Visualitza Departament: Matemàtiques per autoria "07ab5f2b-6e4d-4f11-b67e-9a97768f392a"
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A spatial randomness test based on the box-counting dimension
Caballero, Yolanda; Giraldo, Ramón; Mateu, Jorge Springer (2022)Statistical modelling of a spatial point pattern often begins by testing the hypothesis of spatial randomness. Classical tests are based on quadrat counts and distance-based methods. Alternatively, we propose a new statistical ... -
Analysis of variance for spatially correlated functional data: Application to brain data
Aristizabal, Jeimy-Paola; Giraldo, Ramón; Mateu, Jorge Elsevier (2019)Functional data showing spatial dependence structure occur in many applied fields. For example, in meteorology when curves of temperature are obtained in a monitoring network, or in neurological studies when curves of the ... -
Geofd: An R Package for Function-Valued Geostatistical Prediction
Giraldo, Ramón; Mateu, Jorge; Delicado, Pedro Universidad Nacional de Colombia (2015-12)Spatially correlated curves are present in a wide range of applied disciplines. In this paper we describe the R package geofd which implements ordinary kriging prediction for this type of data. Initially the curves ... -
High leverage detection in general functional regression models with spatially correlated errors
Romano, Elvira; Giraldo, Ramón; Mateu, Jorge; Diana, Andrea Wiley (2021)The presence of curves that deviate markedly from the core of a set of curves can greatly affect inference and forecasting in a functional regression model. Thus their detection is key to increase the accuracy of the ... -
Multivariate functional random fields: prediction and optimal sampling
Bohorquez Castañeda, Martha Patricia; Giraldo, Ramón; Mateu, Jorge Springer Verlag (2017)This paper develops spatial prediction of a functional variable at unsampled sites, using functional covariates, that is, we present a functional cokriging method. We show that through the representation of each function ... -
Optimal dynamic spatial sampling
Bohorquez Castañeda, Martha Patricia; Giraldo, Ramón; Mateu, Jorge John Wiley & Sons Ltd (2016)This paper provides new tools for dynamic spatial sampling designs to find the optimal spatial mean estimation and the optimal spatial prediction, based on the temporal variation of the spatial dependence structure. We ... -
Residual kriging for functional data. Application to the spatial prediction of salinity curves
Reyes, Adriana; Giraldo, Ramón; Mateu, Jorge Taylor & Francis (2015)Recently several methodologies for carrying out geostatistical analysis of functional data has been proposed. All of them assume that the spatial functional process considered is stationary. However in practice we often ... -
Statistics for spatial functional data: some recent contributions
Delicado, Pedro; Giraldo, Ramón; Comas Rodríguez, Carlos; Mateu, Jorge John Wiley & Sons, Ltd. (2010)Functional data analysis (FDA) is a relatively new branch in statistics. Experiments where a complete function is observed for each individual give rise to functional data. In this work we focus on the case of functional ...