Talk:Johnson's SU-distribution

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Properties of the distribution

The PDF of this function is is

${\frac {\sigma }{\lambda {\sqrt {2\pi (z^{2}+1)}}}}\exp[-{\frac {1}{2}}(\gamma +\sigma \sinh ^{-1}(z)^{2}]$

where $z={\frac {x-\chi }{\lambda }}$

The variance is

$0.5\lambda ^{2}[\exp(\sigma ^{-2}-1)][\exp(\sigma ^{-2}\cosh ^{2}({\frac {2\gamma }{\sigma }})+1]$

For reasons that I cannot currently fathom, if I try to add these to the infobox on the main page it will not accept this. I'm sure some other editor can do this. Thanks in advance. DrMicro (talk) 10:44, 6 November 2012 (UTC)[reply]