fg1 | R Documentation |
This function generates fg1 function values for n equally spaced points in [0,1].
fg1(norx=1024)
norx |
the number of data or x values in [0, 1] |
A smooth function fg1 is introduced by Fan and Gijbels (1995) and is useful test function evaluating a wavelet shrinkage method.
fg1 function values f(i/n), i=1,…,n and its variability ||f|| = ∑_{i=1}^n (f_i - mena(f))^2 / (n-1) where mena(f) = ∑_{i=1}^n f_i / n.
Fan, J. and Gijbels, I. (1995) Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation. Journal of the Royal Statistical Society Ser. B 57, 371–394.
dopp
, heav
, ppoly
.
testfg1 <- fg1(1024) plot(testfg1$x, testfg1$meanf, xlab="", ylab="", main="Plot of fg1 function", type="l")
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