Bivariate splines for ozone concentration predictions
Abstract
For ground level ozone prediction, we consider a functional linear
regression model where the explanatory variable is a real random
surface and the response is a real random variable. We use bivariate
splines over triangulations to represent the random surfaces. Then we
use this representation to construct two solutions, a least squares estimate of the regression function based on a brute force approach, and an autoregressive estimator based on a principal component analysis. We
apply these two functional linear models to ground level ozone forecasting over the United States to illustrate the predictive skills of these two methods. We also extend the brute force approach to a model where both the explanatory variable and the response are both real random surfaces.
URI
http://purl.galileo.usg.edu/uga_etd/ettinger_bree_d_200908_phdhttp://hdl.handle.net/10724/25790