 The harmonic mean ( "H" ) of a lognormal distribution is

where "μ" is the arithmetic mean and "σ"2 is the variance of the distribution.The harmonic and arithmetic means are related by

where "C"v is the coefficient of variation.The geometric ("G"), arithmetic and harmonic means are related by

The harmonic mean of type 1 Pareto distribution is

where "k" is the scale parameter and "α" is the shape parameter.