Results 11 to 20 of about 287 (69)
Quantile regression with varying coefficients
, 2007 Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models.
Kim, Mi-Ok
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Robust nonparametric inference for the median
, 2005 We consider the problem of constructing robust nonparametric confidence intervals and tests of hypothesis for the median when the data distribution is unknown and the data may contain a small fraction of contamination.
Yohai, Victor J., Zamar, Ruben H.
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Comparison of robust tests for genetic association using case-control studies
, 2006 In genetic studies of complex diseases, the underlying mode of inheritance is often not known. Thus, the most powerful test or other optimal procedure for one model, e.g. recessive, may be quite inefficient if another model, e.g.
Freidlin, Boris +2 more
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Uniform convergence of adversarially robust classifiers
European Journal of Applied MathematicsIn recent years, there has been significant interest in the effect of different types of adversarial perturbations in data classification problems. Many of these models incorporate the adversarial power, which is an important parameter with an associated
Rachel Morris, Ryan Murray
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Building and using semiparametric tolerance regions for parametric multinomial models
, 2009 We introduce a semiparametric ``tubular neighborhood'' of a parametric model in the multinomial setting. It consists of all multinomial distributions lying in a distance-based neighborhood of the parametric model of interest. Fitting such a tubular model
Lindsay, Bruce G., Liu, Jiawei
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On the existence of solutions to adversarial training in multiclass classification
European Journal of Applied MathematicsAdversarial training is a min-max optimization problem that is designed to construct robust classifiers against adversarial perturbations of data. We study three models of adversarial training in the multiclass agnostic-classifier setting.
Nicolás García Trillos +2 more
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Demonstratio MathematicaThe aim of this article is to study a semi-functional partial linear regression model (SFPLR) for spatial data with responses missing at random (MAR).
Benchikh Tawfik +3 more
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Some facts about functionals of location and scatter
, 2006 Assumptions on a likelihood function, including a local Glivenko-Cantelli condition, imply the existence of M-estimators converging to an M-functional.
Dudley, R. M.
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An asymptotically Gaussian bound on the Rademacher tails [PDF]
, 2011 An explicit upper bound on the tail probabilities for the normalized Rademacher sums is given. This bound, which is best possible in a certain sense, is asymptotically equivalent to the corresponding tail probability of the standard normal distribution ...
Pinelis, Iosif
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