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Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain…

Optimization and Control · Mathematics 2023-03-27 Tobias Holicki , Carsten W. Scherer

The multivariate adaptive regression spline (MARS) approach of Friedman (1991) and its Bayesian counterpart (Francom et al. 2018) are effective approaches for the emulation of computer models. The traditional assumption of Gaussian errors…

Methodology · Statistics 2024-07-23 Kellin Rumsey , Devin Francom , Andy Shen

This article proposes doubly robust estimators for the average treatment effect on the treated (ATT) in difference-in-differences (DID) research designs. In contrast to alternative DID estimators, the proposed estimators are consistent if…

Econometrics · Economics 2020-05-07 Pedro H. C. Sant'Anna , Jun B. Zhao

We consider the problem of estimating the error variance in a general linear model when the error distribution is assumed to be spherically symmetric, but not necessary Gaussian. In particular we study the case of a scale mixture of…

Statistics Theory · Mathematics 2013-03-18 Yuzo Maruyama , William E. Strawderman

A common assumption in machine learning is that samples are independently and identically distributed (i.i.d). However, the contributions of different samples are not identical in training. Some samples are difficult to learn and some…

Machine Learning · Computer Science 2021-11-23 Ou Wu , Weiyao Zhu , Yingjun Deng , Haixiang Zhang , Qinghu Hou

In many applied sciences a popular analysis strategy for high-dimensional data is to fit many multivariate generalized linear models in parallel. This paper presents a novel approach to address the resulting multiple testing problem by…

Statistics Theory · Mathematics 2024-10-07 Riccardo De Santis , Jelle J. Goeman , Samuel Davenport , Jesse Hemerik , Livio Finos

Under a partially linear models we study a family of robust estimates for the regression parameter and the regression function when some of the predictor variables take values on a Riemannian manifold. We obtain the consistency and the…

Statistics Theory · Mathematics 2011-05-26 Guillermo Henry , Daniela Rodriguez

The estimation of normalizing constants is a fundamental step in probabilistic model comparison. Sequential Monte Carlo methods may be used for this task and have the advantage of being inherently parallelizable. However, the standard…

Machine Learning · Statistics 2016-08-16 Marco Fraccaro , Ulrich Paquet , Ole Winther

This paper presents a practical and simple fully nonparametric multivariate smoothing procedure that adapts to the underlying smoothness of the true regression function. Our estimator is easily computed by successive application of existing…

Methodology · Statistics 2011-06-08 P. A. Cornillon , N. Hengartner , E. Matzner-Løber

Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic measurement errors and missing covariates. We generalize the…

Statistics Theory · Mathematics 2020-12-15 Banghua Zhu , Jiantao Jiao , Jacob Steinhardt

This note introduces a doubly robust (DR) estimator for regression discontinuity (RD) designs. RD designs provide a quasi-experimental framework for estimating treatment effects, where treatment assignment depends on whether a running…

Econometrics · Economics 2025-01-28 Masahiro Kato

We address the problem of A/B testing, a widely used protocol for evaluating the potential improvement achieved by a new decision system compared to a baseline. This protocol segments the population into two subgroups, each exposed to a…

Machine Learning · Statistics 2025-06-16 Otmane Sakhi , Alexandre Gilotte , David Rohde

In this paper some new proposals for method comparison are presented. On the one hand, two new robust regressions, the M-Deming and the MM-Deming, have been developed by modifying Linnet's method of the weighted Deming regression. The…

Methodology · Statistics 2021-05-12 Giorgio Pioda

Tests of equality of copulas between two samples are introduced and studied using the empirical Bernstein copula process. Three statistics are proposed and their asymptotic properties are established. Besides, a subsampling Bernstein…

Statistics Theory · Mathematics 2023-12-19 Guanjie Lyu , Mohamed Belalia

We consider the robust estimation of the parameters of multivariate Gaussian linear regression models. To this aim we consider robust version of the usual (Mahalanobis) least-square criterion, with or without Ridge regularization. We…

Statistics Theory · Mathematics 2025-10-13 Antoine Godichon-Baggioni , Stephane S. Robin , Laure Sansonnet

In many instances, the application of approximate Bayesian methods is hampered by two practical features: 1) the requirement to project the data down to low-dimensional summary, including the choice of this projection, which ultimately…

Methodology · Statistics 2020-06-26 David T. Frazier

Circular data are data measured in angles and occur in a variety of scientific disciplines. Bayesian methods promise to allow for flexible analysis of circular data. Three existing MCMC methods (Gibbs, Metropolis-Hastings, and Rejection)…

Computation · Statistics 2015-05-12 Kees Tim Mulder , Irene Klugkist

The transfer matrix method is used to analyze resonances in Randall-Sundrum models. Although it has successfully been used previously by us we provide here a comparison between the numerical and analytical models. To reach this we first…

High Energy Physics - Theory · Physics 2013-01-14 G. Alencar , R. R. Landim , M. O. Tahim , R. N. Costa Filho

There are several methods for obtaining very robust estimates of regression parameters that asymptotically resist 50% of outliers in the data. Differences in the behaviour of these algorithms depend on the distance between the regression…

Methodology · Statistics 2014-05-21 Marco Riani , Anthony C. Atkinson , Domenico Perrotta

In the presence of a missing response, reweighting the complete case subsample by the inverse of nonmissing probability is both intuitive and easy to implement. When the population totals of some auxiliary variables are known and when the…

Methodology · Statistics 2014-10-16 Kwun Chuen Gary Chan , Sheung Chi Phillip Yam