Przemysław Grzegorzewski (1995)
Applicationes Mathematicae
Nonparametric tests for the two-sample location problem are investigated. It is shown that the supremum of the size of any test can be arbitrarily close to 1. None of these tests is most robust against dependence.
Alexander A. Georgiev (1985)
Kybernetika
Stéphane Boucheron, Olivier Bousquet, Gábor Lugosi (2005)
ESAIM: Probability and Statistics
The last few years have witnessed important new developments in the theory and practice of pattern classification. We intend to survey some of the main new ideas that have led to these recent results.
Stéphane Boucheron, Olivier Bousquet, Gábor Lugosi (2010)
ESAIM: Probability and Statistics
The last few years have witnessed important new developments in the theory and practice of pattern classification. We intend to survey some of the main new ideas that have led to these recent results.
Isabel Fraga Alves, Laurens de Haan, Tao Lin (2006)
Publications de l'Institut Mathématique
Griffin, Philip S. (2002)
Electronic Communications in Probability [electronic only]
Iosif Pinelis (2007)
ESAIM: Probability and Statistics
It is proved that the best constant factor in the Rademacher-Gaussian tail comparison is between two explicitly defined absolute constants c1 and c2 such that c2≈1.01 c1. A discussion of relative merits of this result versus limit theorems is given.
Antonio Cuevas, Ricardo Fraiman, László Györfi (2013)
ESAIM: Probability and Statistics
We deal with a subject in the interplay between nonparametric statistics and geometric measure theory. The measure L0(G) of the boundary of a set G ⊂ ℝd (with d ≥ 2) can be formally defined, via a simple limit, by the so-called Minkowski content. We study the estimation of L0(G) from a sample of random points inside and outside G. The sample design assumes that, for each sample point, we know (without error) whether or not that point belongs to G. Under this design we suggest a simple nonparametric...
Simos G. Meintanis, Gilles Stupfler (2015)
Kybernetika
We suggest a nonparametric version of the probability weighted empirical characteristic function (PWECF) introduced by Meintanis et al. [10] and use this PWECF in order to estimate the parameters of arbitrary transformations to symmetry. The almost sure consistency of the resulting estimators is shown. Finite-sample results for i.i.d. data are presented and are subsequently extended to the regression setting. A real data illustration is also included.
TomĂĄĹĄ Jurczyk (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
From the practical point of view the regression analysis and its Least Squares method is clearly one of the most used techniques of statistics. Unfortunately, if there is some problem present in the data (for example contamination), classical methods are not longer suitable. A lot of methods have been proposed to overcome these problematic situations. In this contribution we focus on special kind of methods based on trimming. There exist several approaches which use trimming off part of the observations,...
Jana Jurečková (1983)
Commentationes Mathematicae Universitatis Carolinae
Pascal Massart (2002)
Annales de l'I.H.P. Probabilités et statistiques
Litvinova, V.V., Nikitin, Ya.Yu. (2005)
Zapiski Nauchnykh Seminarov POMI
Komorník, J., Khattar, S.M. (1991)
Acta Mathematica Universitatis Comenianae. New Series
Axel Tenbusch (1994)
Metrika
Eugenia Stoimenova (2007)
Applications of Mathematics
Simple rank statistics are used to test that two samples come from the same distribution. Šidák’s -test (Apl. Mat. 22 (1977), 166–175) is based on the number of observations from one sample that exceed all observations from the other sample. A similar test statistic is defined in Ann. Inst. Stat. Math. 52 (1970), 255–266. We study asymptotic behavior of the moments of both statistics.
C.H. Lin, Shashikala Sukhatme (1993)
Metrika
N. Henze (1984)
Metrika
E. Dettweiler (1978)
Metrika
L. Schüler (1976)
Metrika