Journal of Statistical Distributions and Applications

Table 2 Parameters (mean μ , median $\tilde{μ}$ , variance σ ² , and coefficient of skewness ξ ) for S N ( α ) distributions for the given values of α

From: Efficient and adaptive rank-based fits for linear models with skew-normal errors

α	0.00	1.00	2.00	4.00	6.00	7.00	8.00	10.00	15.00	20.00	∞
μ	0.00	0.56	0.71	0.77	0.79	0.79	0.79	0.79	0.80	0.80	0.80
$\tilde{μ}$	0.00	0.55	0.66	0.67	0.67	0.67	0.67	0.67	0.67	0.67	0.67
σ ²	1.00	0.68	0.49	0.40	0.38	0.38	0.37	0.37	0.37	0.36	0.36
ξ	0.00	0.14	0.45	0.78	0.89	0.92	0.93	0.96	0.98	0.98	0.99

The values in the last column (∞ ) are those for a half-normal distribution.

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