M
Miguel A. Arcones
Researcher at Binghamton University
Publications - 62
Citations - 2061
Miguel A. Arcones is an academic researcher from Binghamton University. The author has contributed to research in topics: Estimator & Empirical process. The author has an hindex of 21, co-authored 62 publications receiving 1907 citations. Previous affiliations of Miguel A. Arcones include University of Utah & Columbia University.
Papers
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On decoupling, series expansions, and tail behavior of chaos processes
Miguel A. Arcones,Evarist Giné +1 more
TL;DR: The main goal in this article is to learn about the structure of the limit laws of U-processes, and the main goal of this paper is to show how to apply limit laws to chaos random variables such as decoupling, an almost sure representation and integrability.
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On the law of the iterated logarithm for Gaussian processes
TL;DR: The local law of the iterated logarithm for Gaussian processes indexed by arbitrary index sets is discussed, in particular for self-similarGaussian processes.
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A Bernstein-type inequality for U-statistics and U-processes
TL;DR: In this article, a Bernstein-type inequality for non-degenerated U-statistics is presented for the case of U-processes indexed by a uniformly bounded VC subgraph class of functions.
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Nonparametric Estimation of a Distribution Subject to a Stochastic Precedence Constraint
TL;DR: In this paper, the problem of estimating the underlying distribution(s) of experimental data under the assumption that they obey a stochastic precedence (sp) constraint is treated in detail, and two estimation approaches, one based on data shrinkage and the other involving data translation, are used to construct estimators that conform to the sp constraint.
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Estimators Related to $U$-Processes with Applications to Multivariate Medians: Asymptotic Normality
TL;DR: In this article, it was shown that Liu's simplical median and Oja's medians are asymptotically normal under suitable conditions, and this was then applied to prove asymPT normality of Liu's median and of Oja medians in the Euclidean space.