[grads] [Sem-coll] Applied Mathematics Colloquium on Monday, Nov 6.

[George Skountrianos]

Please join us for the Applied Mathematics Colloquium on Monday, Nov 6. 
Refreshments will be served 10 minutes before the talk.  Interested 
faculty are invited to have dinner with the speaker afterward.

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

Speaker: Jing Wang (University of Illinois at Chicago)
Title: Spline Confidence Bands and Testing the Trend of Leaf Area Index 
of East Africa 

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 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.

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