Utils for generate functional data

gridfdata generates n curves as lineal combination of the original curves fdataobj plus a functional trend mu.

Usage

rcombfdata(n = 10, fdataobj, mu, sdarg = rep(1, nrow(fdataobj)), norm = 1)

gridfdata(coef, fdataobj, mu)

Arguments

n

Number of curves to be generated

fdataobj

fdata class object.

mu

Functional trend, by default mu=\(\mu(t)=0\). An object of class fdata. If mu is a fdata class object, t\(=\)argvals(mu).

sdarg

Standard deviation of the coefficients.

norm

Norm of the coefficients. The norm is adjusted before the transformation for sdarg is performed.

coef

Coefficients of the combination. A matrix with number of columns equal to number of curves in fdataobj

Value

Return the functional trajectories as a fdata class object.

Details

rcombfdata generates n random linear combinations of the fdataobj curves plus a functional trend mu. The coefficients of the combinations follows a normal distribution with zero mean and standard deviation sdarg.

See also

See Also as rproc2fdata

Author

Manuel Febrero-Bande, Manuel Oviedo de la Fuente manuel.oviedo@udc.es

Examples

if (FALSE) { # \dontrun{
tt=seq(0,1,len=51)
fou3=create.fourier.basis(c(0,1),nbasis=3)
fdataobj=fdata(t(eval.basis(tt,fou3)),argvals=tt)

coef=expand.grid(0,seq(-1,1,len=11),seq(-1,1,len=11))
grid=gridfdata(coef,fdataobj)
plot(grid,lty=1)

rcomb=rcombfdata(n=51,fdataobj,mu=fdata(30*tt*(1-tt),tt))
plot(rcomb,lty=1)
} # }