Statistics and Data Science Seminar
Jing Wang
MSCS, UIC
Polynomial Spline Confidence Bands for Curve Testing
Abstract: Asymptotically exact and conservative confidence bands are obtained for
nonparametric regression function, based on piecewise constant and piecewise
linear spline estimation, respectively. Compared to the pointwise nonparametric
confidence interval of Huang(2003), the confidence bands are inflated only by a
factor of log(n)^{1/2}, similar to the Nadaraya-Watson confidence bands of
Hrdle(1989), and the local polynomial bands of Xia(1998) and Claeskens andVan
Keilegom(2003). Simulation experiments have provided strong evidence that
corroborates with the asymptotic theory. Testing against the linear spline
confidence band, the commonly used trigonometric trend is rejected with highly
significant evidence for the Leaf Area Index of Aquatic Agriculture land, based
on the remote sensing data collected from East Africa.
Wednesday October 3, 2007 at 3:30 PM in SEO 712