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This paper addresses important weaknesses in current methodology for the estimation of multivariate extreme event distributions. The estimation of the residual dependence index $\eta \in (0,1]$ is notoriously problematic. We introduce a…

Statistics Theory · Mathematics 2025-05-05 Jennifer Israelsson , Emily Black , Claudia Neves , David Walshaw

This work introduces the use of multivariate global sensitivity analysis for assessing the impact of uncertain electric machine design parameters on efficiency maps and profiles. Contrary to the common approach of applying variance-based…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Aylar Partovizadeh , Sebastian Schöps , Dimitrios Loukrezis

It is of growing concern to ensure the resilience in electricity infrastructure systems to extreme weather events with the help of appropriate hardening measures and new operational procedures. An effective mitigation strategy requires a…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Shiva Poudel , Anamika Dubey , Anjan Bose

Sensitivity analysis is concerned with understanding how the model output depends on uncertainties (variances) in inputs and then identifies which inputs are important in contributing to the prediction imprecision. Uncertainty determination…

Physics and Society · Physics 2017-01-04 Yueying Zhu , Qiuping Alexandre Wang , Wei Li , Xu Cai

A general class of models is proposed that is able to estimate the whole predictive distribution of a dependent variable $Y$ given a vector of explanatory variables $\xb$. The models exploit that the strength of explanatory variables to…

Methodology · Statistics 2021-03-25 Gerhard Tutz

One of the fundamental challenges in drawing causal inferences from observational studies is that the assumption of no unmeasured confounding is not testable from observed data. Therefore, assessing sensitivity to this assumption's…

Methodology · Statistics 2024-06-25 Md Abdul Basit , Mahbub A. H. M. Latif , Abdus S Wahed

We introduce a novel measure of dependence that captures the extent to which a random variable $Y$ is determined by a random vector $X$. The measure equals zero precisely when $Y$ and $X$ are independent, and it attains one exactly when $Y$…

Statistics Theory · Mathematics 2026-01-14 Mona Azadkia , Pouya Roudaki

Shapley effects are attracting increasing attention as sensitivity measures. When the value function is the conditional variance, they account for the individual and higher order effects of a model input. They are also well defined under…

Computation · Statistics 2021-10-13 Elmar Plischke , Giovanni Rabitti , Emanuele Borgonovo

Variance-based sensitivity methods can provide insights into large computational models. We present a novel application of sensitivity analysis to the Biomass Scenario Model (BSM) a large and complex system dynamics model of the developing…

Applications · Statistics 2018-03-29 Daniel Inman , Laura J. Vimmerstedt , Brian Bush , Dana Stright , Steve Peterson

We propose a new method for estimating rare event probabilities when independent samples are available. It is assumed that the underlying probability measures satisfy a large deviations principle with a scaling parameter $\varepsilon$ that…

Probability · Mathematics 2018-11-06 Paul Dupuis , Guo-Jhen Wu , Michael Snarski

Omitted variables are one of the most important threats to the identification of causal effects. Several widely used methods assess the impact of omitted variables on empirical conclusions by comparing measures of selection on observables…

Econometrics · Economics 2026-02-05 Paul Diegert , Matthew A. Masten , Alexandre Poirier

Rare events in molecular dynamics are often related to noise-induced transitions between different macroscopic states (e.g., in protein folding). A common feature of these rare transitions is that they happen on timescales that are on…

Probability · Mathematics 2026-01-06 Carsten Hartmann , Annika Jöster , Christof Schütte , Alexander Sikorski , Marcus Weber

We propose a method for the accurate estimation of rare event or failure probabilities for expensive-to-evaluate numerical models in high dimensions. The proposed approach combines ideas from large deviation theory and adaptive importance…

Computation · Statistics 2023-03-28 Shanyin Tong , Georg Stadler

Many tools exist to detect dependence between random variables, a core question across a wide range of machine learning, statistical, and scientific endeavors. Although several statistical tests guarantee eventual detection of any…

Machine Learning · Statistics 2026-03-23 Nathaniel Xu , Feng Liu , Danica J. Sutherland

In this paper we describe an efficient method for providing a regression model with a sense of curiosity about its data. In the field of machine learning, our framework for representing curiosity is called Active Learning, which concerns…

Machine Learning · Computer Science 2025-03-19 Frederik Eaton

Nowadays, the numerical models of real-world structures are more precise, more complex and, of course, more time-consuming. Despite the growth of a computational effort, the exploration of model behaviour remains a complex task. The…

Computational Engineering, Finance, and Science · Computer Science 2014-10-17 Eliska Janouchova , Anna Kucerova

To identify the estimand in missing data problems and observational studies, it is common to base the statistical estimation on the "missing at random" and "no unmeasured confounder" assumptions. However, these assumptions are unverifiable…

Methodology · Statistics 2018-10-09 Qingyuan Zhao , Dylan S. Small , Bhaswar B. Bhattacharya

Hybrid continuous-discrete models naturally represent many real-world applications in robotics, finance, and environmental engineering. Inference with large-scale models is challenging because relational structures deteriorate rapidly…

Machine Learning · Computer Science 2012-10-19 Jaesik Choi , Eyal Amir

The sensitivity analysis of biological system models can significantly contribute to identifying and explaining influences of internal or external changes on model and its elements. We propose here a comprehensive framework to study…

Molecular Networks · Quantitative Biology 2019-02-11 Gaoxiang Zhou , Kai-Wen Liang , Natasa Miskov-Zivanov

A model is proposed for the statistical analysis of arbitrary-strength quantum measurements, based on a picture of "sampling weak values" from different configurations of the system. The model is comprised of two elements: a "local weak…

Quantum Physics · Physics 2007-05-23 Alonso Botero
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