 Pages

Multivariate Count Data Models for Time Series Forecasting

  • Yuliya Shapovalova,
  • Nalan Baştürk and
  • Michael Eichler

5 June 2021

Count data appears in many research fields and exhibits certain features that make modeling difficult. Most popular approaches to modeling count data can be classified into observation and parameter-driven models. In this paper, we review two models...

(This article belongs to the Special Issue Time Series Modelling)
  • Article
  • Open Access
5 Citations
2,870 Views
14 Pages

17 April 2023

Artificial intelligence (AI) technology plays a crucial role in infectious disease outbreak prediction and control. Many human interventions can influence the spread of epidemics, including government responses, quarantine, and economic support. Howe...

(This article belongs to the Special Issue Human–AI Teaming: Synergy, Decision-Making and Interdependency)
  • Article
  • Open Access
2 Citations
5,309 Views
20 Pages

Modelling Bimodal Data Using a Multivariate Triangular-Linked Distribution

  • Daan de Waal,
  • Tristan Harris,
  • Alta de Waal and
  • Jocelyn Mazarura

6 July 2022

Bimodal distributions have rarely been studied although they appear frequently in datasets. We develop a novel bimodal distribution based on the triangular distribution and then expand it to the multivariate case using a Gaussian copula. To determine...

(This article belongs to the Special Issue Multivariate Statistics: Theory and Its Applications)
  • Article
  • Open Access
1 Citations
2,350 Views
17 Pages

9 May 2025

This paper investigated an ultrahigh-dimensional feature screening approach for additive models with multivariate responses. We proposed a nonparametric screening procedure based on random vector correlations between each predictor and multivariate r...

(This article belongs to the Special Issue Parametric and Nonparametric Statistics: From Theory to Applications)
  • Article
  • Open Access
18 Citations
3,018 Views
18 Pages

Forecasting of Inflation Based on Univariate and Multivariate Time Series Models: An Empirical Application

  • Hasnain Iftikhar,
  • Faridoon Khan,
  • Paulo Canas Rodrigues,
  • Abdulmajeed Atiah Alharbi and
  • Jeza Allohibi

28 March 2025

Maintaining stable prices is one of the goals of monetary policy makers. Since its formation, inflation has been a key issue and priority for every Pakistani government; it is a fundamental macroeconomic variable that plays a significant role in a na...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
13 Citations
2,582 Views
14 Pages

Multivariate Sea Surface Prediction in the Bohai Sea Using a Data-Driven Model

  • Song Hu,
  • Qi Shao,
  • Wei Li,
  • Guijun Han and ,
  • Qingyu Zheng,
  • Ru Wang and
  • Hanyu Liu
  • + 2 authors+ 0 author

1 November 2023

Data-driven predictions of marine environmental variables are typically focused on single variables. However, in real marine environments, there are correlations among different oceanic variables. Additionally, sea–air interactions play a signi...

(This article belongs to the Special Issue Sea Surface Temperature: From Observation to Applications II)
  • Article
  • Open Access
2 Citations
3,061 Views
17 Pages

18 June 2019

With the increasing complexity of the active distribution network (ADN) due to distributed generation (DG) integration, together with the electricity market evolution, the traditional ADN is divided into multiple areas to operate independently. Due t...

(This article belongs to the Section A1: Smart Grids and Microgrids)
  • Article
  • Open Access
51 Citations
6,743 Views
11 Pages

Multivariate EMD-Based Modeling and Forecasting of Crude Oil Price

  • Kaijian He,
  • Rui Zha,
  • Jun Wu and
  • Kin Keung Lai

21 April 2016

Recent empirical studies reveal evidence of the co-existence of heterogeneous data characteristics distinguishable by time scale in the movement crude oil prices. In this paper we propose a new multivariate Empirical Mode Decomposition (EMD)-based mo...

(This article belongs to the Special Issue Selected Papers from 6th Annual Conference of Energy Economics and Management)
  • Article
  • Open Access
1,623 Views
27 Pages

The solvent dehydration tower in Purified Terephthalic Acid (PTA) production is characterized by strong multivariable interactions, slow vapor–liquid dynamics, and high sensitivity to upstream disturbances, often limiting the effectiveness of c...

  • Article
  • Open Access
13 Citations
4,275 Views
18 Pages

20 July 2021

A comprehensive auto insurance policy usually provides the broadest protection for the most common events for which the policyholder would file a claim. On the other hand, some insurers offer extended third-party car insurance to adapt to the persona...

  • Article
  • Open Access
1,685 Views
16 Pages

29 December 2022

This paper provides a complete matrix analysis on equivalence problems of estimation and inference results under a true multivariate linear model Y=XΘ+Ψ and its misspecified form Y=XΘ+ZΓ+Ψ with an augmentation part ZΓ...

