تقرير
Spatial analysis of wave direction data using wrapped Gaussian processes
| العنوان: | Spatial analysis of wave direction data using wrapped Gaussian processes |
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| المؤلفون: | Jona-Lasinio, Giovanna, Gelfand, Alan, Jona-Lasinio, Mattia |
| المصدر: | Annals of Applied Statistics 2012, Vol. 6, No. 4, 1478-1498 |
| سنة النشر: | 2013 |
| المجموعة: | Statistics |
| مصطلحات موضوعية: | Statistics - Applications |
| الوصف: | 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. Comment: Published in at http://dx.doi.org/10.1214/12-AOAS576 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org) |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1214/12-AOAS576 |
| URL الوصول: | http://arxiv.org/abs/1301.1446 |
| رقم الأكسشن: | edsarx.1301.1446 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1214/12-AOAS576 |
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