Editing Log-normal distribution (section)

=== Other ===

A set of data that arises from the log-normal distribution has a symmetric [[Lorenz curve]] (see also [[Lorenz asymmetry coefficient]]).<ref name="EcolgyArticle">{{cite journal | doi = 10.1890/0012-9658(2000)081[1139:DIIPSO]2.0.CO;2 | last1 = Damgaard | first1 = Christian | first2 = Jacob | last2 = Weiner | title = Describing inequality in plant size or fecundity | journal = Ecology | year = 2000 | volume = 81 | issue = 4 | pages = 1139–1142 }}</ref>

The harmonic <math>H</math>, geometric <math>G</math> and arithmetic <math>A</math> means of this distribution are related;<ref name="Rossman1990">{{cite journal | last = Rossman | first = Lewis A | date = July 1990 | title = Design stream flows based on harmonic means | journal = Journal of Hydraulic Engineering | volume = 116 | issue = 7 | pages = 946–950 | doi = 10.1061/(ASCE)0733-9429(1990)116:7(946)}}</ref> such relation is given by

<math display="block">H = \frac{G^2} A.</math>

Log-normal distributions are [[infinite divisibility (probability)|infinitely divisible]],<ref name="OlofThorin1978LNInfDivi"/> but they are not [[stable distribution]]s, which can be easily drawn from.<ref name="Gao"/>