funData {gmfd}

S3 Class for functional datasets. A class for univariate or multivariate functional dataset.

Description

S3 Class for functional datasets. A class for univariate or multivariate functional dataset.

Usage

funData(grid, data)

Arguments

grid

the grid over which the functional dataset is defined.

data

a vector, a matrix or a list of vectors or matrices containing the functional data.

Value

The function returns a S3 object of class funData, containing the grid over which the functional dataset is defined and a matrix or a list of vectors or matrices containing the functional data

See Also

gmfd_simulate

Examples

# Define parameters
n <- 50
P <- 100
K <- 150

# Grid of the functional dataset
t <- seq( 0, 1, length.out = P )

# Define the means and the parameters to use in the simulation
m1 <- t^2 * ( 1 - t )
m2 <- t * ( 1 - t )^2

rho <- rep( 0, K )
theta <- matrix( 0, K, P )
for ( k in 1:K) {
  rho[k] <- 1 / ( k + 1 )^2
  if ( k%%2 == 0 )
    theta[k, ] <- sqrt( 2 ) * sin( k * pi * t )
  else if ( k%%2 != 0 && k != 1 )
    theta[k, ] <- sqrt( 2 ) * cos( ( k - 1 ) * pi * t )
  else
    theta[k, ] <- rep( 1, P )
}
# Simulate the functional data
x1 <- gmfd_simulate( n, m1, rho = rho, theta = theta )
x2 <- gmfd_simulate( n, m2, rho = rho, theta = theta )

FD <- funData( t, list( x1, x2 ) )