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. 2012 Dec 27;7(12):e52253. doi: 10.1371/journal.pone.0052253

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 Inline graphic and the parameters of the causal region, Inline graphic and Inline graphic for a selection of values of the kernel parameter p in the quartic family of kernels.