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This chapter makes a review, in a complete methodological framework, of various global sensitivity analysis methods of model output. Numerous statistical and probabilistic tools (regression, smoothing, tests, statistical learning, Monte…

Statistics Theory · Mathematics 2014-04-10 Bertrand Iooss , Paul Lemaître

As recently pointed out in the field of Global Sensitivity Analysis (GSA) of computer simulations, the use of replicated Latin Hypercube Designs (rLHDs) is a cost-saving alternative to regular Monte Carlo sampling to estimate first-order…

Computation · Statistics 2021-03-18 Guillaume Damblin , Alberto Ghione

The so-called polynomial chaos expansion is widely used in computer experiments. For example, it is a powerful tool to estimate Sobol' sensitivity indices. In this paper, we consider generalized chaos expansions built on general tensor…

Statistics Theory · Mathematics 2019-06-25 O Roustant , F. Gamboa , B Iooss

Epidemic forecasting tools embrace the stochasticity and heterogeneity of disease spread to predict the growth and size of outbreaks. Conceptually, stochasticity and heterogeneity are often modeled as branching processes or as percolation…

Populations and Evolution · Quantitative Biology 2025-07-08 Mariah C. Boudreau , William H. W. Thompson , Christopher M. Danforth , Jean-Gabriel Young , Laurent Hébert-Dufresne

The R package bsvarSIGNs implements state-of-the-art algorithms for the Bayesian analysis of Structural Vector Autoregressions identified by sign, zero, and narrative restrictions. It offers fast and efficient estimation thanks to the…

Econometrics · Economics 2025-01-29 Xiaolei Wang , Tomasz Woźniak

Causal conclusions from observational studies may be sensitive to unmeasured confounding. In such cases, a sensitivity analysis is often conducted, which tries to infer the minimum amount of hidden biases or the minimum strength of…

Methodology · Statistics 2025-01-03 Dongxiao Wu , Xinran Li

We present csSampling, an R package for estimation of Bayesian models for data collected from complex survey samples. csSampling combines functionality from the probabilistic programming language Stan (via the rstan and brms R packages) and…

Computation · Statistics 2023-08-15 Ryan Hornby , Matthew R. Williams , Terrance D. Savitsky , Mahmoud Elkasabi

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

Methodology · Statistics 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

The aim of this paper is to present and describe SimLab 1.1 (Simulation Laboratory for Uncertainty and Sensitivity Analysis) software designed for Monte Carlo analysis that is based on performing multiple model evaluations with…

Discrete Mathematics · Computer Science 2007-05-23 N. Giglioli , A. Saltelli

Recent developments in data science and big data research have produced an abundance of large data sets that are too big to be analyzed in their entirety, due to limits on either computer memory or storage capacity. Here, we introduce our R…

Applications · Statistics 2015-04-27 Alexey Miroshnikov , Evgeny Savel'ev , Erin M. Conlon

Misclassified binary outcome or mediator variables can cause unpredictable bias in resulting parameter estimates. As more datasets that were not originally collected for research purposes are being used for studies in the social and health…

Computation · Statistics 2025-01-15 Kimberly A. Hochstedler Webb , Martin T. Wells

Hyperspectral remote sensing is a promising tool for a variety of applications including ecology, geology, analytical chemistry and medical research. This article presents the new \hsdar package for R statistical software, which performs a…

Other Statistics · Statistics 2019-05-28 Lukas W. Lehnert , Hanna Meyer , Wolfgang A. Obermeier , Brenner Silva , Bianca Regeling , Jörg Bendix

Multivariate spatio-temporal data refers to multiple measurements taken across space and time. For many analyses, spatial and time components can be separately studied: for example, to explore the temporal trend of one variable for a single…

Computation · Statistics 2026-02-24 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

This paper introduces generalized Sobol' indices, compares strategies for their estimation, and makes a systematic search for efficient estimators. Of particular interest are contrasts, sums of squares and indices of bilinear form which…

Numerical Analysis · Mathematics 2012-05-09 Art B. Owen

In this paper we build a joint model which can accommodate for binary, ordinal and continuous responses, by assuming that the errors of the continuous variables and the errors underlying the ordinal and binary outcomes follow a multivariate…

Methodology · Statistics 2024-11-06 Laura Vana-Gür , Rainer Hirk

This paper introduces an R package ForecastTB that can be used to compare the accuracy of different forecasting methods as related to the characteristics of a time series dataset. The ForecastTB is a plug-and-play structured module, and…

Methodology · Statistics 2020-07-22 Neeraj Dhanraj Bokde , Zaher Mundher Yaseen , Gorm Bruun Andersen

The increasing use of stochastic models for describing complex phenomena warrants surrogate models that capture the reference model characteristics at a fraction of the computational cost, foregoing potentially expensive Monte Carlo…

Machine Learning · Computer Science 2024-06-10 Neil Kichler , Sher Afghan , Uwe Naumann

Chaos expansions are widely used in global sensitivity analysis (GSA), as they leverage orthogonal bases of L2 spaces to efficiently compute Sobol' indices, particularly in data-scarce settings. When derivatives are available, we argue that…

Statistics Theory · Mathematics 2025-10-06 O Roustant , N Lüthen , D Heredia , B Sudret

The numerical availability of statistical inference methods for a modern and robust analysis of longitudinal- and multivariate data in factorial experiments is an essential element in research and education. While existing approaches that…

Computation · Statistics 2018-01-25 Sarah Friedrich , Frank Konietschke , Markus Pauly

Software development innovations and advances in computing have enabled more complex and less costly computations in medical research (survival analysis), engineering studies (reliability analysis), and social sciences event analysis…

Applications · Statistics 2020-03-25 Renato Valladares Panaro
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