42 citations · 88 across the 34 of their papers we have counts for
35 papers
Time-adaptive infinite-dimensional Gaussian process regression on manifolds
MD Ruiz-Medina, AE Madrid, A Torres-Signes +1
This paper proposes a new formulation of functional Gaussian Process regression on manifolds, based on an Empirical Bayes approach, in the spatiotemporal random field context. We a…
Noncentral limit results for spatiotemporal random fields on manifolds and beyond
M. D. Ruiz-Medina
This paper derives noncentral limit theorems (NCLTs) for suitable scaling of functionals of spatially homogeneous and isotropic, and stationary in time, LRD Gaussian subordinated S…
Long range dependence spectral testing from discretely observed functional time series in manifolds
M. D. Ruiz-Medina, R. M. Crujeiras
A specification test for long range dependence (LRD) in functional time series in manifolds has been formulated in \cite{Ruiz-MedinaCrujeiras24} in the spectral domain for fully ob…
Local Fréchet functional regression in manifolds from time-correlated bivariate curve data
M. D. Ruiz-Medina, A. Torres-Signes
Under mild conditions, a least-squares local linear Fréchet curve predictor is derived for a response and a regressor evaluated in a separable Hilbert space. The conditions that al…
Testing LRD in the spectral domain for functional time series in manifolds
M. D. Ruiz-Medina, R. M. Crujeiras
A statistical hypothesis test for long range dependence (LRD) is formulated in the spectral domain for functional time series in manifolds. The elements of the spectral density ope…
Climate change analysis from LRD manifold functional regression
Diana P. Ovalle-Muñoz, M. Dolores Ruiz-Medina
This work is motivated by the problem of predicting downward solar radiation flux spherical maps from the observation of atmospheric pressure at high cloud bottom. To this aim nonl…
Manifold functional multiple regression model with LRD error term
Diana P. Ovalle-Muñoz, M. Dolores Ruiz-Medina
This paper considers the problem of manifold functional multiple regression with functional response, time--varying scalar regressors, and functional error term displaying Long Ran…
Prediction of air pollutants PM10 by ARBX(1) processes
Javier Álvarez-Liébana, M. Dolores Ruiz-Medina
This work adopts a Banach-valued time series framework for component-wise estimation and prediction, from temporal correlated functional data, in presence of exogenous variables. T…
High-level moving excursions for spatiotemporal Gaussian random fields with long range dependence
N. N. Leonenko, M. D. Ruiz-Medina
The asymptotic behavior of an extended family of integral geometric random functionals, including spatiotemporal Minkowski functionals under moving levels, is analyzed in this pape…
Testing the goodness-of-fit of a functional autoregressive model
W. González-Manteiga, M. D. Ruiz-Medina, M. Febrero-Bande
The proposed Goodness--of--Fit (GoF) test for checking the linear autocorrelation model in a functional time series is based on an empirical process, whose residual marks and covar…
Macroscale structural complexity analysis of subordinated spatiotemporal random fields
J. M. Angulo, M. D. Ruiz-Medina
Large-scale behavior of a wide class of spatial and spatiotemporal processes is characterized in terms of informational measures. Specifically, subordinated random fields defined b…
Point pattern analysis and classification on compact two-point homogeneous spaces evolving time
M. P. Frías, A. Torres, M. D. Ruiz-Medina
This paper introduces a new modeling framework for the statistical analysis of point patterns on a manifold M_{d}, defined by a connected and compact two-point homogeneous space, i…
Global Fréchet regression from time correlated bivariate curve data in manifolds
A. Torres-Signes, M. P. Frías, M. D. Ruiz-Medina
Global Fréchet regression is addressed from the observation of a strictly stationary bivariate curve process, evaluated in a finite--dimensional compact differentiable Riemannian m…
Bayesian surface regression versus spatial spectral nonparametric curve regression
M. D. Ruiz-Medina, D. Miranda
COVID-19 incidence is analyzed at the provinces of some Spanish Communities during the period February-October, 2020. Two infinite-dimensional regression approaches are tested. The…
Sojourn functionals for spatiotemporal random fields with long-memory
N. N. Leonenko, M. D. Ruiz-Medina
This paper addresses the asymptotic analysis of sojourn functionals of spatiotemporal Gaussian random fields with long-range dependence (LRD) in time also known as long memory. Spe…
A spatial functional count model for heterogeneity analysis in time
Torres-Signes, M. P. Frías, J. Mateu +1
A spatial curve dynamical model framework is adopted for functional prediction of counts in a spatiotemporal log-Gaussian Cox process model. Our spatial functional estimation appro…
Spectral analysis of long range dependence functional time series
M. Dolores Ruiz-Medina
Long Range Dependence (LRD) in functional sequences is characterized in the spectral domain under suitable conditions. Particularly, multifractionally integrated functional autoreg…
Spatial Cox processes in an infinite-dimensional framework
M. P. Frías, A. Torres-Signes, M. D. Ruiz-Medina +1
We introduce a new class of spatial Cox processes driven by a Hilbert--valued random log--intensity. We adopt a parametric framework in the spectral domain, to estimate its spatial…
A note on strong-consistency of componentwise ARH(1) predictors
M. D. Ruiz-Medina, J. Alvarez-Liebana
New results on strong-consistency, in the Hilbert-Schmidt and trace operator norms, are obtained, in the parameter estimation of an autoregressive Hilbertian process of order one (…
Strongly consistent autoregressive predictors in abstract Banach spaces
MD Ruiz-Medina, J. Alvarez-Liebana
This work derives new results on strong consistent estimation and prediction for autoregressive processes of order 1 in a separable Banach space B. The consistency results are obta…
Dynamical multiple regression in function spaces, under kernel regressors, with ARH(1) errors
M. D. Ruiz-Medina, D. Miranda, R. M. Espejo
A linear multiple regression model in function spaces is formulated, under temporal correlated errors. This formulation involves kernel regressors. A generalized least-squared regr…
Strongly consistent autoregressive predictors in abstract Banach spaces
M. D. Ruiz-Medina, J. Álvarez-Liébana
This work derives new results on strong consistent estimation and prediction for autoregressive processes of order 1 in a separable Banach space B. The consistency results are obta…
A note on strong-consistency of componentwise ARH(1) predictors
M. D. Ruiz-Medina, J. Álvarez-Liébana
This paper presents a new result on strong-consistency, in the trace norm, of a diagonal componentwise parameter estimator of the autocorrelation operator of an autoregressive proc…
The effect of the spatial domain in FANOVA models with ARH(1) error term
J. Álvarez-Liébana, M. D. Ruiz-Medina
Functional Analysis of Variance (FANOVA) from Hilbert-valued correlated data with spatial rectangular or circular supports is analyzed, when Dirichlet conditions are assumed on the…