(This article belongs to the Special Issue Contemporary Contributions to Statistical Modelling and Data Science)
  • Feature Paper
  • Review
  • Open Access
5 Citations
7,121 Views
30 Pages

3 August 2017

The effectiveness of model-based multivariable controllers depends on the quality of the model used. In addition to satisfying standard accuracy requirements for model structure and parameter estimates, a model to be used in a controller must also sa...

(This article belongs to the Collection Process Data Analytics)
  • Article
  • Open Access
5 Citations
4,295 Views
21 Pages

Extreme Runoff Estimation for Ungauged Watersheds Using a New Multisite Multivariate Stochastic Model MASVC

  • Joel Hernández-Bedolla,
  • Liliana García-Romero,
  • Chrystopher Daly Franco-Navarro,
  • Sonia Tatiana Sánchez-Quispe and
  • Constantino Domínguez-Sánchez

19 August 2023

Precipitation is influential in determining runoff at different scales of analysis, whether in minutes, hours, or days. This paper proposes the use of a multisite multivariate model of precipitation at a daily scale. Stochastic models allow the gener...

(This article belongs to the Special Issue Novel Approaches and Metrics to Characterize and Predict Hydrometeorological Extremes: Machine Learning and Numerical Models)
  • Perspective
  • Open Access
23 Citations
6,245 Views
17 Pages

Wind turbines are rotating machines which are subjected to non-stationary conditions and their power depends non-trivially on ambient conditions and working parameters. Therefore, monitoring the performance of wind turbines is a complicated task beca...

(This article belongs to the Section Machines Testing and Maintenance)
  • Article
  • Open Access
7 Citations
3,619 Views
20 Pages

30 April 2025

The rapid progress in artificial intelligence technologies has significantly impacted the global economy, driving transformative changes in manufacturing and giving rise to intelligent manufacturing. In this context, multivariable time-series data ha...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
4 Citations
2,208 Views
29 Pages

Multivariable Model Predictive Control of Cleanroom Pressure Cascades

  • Branislav M. Jeremić and
  • Aleksandar Ž. Rakić

19 August 2025

Cleanrooms are a fundamental setup of every semiconductor and life science factory, representing strictly controlled ambient conditions designed to minimize the air contamination that could affect a product within the production process. A cleanroom...

  • Article
  • Open Access
40 Citations
11,075 Views
25 Pages

22 December 2021

Hybrid methods have been shown to outperform pure statistical and pure deep learning methods at forecasting tasks and quantifying the associated uncertainty with those forecasts (prediction intervals). One example is Exponential Smoothing Recurrent N...

  • Article
  • Open Access
33 Citations
7,185 Views
15 Pages

In this study, monthly streamflow and satellite-based actual evapotranspiration data (AET) were used to evaluate the Soil and Water Assessment Tool (SWAT) model for the calibration of an experimental sub-basin with mixed land-use characteristics in A...

(This article belongs to the Special Issue Advances in Flow Modeling for Water Resources and Hydrological Engineering)
  • Article
  • Open Access
3 Citations
3,038 Views
24 Pages

Improving Simulations of Rice Growth and Nitrogen Dynamics by Assimilating Multivariable Observations into ORYZA2000 Model

  • Jinmin Li,
  • Liangsheng Shi,
  • Jingye Han,
  • Xiaolong Hu and ,
  • Chenye Su and
  • Shenji Li
  • + 1 author+ 0 author

17 October 2024

The prediction of crop growth and nitrogen status is essential for agricultural development and food security under climate change scenarios. Crop models are powerful tools for simulating crop growth and their responses to environmental variables, bu...

(This article belongs to the Section Precision and Digital Agriculture)
  • Article
  • Open Access
20 Citations
4,605 Views
12 Pages

30 March 2020

Owing to frequent traffic accidents and casualties nowadays, the ability to predict the number of traffic accidents in a period is significant for the transportation department to make decisions scientifically. However, owing to many variables affect...

  • Article
  • Open Access
12 Citations
4,238 Views
17 Pages

Performance Assessment of Natural Wastewater Treatment Plants by Multivariate Statistical Models: A Case Study

  • Mahmoud Gad,
  • Sayeda M. Abdo,
  • Anyi Hu,
  • Mohamed Azab El-Liethy and ,
  • Mohamed S. Hellal,
  • Hala S. Doma and
  • Gamila H. Ali
  • + 2 authors+ 0 author

23 June 2022

Waste stabilization ponds (WSPs) as natural wastewater treatment plants are commonly utilized for wastewater treatment due to their simple design, low cost, and low-skilled operator requirements. Large-scale studies assessing the performance of WSPs...

(This article belongs to the Special Issue Sustainability and Circular Economy: Frontier Research on Water Treatment and Purification)
  • Article
  • Open Access
20 Citations
5,464 Views
24 Pages

8 August 2018

The extensive deployment of wireless infrastructure provides a low-cost way to track mobile users in indoor environment. This paper demonstrates a prototype model of an accurate and reliable room location awareness system in a real public environment...

