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Jing Wang
Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago

Spline Confidence Bands and Testing the Trend of Leaf Area Index of East Africa

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 sqrt{log(n)}, similar to the Nadaraya-Watson confidence bands of Härdle(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.


Monday, Nov 6, E1 106, 4:35pm

Last updated by George Skontos on 10/20/06

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