Directional data arise in various contexts such as oceanography (wave directions) and meteorology (wind directions), as well as with measurements on a periodic scale (weekdays, hours etc.). Our contribution is to introduce a model-based approach to handle periodic data in the case of measurements taken at spatial locations, anticipating structured dependence between these measurements. We formulate a wrapped Gaussian spatial process model for this setting, induced from a customary \textit{linear} Gaussian process.We build a hierarchical model to handle this situation and show that the fitting of such a model is possible using standard Markov chain Monte Carlo methods. Our approach enables spatial interpolation (and can accommodate measurement error). We illustrate with a set of wave direction data from the Adriatic coast of Italy, generated through a complex computer model.

Analysing Spatial Directional data using Wrapped Gaussian processes / JONA LASINIO, Giovanna; A. E., Gelfand; M., Jona Lasinio. - STAMPA. - (2012), pp. 78-78. (Intervento presentato al convegno 22nd Annual Conference of the International Environmetrics Society tenutosi a h nel 1-6 gennaio 2012).

Analysing Spatial Directional data using Wrapped Gaussian processes

JONA LASINIO, Giovanna;
2012

Abstract

Directional data arise in various contexts such as oceanography (wave directions) and meteorology (wind directions), as well as with measurements on a periodic scale (weekdays, hours etc.). Our contribution is to introduce a model-based approach to handle periodic data in the case of measurements taken at spatial locations, anticipating structured dependence between these measurements. We formulate a wrapped Gaussian spatial process model for this setting, induced from a customary \textit{linear} Gaussian process.We build a hierarchical model to handle this situation and show that the fitting of such a model is possible using standard Markov chain Monte Carlo methods. Our approach enables spatial interpolation (and can accommodate measurement error). We illustrate with a set of wave direction data from the Adriatic coast of Italy, generated through a complex computer model.
2012
22nd Annual Conference of the International Environmetrics Society
04 Pubblicazione in atti di convegno::04d Abstract in atti di convegno
Analysing Spatial Directional data using Wrapped Gaussian processes / JONA LASINIO, Giovanna; A. E., Gelfand; M., Jona Lasinio. - STAMPA. - (2012), pp. 78-78. (Intervento presentato al convegno 22nd Annual Conference of the International Environmetrics Society tenutosi a h nel 1-6 gennaio 2012).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/431943
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