Table 2 Mean, variance, skewness and kurtosis calculations for GC(α, β,1)
From: The generalized Cauchy family of distributions with applications
α | β | Mean | Variance | Skewness | Kurtosis |
|---|---|---|---|---|---|
4 | 0.01 | -10.7296 | 56.4986 | -5.2367 | * |
0.1 | -0.8567 | 0.7824 | -3.8549 | * | |
0.2 | 0.0774 | 0.6096 | 0.2118 | * | |
0.3 | 0.8738 | 2.7446 | 18.0382 | * | |
5 | 0.01 | -8.0673 | 21.2643 | -3.4321 | 44.2181 |
0.1 | -0.5021 | 0.3953 | -1.7868 | 17.6345 | |
0.2 | 0.4480 | 0.6855 | 2.4384 | 56.5459 | |
0.3 | 1.5732 | 6.8542 | 22.1028 | * | |
8 | 0.01 | -4.6280 | 3.5337 | -1.9178 | 5.9542 |
0.1 | 0.1248 | 0.2153 | 0.7560 | 3.2951 | |
0.2 | 1.6343 | 2.7528 | 6.3891 | 395.2955 | |
0.3 | 5.3887 | 124.9174 | 13.2288 | * | |
10 | 0.01 | -3.5986 | 1.6310 | -1.5609 | 15.6352 |
0.1 | 0.4431 | 0.2448 | 0.9704 | 8.1938 | |
0.2 | 2.7883 | 8.3416 | 8.3283 | 802.9949 | |
0.3 | 11.1914 | 840.3657 | 5.1306 | * |