Penalized splines can be viewed as BLUPs in a mixed model framework, which allows the use of mixed model software for smoothing. Thus, software originally developed for Bayesian analysis of mixed models can be used for penalized spline regression. Bayesian inference for nonparametric models enjoys the flexibility of nonparametric models and the exact inference provided by the Bayesian inferenti...

We investigate the asymptotic behavior of Nadaraya-Watson (NW) estimator regression function a τ−mixing process. prove strong consistency and normality this we illustrate these two properties using simulated data.

Abstract Changes on temperature patterns, a local scale, are perceived by individuals as the most direct indicators of global warming and climate change. As specific example, for an Atlantic location, spring fall seasons should present mild transition between winter summer, summer winter, respectively. By observing daily curves along time, being each curve attached to certain calendar day, regr...