Publications [#258091] of Alan E. Gelfand
search .Papers Published
- Jona-Lasinio, G; Gelfand, A; Jona-Lasinio, M. "Spatial analysis of wave direction data using wrapped Gaussian processes." The Annals of Applied Statistics 6.4 (January, 2012): 1478-1498. [doi]
(last updated on 2023/06/01)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 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. © Institute of Mathematical Statistics, 2012.