integral_operator {fdaACF} | R Documentation |
Compute the integral transform of the
curve Y_i
with respect to a given integral
operator \Psi
. The transformation is given by
\Psi(Y_{i})(v) = \int \psi(u,v)Y_{i}(u)du
integral_operator(operator_kernel, curve, v)
operator_kernel |
Matrix with the values
of the kernel surface of the integral operator.
The dimension of the matrix is |
curve |
Vector containing the discretized values
of a functional observation. The dimension of the
matrix is |
v |
Numerical vector specifying the discretization points of the curves. |
Returns a matrix the same size as
curve
with the transformed values.
# Example 1
v <- seq(from = 0, to = 1, length.out = 20)
set.seed(10)
curve <- sin(v) + rnorm(length(v))
operator_kernel <- 0.6*(v %*% t(v))
hat_curve <- integral_operator(operator_kernel,curve,v)