📄 _crczsku.ado
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*! version 3.0.2 11nov1997
program define _crczsku, rclass
* touched by kth
version 3.0
/*
Args: 1=skewness or z(skewness),
2=#obs, 3=0 (find Z), ~0(find skewness, i.e. invert).
Result returned in r(target)
*/
local invert = (`3'~=0)
local an13 = (`2'+1)*(`2'+3)
local an2 = `2'-2
local Beta2= (3*(`2'*`2'+27*`2'-70)*`an13')/ /*
*/ (`an2'*(`2'+5)*(`2'+7)*(`2'+9))
local W2 = -1 + sqrt(2*(`Beta2'-1))
local delta = 1/sqrt(log(sqrt(`W2')))
local alpha = sqrt(2/(`W2'-1))
if `invert' {
local Y = `1'/`delta'
ret scalar target = 0.5*(exp(`Y')-exp(-`Y'))*`alpha'/ /*
*/ sqrt(`an13'/(6*`an2'))
}
else {
local Y = `1'*sqrt(`an13'/(6*`an2'))/`alpha'
ret scalar target = `delta'*log(`Y'+sqrt(`Y'^2+1))
}
end
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