k.epa: Rescaled Epanechnikov kernel

In sicure: Single-Index Mixture Cure Models

Rescaled Epanechnikov kernel

Description

This function computes the rescaled Epanechnikov kernel for a given value s and bandwidth g:

K\left(\frac{s}{g}\right) = \frac{3}{4g} \left( 1 - \left(\frac{s}{g}\right)^2 \right) I\left(\left|\frac{s}{g}\right| \leq 1\right),

where I is the indicator function (it takes the value 1 if the condition is true and 0 otherwise).

Usage

k.epa(g, s)

Arguments

g	A numeric value or vector which contains the bandwidth(s).
s	A numeric value or vector with the values of the variable in which the kernel will be evaluated.

Value

Rescaled Epanechnikov kernel for the given value s and bandwidth g.

Examples

k.epa(g=5,s=2)
k.epa(g=5,s=c(2,1.5))
k.epa(g=c(5,6),s=c(2,1.5))

sicure documentation built on June 8, 2025, 11:33 a.m.