kernel4 | R Documentation |
This function evaluates a kernel of order 4.
kernel4(x)
x |
A vector of real numbers. |
This function evaluates a kernel of order 4. A kernel L is a kernel of order 4 if it integrates 1, the integrals of u^j L(u) are 0 for 1 <= j < 4 (j integer) and the integral of u^4 L(u) is different from 0.
A vector of the same length as x
where each entry is ( 15/32 ) * ( 1 - x^2 ) * ( 3 - 7 * x^2 )
if abs(x) < 1
and 0 otherwise.
Alejandra Martinez, ale_m_martinez@hotmail.com, Matias Salibian-Barrera
x <- seq(-2,2,length=10)
kernel4(x)
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