Table 1 Coefficient of variation γ 2, coefficient of skewness γ 3, and kurtosis γ 4 for B-S and I-G distributions
From: Revisit of relationships and models for the Birnbaum-Saunders and inverse-Gaussian distributions
Distribution | γ 2 | γ 3 | γ 4 |
|---|---|---|---|
B-S(α, β) | \(\frac {\alpha \sqrt {4 + 5 \alpha ^{2}}}{2 + \alpha ^{2}}\) | \(\frac {4 \alpha (6 + 11 \alpha ^{2})}{(4 + 5 \alpha ^{2})^{3/2}}\) | \(3 + \frac {6 \alpha ^{2} (40 + 93 \alpha ^{2})}{(4 + 5 \alpha ^{2})^{2}}\) |
I-G(μ, λ) | \(\sqrt {\frac {\mu }{\lambda }}\) | \(3\sqrt {\frac {\mu }{\lambda }}\) | \(3 + 15 \left (\frac {\mu }{\lambda }\right)\) |