Jing Wang : Polynomial Spline Confidence Bands for Curve Testing

Posted by , part of the Statistics and Data Science Seminar.

At

Oct. 3, 2007, 3:30 p.m.

In

SEO 712

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.