View source: R/ICS_smoothing.R
cics_unif_explicit_smooth | R Documentation |
cics_unif_explicit_smooth
constructs the uniform clamped interpolating spline with k
components that smoothes
given data set {(xx[i],yy[i]), i=1..length(xx)}
.
cics_unif_explicit_smooth( xx, yy, k, clrs = c("blue", "red"), d, xlab = NULL, ylab = NULL, title = NULL, plotTF = TRUE )
xx |
a vector of data set's |
yy |
a vector of datanvidi set's |
k |
a chosen number of components of smoothing UcICS (integer ≥ 2). |
clrs |
a vector of colours that are used alternately to plot the graph of spline's components. |
d |
a vector (optional parameter) that contains two values of derivative, in the first and the last computed node. If missing, values of derivative are estimated by given linear regression model. If present, their contribution is removed from linear model and only function values are estimated. |
xlab |
a title (optional parameter) for the |
ylab |
a title (optional parameter) for the |
title |
a title (optional parameter) for the plot. |
plotTF |
a boolean value (optional parameter), if TRUE then plot. |
a list with components
nodes |
vector of equidistant nodes, based on which we construct the smoothing spline. |
est_spline_coeffs |
S=B.γ. |
est_spline_polynomials |
list of string representations of smoothing UcICS. |
est_gamma |
vector of estimated smoothing spline's coefficients (function values and exterior-node derivatives). |
aux_BF |
A basis function of the spline |
aux_tridiag_inverse |
An inverse of the tridiagonal matrix used for spline derivatives construction |
aux_M |
An estimation matrix used to compute |
cp <- cics_unif_explicit_smooth( xx = CERN$x, yy = CERN$y, k = 19, #23, d = c(1, 0), xlab = "X axis", ylab = "Y axis" )
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