# Why (or when) to use the log-mean?

I am looking at a scientific paper in which a single measurement is calculated using a logarithmic mean

'triplicate spots were combined to produce one signal by taking the logarithmic mean of reliable spots'

Why choose the log-mean?

Are the authors making an assumption about the underlying distribution?

That it is what...Log-Normal?

Have they just picked something they thought was reasonable... i.e. between a a mean and a geometric mean?

Any thoughts?

-
maybe a reference to the paper could help ? – robin girard Jul 27 '10 at 14:52
Slightly related question: stats.stackexchange.com/questions/298/… – Shane Jul 27 '10 at 14:53
You may find this paper of interest, which discusses the log mean and how it refines the 'arithmetic mean - geometric mean' inequality: ias.ac.in/resonance/June2008/p583-594.pdf – Tony Breyal Jul 27 '10 at 15:03