Kernels {HQM} | R Documentation |
Classical (unmodified) kernel and related functionals
Description
Implements the classical kernel function and related functionals
Usage
K_b(b,x,y, K)
xK_b(b,x,y, K)
K_b_mat(b,x,y, K)
Arguments
x |
A vector of design points where the kernel will be evaluated. |
y |
A vector of sample data points. |
b |
The bandwidth to use (a scalar). |
K |
The kernel function to use. |
Details
The function K_b
implements the classical kernel function calculation
h^{-1} K \left ( \frac{x-y}{h} \right )
for scalars x
and y
while xK_b
implements the functional
h^{-1} K \left ( \frac{x-y}{h} \right )(x-y)
again for for scalars x
and y
. The function K_b_mat
is the vectorized version of K_b
. It uses as inputs the vectors (X_1, \dots, X_n)
and (Y_1, \dots, Y_n)
and returns a n \times n
matrix with entries
h^{-1} K \left ( \frac{X_i-Y_j}{h} \right )
Value
Scalar values for K_b
and xK_b
and matrix outputs for K_b_mat
.
[Package HQM version 1.0 Index]