From: On Burr III Marshal Olkin family: development, properties, characterizations and applications
Parameters α, β, λ, b | Median | Mean | Standard Deviation | Skewness | Kurtosis |
---|---|---|---|---|---|
1,1,1,1 | 1.5675 | 5.3348 | 15.3851 | 8.2183 | 90.6069 |
2,1,1,1 | 3.3663 | 9.5872 | 22.6103 | 6.4326 | 55.7313 |
3,1,1,1 | 5.0424 | 13.5865 | 29.5541 | 5.8056 | 45.5406 |
4,1,1,1 | 6.6589 | 17.6427 | 37.3102 | 5.5979 | 42.3776 |
5,1,1,1 | 8.1887 | 19.9071 | 36.5353 | 4.6082 | 29.1756 |
1,10,1,1 | 1.5826 | 1.6022 | 0.2585 | 0.8210 | 6.4705 |
0.65,10,5,1 | 3.1084 | 3.1032 | 0.3673 | 0.0413 | 4.5913 |
0.65,10,5,0.15 | 23.9115 | 23.8698 | 2.5003 | 0.0084 | 4.4424 |
0.5,10,3,0.10 | 29.9001 | 29.7078 | 3.9877 | −0.1783 | 4.1985 |
0.15,20,0.5,0.95 | 0.8711 | 0.8362 | 0.2341 | −0.5213 | 2.9375 |
0.15,20,0.5,0.5 | 1.9486 | 1.8711 | 0.4854 | −0.5968 | 3.0644 |
0.5,20,0.5,0.5 | 2.3013 | 2.2875 | 0.2677 | −0.2134 | 4.1862 |
0.1,9,0.5,0.5 | 1.1787 | 1.2283 | 0.7764 | 0.4073 | 2.6804 |
0.1,9,0.35,0.5 | 0.8983 | 0.9548 | 0.6292 | 0.5181 | 2.9726 |
0.1,10,1.1,0.4 | 2.8248 | 2.7678 | 1.4233 | 0.0055 | 2.2482 |
0.1,10,1.3,0.4 | 3.1227 | 3.0411 | 1.5263 | −0.0426 | 2.2369 |
0.1,10,2,0.4 | 3.9758 | 3.8169 | 1.7934 | −0.1728 | 2.2366 |
0.1,10,2,1.8 | 0.6578 | 0.6423 | 0.3405 | −0.0045 | 2.1782 |
0.1,10,2,1.9 | 0.6160 | 0.6020 | 0.3203 | 0.0051 | 2.1889 |