Table 2 Median, mean, standard deviation, skewness and Kurtosis of the BIIIMO-W distribution
From: On Burr III Marshal Olkin family: development, properties, characterizations and applications
Parameters α, β, λ, b | Median | Mean | Standard Deviation | Skewness | Kurtosis |
|---|---|---|---|---|---|
1,5,5,5 | 1.1771 | 1.1780 | 0.0545 | 0.2111 | 4.9161 |
2,5,5,5 | 1.2034 | 1.2079 | 0.04693 | 0.8716 | 5.9434 |
3,5,5,5 | 1.2174 | 1.2232 | 0.0452 | 1.1058 | 6.6793 |
5,0.1,5,5 | 1.7972 | 1.8793 | 0.9214 | 0.1150 | 1.9890 |
5,0.5,5,5 | 1.9479 | 2.0645 | 0.6437 | 0.5428 | 2.4137 |
5,0.6,5,5 | 1.8321 | 1.9746 | 0.6159 | 0.8302 | 2.9991 |
5,1,5,5 | 1.5246 | 1.6301 | 0.3962 | 1.7014 | 6.7042 |
0.5,1.5,0.5,5 | 0.8426 | 1.3586 | 1.1866 | 1.4186 | 3.2418 |
0.5,1.5,1.5,5 | 0.9185 | 0.9232 | 0.2749 | 0.6282 | 5.9778 |
0.5,1.5,2.5,5 | 0.9858 | 0.9805 | 0.2668 | 0.4229 | 5.6954 |
0.1,3.25,0.5,5 | 0.5710 | 0.5575 | 0.2477 | −0.0171 | 2.9788 |
0.1,3.25,0.75,5 | 0.6175 | 0.5985 | 0.2616 | −0.0403 | 3.5046 |
0.1,3.25,1,5 | 0.6521 | 0.6282 | 0.2694 | −0.1980 | 2.2918 |
1,10,1,10 | 1.0000 | 1.0001 | 0.0181 | 0.0954 | 4.2672 |
5,5,5,1 | 2.8679 | 2.9859 | 0.5965 | 3.9302 | 127.836 |
5,5,5,3 | 1.4208 | 1.4346 | 0.0866 | 1.4729 | 9.1049 |
5,5,5,5 | 1.2346 | 1.2413 | 0.0443 | 1.3008 | 7.4790 |