gamma1.to.lambda {sn} | R Documentation |
For a given value of the index of skewness (standardized third cumulant), the function finds the corresponding shape parameter of a skew-normal distribution.
gamma1.to.lambda(gamma1)
gamma1 |
a numeric vector of indices of skewness. |
Feasible values for input must have abs(gamma1)<0.5*(4-pi)*(2/(pi-2))^1.5
,
which is about 0.99527.
If some values of gamma1
are not in the feasible region, a warning
message is issued, and NA
s are returned.
See the reference below for the expression of the index of skewnnes of a skew-normal distribution.
A numeric vector of the corresponding shape parameters.
Azzalini, A. (1985). A class of distributions which includes the normal ones. Scand. J. Statist. 12, 171-178.
gamma1.to.lambda(seq(-0.95, 0.95, length=11))