(This article belongs to the Special Issue Applications of Wireless Sensors in Localization and Tracking)
  • Article
  • Open Access
2 Citations
3,984 Views
29 Pages

Development of a Multivariate Model Focused on the Analysis of Water Availability in Mexico

  • Hugo Romero-Montoya,
  • Diana Sánchez-Partida,
  • José-Luis Martínez-Flores and
  • Patricia Cano-Olivos

27 June 2021

The present study proposes developing a multivariate model that predicts water availability in Mexico through 26 variables related to aquifers, renewable water, demographic characteristics, rivers and basins, dams, and irrigation factors. The informa...

(This article belongs to the Section Water Use and Scarcity)
  • Article
  • Open Access
2 Citations
3,005 Views
19 Pages

14 April 2024

We consider a constructive definition of the multivariate Pareto that factorizes the random vector into a radial component and an independent angular component. The former follows a univariate Pareto distribution, and the latter is defined on the sur...

(This article belongs to the Special Issue Bayesianism)
  • Article
  • Open Access
1 Citations
1,228 Views
20 Pages

Feedback Linearization for a Generalized Multivariable T-S Model

  • Basil Mohammed Al-Hadithi,
  • Javier Blanco Rico and
  • Agustín Jiménez

This study presents a novel optimal fuzzy logic control (FLC) strategy based on feedback linearization for the regulation of multivariable nonlinear systems. Building upon an enhanced Takagi–Sugeno (T-S) model previously developed by the author...

(This article belongs to the Section Systems & Control Engineering)
  • Proceeding Paper
  • Open Access
3 Citations
3,034 Views
12 Pages

Bayesian Robust Multivariate Time Series Analysis in Nonlinear Models with Autoregressive and t-Distributed Errors

  • Alexander Dorndorf,
  • Boris Kargoll,
  • Jens-André Paffenholz and
  • Hamza Alkhatib

Many geodetic measurement data can be modelled as a multivariate time series consisting of a deterministic (“functional”) model describing the trend, and a stochastic model of the correlated noise. These data are also often affected by outliers and t...

(This article belongs to the Proceedings of The 7th International Conference on Time Series and Forecasting)
  • Article
  • Open Access
701 Views
21 Pages

Comparison of Initialization Strategies for EM in High-Dimensional Multivariate Diagonal Gaussian Mixture Models

  • Ewa Radwan,
  • Mateusz Kania,
  • Karolina Widzisz,
  • Joanna Zyla and ,
  • Agnieszka Szczęsna and
  • Andrzej Polański
  • + 1 author+ 0 author

29 May 2026

Expectation Maximization (EM) iterations for Gaussian mixture models (GMMs) are highly sensitive to initial parameters, which calls for developing robust initialization methods. For multidimensional GMMs, the problem is even more severe than for univ...

  • Article
  • Open Access
2 Citations
2,420 Views
27 Pages

22 September 2023

Multivariate regression models for real-time coastal air quality forecasting were suggested from 18 to 27 March 2015, with a total of 15 kinds of hourly input data (three-hours-earlier data of PM and gas with meteorological parameters from Kangnung (...

(This article belongs to the Special Issue Short- and Long-Term Air Pollution Analysis, Modeling and Prediction)
  • Article
  • Open Access
1,547 Views
21 Pages

7 August 2024

The multivariate random coefficient autoregression (RCAR) process is widely used in time series modeling applications. Random autoregressive coefficients are usually assumed to be independent and identically distributed sequences of random variables....

(This article belongs to the Section D1: Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
20 Citations
6,490 Views
14 Pages

A Model for Shovel Capital Cost Estimation, Using a Hybrid Model of Multivariate Regression and Neural Networks

  • Abdolreza Yazdani-Chamzini,
  • Edmundas Kazimieras Zavadskas,
  • Jurgita Antucheviciene and
  • Romualdas Bausys

1 December 2017

Cost estimation is an essential issue in feasibility studies in civil engineering. Many different methods can be applied to modelling costs. These methods can be divided into several main groups: (1) artificial intelligence, (2) statistical methods,...

(This article belongs to the Special Issue Civil Engineering and Symmetry)
  • Article
  • Open Access
1 Citations
3,111 Views
14 Pages

A Multivariate Age-Structured Stochastic Model with Immunization Strategies to Describe Bronchiolitis Dynamics

  • Mónica López-Lacort,
  • Ana Corberán-Vallet and
  • Francisco J. Santonja Gómez

Bronchiolitis has a high morbidity in children under 2 years old. Respiratory syncytial virus (RSV) is the most common pathogen causing the disease. At present, there is only a costly humanized monoclonal RSV-specific antibody to prevent RSV. However...

(This article belongs to the Section Infectious Disease Epidemiology)

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