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Harmonic Mean Index

The statistical Index

P_H\equiv {\sum v_0\over\sum {v_0p_0\over p_n}} = {\sum p_0q_0\over \sum{{p_0}^2q_0\over p_n}},

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

See also Index


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

© 1996-9 Eric W. Weisstein