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Distance multivariance is a multivariate dependence measure, which can detect dependencies between an arbitrary number of random vectors each of which can have a distinct dimension. Here we discuss several new aspects, present a concise…

Statistics Theory · Mathematics 2020-04-17 Björn Böttcher

We assess empirical models in climate econometrics using modern statistical learning techniques. Existing approaches are prone to outliers, ignore sample dependencies, and lack principled model selection. To address these issues, we…

Applications · Statistics 2025-05-26 Christof Schötz , Jan Hassel , Christian Otto

Degradation data are essential for determining the reliability of high-end products and systems, especially when covering multiple degradation characteristics (DCs). Modern degradation studies not only measure these characteristics but also…

Methodology · Statistics 2025-04-09 Zhengzhi Lin , Xiao Liu , Yisha Xiang , Yili Hong

Floods are the most common and among the most severe natural disasters in many countries around the world. As global warming continues to exacerbate sea level rise and extreme weather, governmental authorities and environmental agencies are…

Applications · Statistics 2021-10-07 Lauren Ansell , Luciana Dalla Valle

This article extends the multivariate extreme value theory (MEVT) to discrete settings, focusing on the generalized Pareto distribution (GPD) as a foundational tool. The purpose of the study is to enhance the understanding of extreme…

Methodology · Statistics 2025-06-25 Samira Aka , Marie Kratz , Philippe Naveau

Simultaneous concurrence of extreme values across multiple climate variables can result in large societal and environmental impacts. Therefore, there is growing interest in understanding these concurrent extremes. In many applications, not…

Applications · Statistics 2021-03-16 Whitney K. Huang , Adam H. Monahan , Francis W. Zwiers

Global sensitivity analysis with variance-based measures suffers from several theoretical and practical limitations, since they focus only on the variance of the output and handle multivariate variables in a limited way. In this paper, we…

Statistics Theory · Mathematics 2013-11-12 Sébastien Da Veiga

Multivariate geostatistics is based on modelling all covariances between all possible combinations of two or more variables at any sets of locations in a continuously indexed domain. Multivariate spatial covariance models need to be built…

Methodology · Statistics 2016-10-10 Noel Cressie , Andrew Zammit-Mangion

Agricultural production is affected by climate extremes, which are increasing because of global warming. This motivates the need of a proper evaluation of the agricultural production systems resilience to enhance food security, market…

Populations and Evolution · Quantitative Biology 2019-02-08 Matteo Zampieri , Christof Weissteiner , Bruna Grizzetti , Andrea Toreti , Maurits van den Berg M. , Frank Dentener

Experimentally observed networks of interacting dynamical systems are inferred from recorded multivariate time series by evaluating a statistical measure of dependence, usually the cross-correlation coefficient, or mutual information. These…

Data Analysis, Statistics and Probability · Physics 2017-07-03 Milan Palus

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

Concurrent floods and concurrent droughts in nearby catchments pose challenges to risk assessment and water management. Climate change is affecting extremely high and low discharge, but the complex interplay between changes in individual…

Applications · Statistics 2026-04-24 C. J. R. Murphy-Barltrop , J. Richards , B. Poschlod , A. Sasse , J. Zscheischler

The emergent dynamics of complex systems often arise from the internal dynamical interactions among different elements and hence is to be modeled using multiple variables that represent the different dynamical processes. When such systems…

Chaotic Dynamics · Physics 2024-11-05 Shivam Kumar , R. Misra , G. Ambika

In this article, we review the interdisciplinary techniques (borrowed from physics, mathematics, statistics, machine-learning, etc.) and methodological framework that we have used to understand climate systems, which serve as examples of…

Data Analysis, Statistics and Probability · Physics 2024-05-29 Alka Yadav , Sourish Das , Anirban Chakraborti

Drought has been perceived as a persistent threat globally and the complex mechanism of various factors contributing to its emergence makes it more troublesome to understand. Droughts and their severity trends have been a point of concern…

Computers and Society · Computer Science 2024-11-08 Ujjwal , Shikha C. Patel , Bansari K. Shah , Nicholas Ogbonna , Huthaifa I Ashqar

Reliable forecasting is critical for early warning systems and adaptive drought management. Most previous deep learning approaches focus solely on homogeneous regions and rely on single-structured data. This paper presents a hybrid neural…

Machine Learning · Computer Science 2025-04-09 Julian Agudelo , Vincent Guigue , Cristina Manfredotti , Hadrien Piot

The probability of a drought for a particular region is crucial when making decisions related to agriculture. Forecasting this probability is critical for management and challenging at the same time. The prediction model should consider…

Machine Learning · Computer Science 2022-09-02 V. Grabar , A. Lukashevich , A. Zaytsev

Multi-objective evaluation is a necessary aspect when managing complex systems, as the intrinsic complexity of a system is generally closely linked to the potential number of optimization objectives. However, an evaluation makes no sense…

Physics and Society · Physics 2016-08-03 Juste Raimbault

Drought poses a pervasive environmental challenge in Bangladesh, impacting agriculture, socio-economic stability, and food security due to its unique geographic and anthropogenic vulnerabilities. Traditional drought indices, such as the…

Machine Learning · Computer Science 2025-06-06 Tonmoy Paul , Mrittika Devi Mati , Md. Mahmudul Islam

This paper introduces a Bayesian hierarchical modeling framework within a fully probabilistic setting for crop yield estimation, model selection, and uncertainty forecasting under multiple future greenhouse gas emission scenarios. By…

Applications · Statistics 2025-07-30 Dan Li , Vassili Kitsios , David Newth , Terence John O'Kane