Published

2019-01-01

Some Recent Developments in Inference for Geostatistical Functional Data

Algunos desarrollos recientes en inferencia para datos funcionales geoestadísticos

Keywords:

Functional data, Spatial statistics (en)
Datos funcionales, Estadística espacial (es)

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Authors

  • Piotr Kokoszka Department of Statistics, Colorado State University, Fort Collins, USA
  • Matthew Reimherr 2Department of Statistics, Penn State University, State College, USA

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.

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 ó 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.

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