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Robust Nonparametric Inference

Annual Review of Statistics and Its Application, 2020
In this article, we provide a personal review of the literature on nonparametric and robust tools in the standard univariate and multivariate location and scatter, as well as linear regression problems, with a special focus on sign and rank methods, their equivariance and invariance properties, and their robustness and efficiency.
Klaus Nordhausen, Hannu Oja
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Robust Nonparametric Generators of Random Variables

Russian Physics Journal, 2023
A method of constructing consistent and effective algorithms for robust nonparametric generators of random variables is considered for statistical simulation problems and bootstrap procedures. Semiparametric and semi-nonparametric algorithms of generators have been synthesized for inhomogeneous experimental data.
Simakhin, V. A.   +2 more
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Robust Nonparametric Methods

Journal of the American Statistical Association, 2000
(2000). Robust Nonparametric Methods. Journal of the American Statistical Association: Vol. 95, No. 452, pp. 1308-1312.
Thomas P. Hettmansperger   +2 more
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ROBUST NONPARAMETRIC SIMPLIFICATION OF POLYGONAL CHAINS

International Journal of Computational Geometry & Applications, 2013
In this paper we present a novel nonparametric method for simplifying piecewise linear curves and we apply this method as a statistical approximation of structure within sequential data in the plane. Specifically, given a sequence P of n points in the plane that determine a simple polygonal chain consisting of n−1 segments, we describe algorithms for ...
Stephane Durocher   +3 more
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On a Nonparametric Robust Method of Detection of Signals

Journal of Mathematical Sciences, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shevlyakov, G. L.   +2 more
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Robust nonparametric estimation for functional data

Journal of Nonparametric Statistics, 2008
Robust estimation provides an alternative approach to classical methods, for instance, when the data are affected by the presence of outliers.
Christophe Crambes   +2 more
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Robust Bayesian Nonparametric Regression

1996
We discuss a Bayesian approach to nonparametric regression which is robust against outliers and discontinuities in the underlying function. Our approach uses Markov chain Monte Carlo methods to perform a Bayesian analysis of conditionally Gaussian state space models.
C. K. Carter, R. Kohn
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Nonparametrics and Robust Methods

1987
The chapters in this book have traced the origin and development of some of the major ideas and applications of statistics. A large part of this history has to do with inference about the mean of a distribution. In stating a confidence interval or testing a hypothesis about a mean based on sample data, the usual classical technique is to use the ...
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Nonparametric and robust methods in econometrics

Journal of Econometrics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luiz Renato Lima   +3 more
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NONPARAMETRIC LIKELIHOOD: EFFICIENCY AND ROBUSTNESS

The Japanese Economic Review, 2007
Nonparametric likelihood is a natural generalization of parametric likelihood and it offers effective methods for analysing economic models with nonparametric components. This is of great interest, since econometric theory rarely suggests a parametric form of the probability law of data.
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