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Bayesian nonparametric set construction for robust optimization
2015 American Control Conference (ACC), 2015This paper presents a Bayesian nonparametric, data-driven, nonconvex uncertainty set construction for robust optimization. First, a basic uncertainty set is constructed from a union of posterior predictive ellipsoids for the Dirichlet process Gaussian mixture.
Trevor Campbell, Jonathan P. How
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A robust nonparametric method for quantifying undetected extinctions
Conservation Biology, 2016Abstract How many species have gone extinct in modern times before being described by science? To answer this question, and thereby get a full assessment of humanity's impact on biodiversity, statistical methods that quantify undetected extinctions are required.
Chisholm, R. +4 more
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Robust Statistics for Nonparametric Group Analysis in fMRI
3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006., 2006In order to deal with inhomogeneous groups of subjects in fMRI studies, we investigate several robust statistics to perform random-effect analysis on the mean population effect (sign statistic, Wilcoxon's signed rank statistic and empirical t statistic).
Sébastien Mériaux +3 more
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Robust Nonparametric Regression for Heavy-Tailed Data
Journal of Agricultural, Biological and Environmental Statistics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferdos Gorji, Mina Aminghafari
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Essays in Econometrics: Nonparametrics and Robustness
2021This thesis consists of three chapters. In each chapter I consider a particular problem in econometrics with implications for applied research, and in each case I attempt to solve that problem. In Chapter 1 I consider the task of inferring causal effects when only `proxy controls' are available.
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Robust Nonparametric Regression and Modality
2003The paper considers the problem of nonparametric regression with emphasis on controlling the number of local extremes and on resistance against patches of outliers. The robust taut string method is introduced and robustness properties are discussed. An automatic procedure is described.
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Bayesian Robustness and Bayesian Nonparametrics
2000Bayesian robustness studies the sensitivity of Bayesian answers to user inputs, especially to the specification of the prior. Nonparametric Bayesian models, on the other hand, refrain from specifying a specific prior functional form P, but instead assume a second-level hyperprior on P with support on a suitable space of probability measures ...
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Robustness of Statistical Methods and Nonparametric Statistics.
Journal of the Royal Statistical Society. Series A (General), 1987Eric Ziegel, D. Rasch, M. Tiku
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