inprod.fdata | R Documentation |
Computes a inner products of functional data objects of class fdata.
inprod.fdata(fdata1, fdata2 = NULL, w = 1, ...)
fdata1 |
Functional data 1 or curve 1. |
fdata2 |
Functional data 2 or curve 2. |
w |
Vector of weights with length |
... |
Further arguments passed to or from other methods. |
By default it uses weights w=1
.
\left\langle fdata1,fdata2
\right\rangle=\frac{1}{\int_{a}^{b}w(x)dx} \int_{a}^{b} fdata1(x) *
fdata2(x)w(x) dx
The observed points on each curve are equally spaced (by default) or not.
Manuel Febrero-Bande, Manuel Oviedo de la Fuente manuel.oviedo@udc.es
See also inprod and norm.fdata
## Not run:
x<-seq(0,2*pi,length=1001)
fx1<-sin(x)/sqrt(pi)
fx2<-cos(x)/sqrt(pi)
argv<-seq(0,2*pi,len=1001)
fdat0<-fdata(rep(0,len=1001),argv,range(argv))
fdat1<-fdata(fx1,x,range(x))
inprod.fdata(fdat1,fdat1)
inprod.fdata(fdat1,fdat1)
metric.lp(fdat1)
metric.lp(fdat1,fdat0)
norm.fdata(fdat1)
# The same
integrate(function(x){(abs(sin(x)/sqrt(pi))^2)},0,2*pi)
integrate(function(x){(abs(cos(x)/sqrt(pi))^2)},0,2*pi)
## End(Not run)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.