Harmonic mean
Lognormal distribution

The harmonic mean (H) of the lognormal distribution of a random variable X is

where μ and σ are the parameters of the distribution, i.e. the mean and variance of the distribution of the natural logarithm of X.

The harmonic and arithmetic means of the distribution are related by

where C and μ are the coefficient of variation and the mean of the distribution respectively..

The geometric (G), arithmetic and harmonic means of the distribution are related by
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