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Harmonic Mean Index


The statistical index

 P_H=(sumv_0)/(sum(v_0p_0)/(p_n))=(sump_0q_0)/(sum(p_0^2q_0)/(p_n)),

where p_n is the price per unit in period n, q_n is the quantity produced in period n, and v_n=p_nq_n the value of the n units, and subscripts 0 indicate the reference year.


See also

Index

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References

Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 1, 3rd ed. Princeton, NJ: Van Nostrand, p. 69, 1962.

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Harmonic Mean Index

Cite this as:

Weisstein, Eric W. "Harmonic Mean Index." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HarmonicMeanIndex.html

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