# How to estimate harmonic mean?

Is there a way to estimate harmonic mean given other statistics such as arithmetic mean, variance, min, max, ... .

The goal is to estimate the mean incrementally as we get new data using a few counters.

• You can use the AM-GM -HM inequality to get an upper bound. – Alex R. May 29 '18 at 23:37
• Unfortunately, the GM bound is too loose in practical cases. Is there a way to augment it with something that improves the bound? – Masood_mj May 29 '18 at 23:49