UPPER BOUNDS FOR THE HARMONIC MEAN, WITH AN APPLICATION TO EXPERIMENTAL DESIGN
- 1 June 1986
- journal article
- Published by Wiley in Australian Journal of Statistics
- Vol. 28 (2) , 220-229
- https://doi.org/10.1111/j.1467-842x.1986.tb00602.x
Abstract
Summary: For positive‐valued random variables, the paper provides a sequence of upper bounds for the harmonic mean, theith of these bounds being exact if and only if the random variable is essentiallyi‐valued. Sufficient conditions for the convergence of the bounds to the harmonic mean are given. The bounds have a number of applications, particularly in experimental design where they may be used to check how close a given design is toA‐optimalityKeywords
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