On the bias and sampling variation of the harmonic average

Jerry L. Jensen, Simon D. Thomas, P. W M Corbett

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We derive the bias and sampling variation of the harmonic average. These expressions, based on the lognormal distribution, are validated using Monte Carlo and jackknife analysis of field data. The average has a positive bias. The sampling variation results suggest that, for moderate to large sample sizes, the harmonic average is no more variable than the arithmetic average if the medium is appropriately sampled.

Original languageEnglish
Pages (from-to)267-276
Number of pages10
JournalMathematical Geology
Volume29
Issue number2
Publication statusPublished - 1997

Keywords

  • Effective permeability
  • Fluvial sandstone
  • Lognormal distribution
  • Monte Carlo
  • Sample design
  • Site characterization

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