Table 1. Examples of kernels in the quartic family.
p | Θp(0) | βL | βU | Kernel type |
0 | 1/2 | 1 | 1 | Uniform |
1 | 3315/4096 | .677 | .820 | |
4/3 | 70/81 | .663 | .828 | |
2 | 15/16 | .659 | .856 | Quartic |
2.382 | 1 | .615 | .818 | |
3 | 35/32 | .556 | .761 | Triweight |
5 | 693/512 | .438 | .624 | |
10 | .541 | .298 | .449 | |
∞ | ∞ | 0 | 0 | Dirac delta |
Normalization constant and the parameters of the causal region,
and
for a selection of values of the kernel parameter p in the quartic family of kernels.