65 citations · 312 across the 17 of their papers we have counts for
18 papers
On a class of Sobolev tests for symmetry of directions, their detection thresholds, and asymptotic powers
Eduardo García-Portugués, Davy Paindaveine, Thomas Verdebout
We consider a class of symmetry hypothesis testing problems including testing isotropy on and testing rotational symmetry on the hypersphere . For…
A review of goodness-of-fit tests for models involving functional data
Wenceslao González-Manteiga, Rosa M. Crujeiras, Eduardo García-Portugués
A sizable amount of goodness-of-fit tests involving functional data have appeared in the last decade. We provide a relatively compact revision of most of these contributions, withi…
Nonparametric tests of independence for circular data based on trigonometric moments
Eduardo García-Portugués, Pierre Lafaye de Micheaux, Simos G. Meintanis +1
We introduce nonparametric tests of independence for bivariate circular data based on trigonometric moments. Our contributions lie in (i) proposing nonparametric tests that are loc…
On a projection-based class of uniformity tests on the hypersphere
Eduardo García-Portugués, Paula Navarro-Esteban, Juan A. Cuesta-Albertos
We propose a projection-based class of uniformity tests on the hypersphere using statistics that integrate, along all possible directions, the weighted quadratic discrepancy betwee…
Goodness-of-fit tests for functional linear models based on integrated projections
Eduardo García-Portugués, Javier Álvarez-Liébana, Gonzalo Álvarez-Pérez +1
Functional linear models are one of the most fundamental tools to assess the relation between two random variables of a functional or scalar nature. This contribution proposes a go…
A Cramér-von Mises test of uniformity on the hypersphere
Eduardo García-Portugués, Paula Navarro-Esteban, Juan A. Cuesta-Albertos
Testing uniformity of a sample supported on the hypersphere is one of the first steps when analysing multivariate data for which only the directions (and not the magnitudes) are of…
Recent advances in directional statistics
Arthur Pewsey, Eduardo García-Portugués
Mainstream statistical methodology is generally applicable to data observed in Euclidean space. There are, however, numerous contexts of considerable scientific interest in which t…
A goodness-of-fit test for the functional linear model with functional response
Eduardo García-Portugués, Javier Álvarez-Liébana, Gonzalo Álvarez-Pérez +1
The Functional Linear Model with Functional Response (FLMFR) is one of the most fundamental models to assess the relation between two functional random variables. In this paper, we…
Discounted optimal stopping of a Brownian bridge, with application to American options under pinning
Bernardo D'Auria, Eduardo García-Portugués, Abel Guada
Mathematically, the execution of an American-style financial derivative is commonly reduced to solving an optimal stopping problem. Breaking the general assumption that the knowled…
An overview of uniformity tests on the hypersphere
Eduardo García-Portugués, Thomas Verdebout
When modeling directional data, that is, unit-norm multivariate vectors, a first natural question is to ask whether the directions are uniformly distributed or, on the contrary, wh…
Toroidal diffusions and protein structure evolution
Eduardo García-Portugués, Michael Golden, Michael Sørensen +3
This chapter shows how toroidal diffusions are convenient methodological tools for modelling protein evolution in a probabilistic framework. The chapter addresses the construction…
Smoothing-based tests with directional random variables
Eduardo García-Portugués, Rosa M. Crujeiras, Wenceslao González-Manteiga
Testing procedures for assessing specific parametric model forms, or for checking the plausibility of simplifying assumptions, play a central role in the mathematical treatment of…
Goodness-of-fit tests for the functional linear model based on randomly projected empirical processes
Juan A. Cuesta-Albertos, Eduardo García-Portugués, Manuel Febrero-Bande +1
We consider marked empirical processes indexed by a randomly projected functional covariate to construct goodness-of-fit tests for the functional linear model with scalar response.…
Testing parametric models in linear-directional regression
Eduardo García-Portugués, Ingrid Van Keilegom, Rosa M. Crujeiras +1
This paper presents a goodness-of-fit test for parametric regression models with scalar response and directional predictor, that is, a vector on a sphere of arbitrary dimension. Th…
Central limit theorems for directional and linear random variables with applications
Eduardo García-Portugués, Rosa M. Crujeiras, Wenceslao González-Manteiga
A central limit theorem for the integrated squared error of the directional-linear kernel density estimator is established. The result enables the construction and analysis of two…
Exact risk improvement of bandwidth selectors for kernel density estimation with directional data
Eduardo García-Portugués
New bandwidth selectors for kernel density estimation with directional data are presented in this work. These selectors are based on asymptotic and exact error expressions for the…
Bootstrap independence test for functional linear models
Wenceslao González-Manteiga, Gil González-Rodríguez, Adela Martínez-Calvo +1
Functional data have been the subject of many research works over the last years. Functional regression is one of the most discussed issues. Specifically, significant advances have…
A goodness-of-fit test for the functional linear model with scalar response
Eduardo García-Portugués, Wenceslao González-Manteiga, Manuel Febrero-Bande
In this work, a goodness-of-fit test for the null hypothesis of a functional linear model with scalar response is proposed. The test is based on a generalization to the functional…