Cross-sectional mean of of a fData object.

This S3 method implements the cross-sectional mean of a univariate functional dataset stored in a fData object, i.e. the mean computed point-by-point along the grid over which the dataset is defined.

# S3 method for fData
mean(x, ...)

Arguments

x

the univariate functional dataset whose cross-sectional mean must be computed, in form of fData object.

...

possible additional parameters. This argument is kept for compatibility with the S3 definition of mean, but it is not actually used.

Value

The function returns a fData object with one observation defined on the same grid as the argument x's representing the desired cross-sectional mean.

See also

fData

Examples

N = 1e2
P = 1e2
grid = seq( 0, 1, length.out = P )

# Generating a gaussian functional sample with desired mean
target_mean = sin( 2 * pi * grid )
C = exp_cov_function( grid, alpha = 0.2, beta = 0.2 )
fD = fData( grid, generate_gauss_fdata( N,
                                      centerline = target_mean,
                                       Cov = C ) )

# Graphical representation of the mean
plot( fD )
plot( mean( fD ), col = 'black', lwd = 2, lty = 2, add = TRUE )