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Revista Colombiana de Estadística
Print version ISSN 0120-1751
Rev.Colomb.Estad. vol.42 no.1 Bogotá Jan./June 2019 Epub May 23, 2019
https://doi.org/10.15446/rce.v42n1.77058
Artículos originales de investigación
Some Recent Developments in Inference for Geostatistical Functional Data
Algunos desarrollos recientes en inferencia para datos funcionales geoestadísticos
a Department of Statistics, Colorado State University, Fort Collins, USA. E-mail: Piotr.Kokoszka@colostate.edu
b Department of Statistics, Penn State University, State College, USA. E-mail: mreimherr@psu.edu
We review recent developments related to inference for functions defined at spatial locations. We also consider time series of functions defined at irregularly distributed spatial points or on a grid. We focus on kriging, estimation of the functional mean and principal components, and significance testing, giving special attention to testing spatio-temporal separability in the context of functional data. We also highlight some ideas related to extreme value theory for spatially indexed functional time series.
Key words: Functional data; Spatial statistics
Revisamos desarrollos recientes relacionados con la inferencia de funciones definidas en locaciones espaciales. También consideramos series de tiempo funcionales definidas en puntos espaciales irregularmente distribuidos o en una cuadrícula. Nos centramos en el kriging, la estimación de la media funcional y de los componentes principales, y en la prueba de significancia, dando especial atención a pruebas de separabilidad de espacio-tiempo en el contexto de datos funcionales. También destacamos algunas ideas relaciones con la teoría de valores extremos para series de tiempo funcionales indexadas en el espacio.
Palabras clave: Datos funcionales; Estadística espacial
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Received: January 2017; Accepted: November 2018
This is an open-access article distributed under the terms of the Creative Commons Attribution License
