Definition
In mathematics, the harmonic mean is one of several kinds of average, and in particular one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates is desired.
Harmonic Average
What is ‘Harmonic Average’
The mean of a set of positive variables. Calculated by dividing the number of observations by the reciprocal of each number in the series.
Also known as “harmonic mean”.
Explaining ‘Harmonic Average’
Alternately, the harmonic average could be thought of as the reciprocal of the arithmetic mean of inverse values.
Further Reading
- Asian options on the harmonic average – www.tandfonline.com [PDF]
- Difference Between Arithmetic Average and Harmonic Average and the Discrimination of Those Related Problems – en.cnki.com.cn [PDF]
- Using the price-to-earnings harmonic mean to improve firm valuation estimates – www.jstor.org [PDF]
- Stabilizing high‐order, non‐classical harmonic analysis of NDVI data for average annual models by damping model roughness – www.tandfonline.com [PDF]
- A Hybrid Autoregressive Integrated Moving Average-phGMDH Model to Forecast Crude Oil Price – search.proquest.com [PDF]
- From harmonically modulated structures to quasicrystals – www.tandfonline.com [PDF]
- Angular average of time-harmonic transport solutions – www.tandfonline.com [PDF]
- Forecast model for financial time series: An approach based on harmonic oscillators – www.sciencedirect.com [PDF]
