Lijian Yang
Statistics and Probabilty
Michigan State University
Spline Confidence Band and Hypothesis Testing of Leaf Area
Index Trend in East Africa
Asymptotically exact/conservative confidence bands are obtained for
nonparametric regression function, based on piecewise constant/linear
polynomial spline estimation, respectively. Compared to the pointwise
nonparametric confidence interval of Huang (2003), the confidence bands are
inflated only by a factor of square root of logarithm of sample size,
similar to the Nadaraya-Watson confidence band of H\"{a}rdle (1989), and the
local polynomial bands of Xia (1998) and Claeskens and Van 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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